From eb6779a307d31115d43bb0a55ad417e05f42b1ff Mon Sep 17 00:00:00 2001 From: lucagravina <luca.gravina@epfl.ch> Date: Tue, 16 Nov 2021 12:10:59 +0100 Subject: [PATCH] Added files from original github repository --- Strucutral codes/.DS_Store | Bin 0 -> 6148 bytes .../.DS_Store | Bin 0 -> 6148 bytes .../Example_-_1st_order_PT_in_Kerr_.ipynb | 322 ++ ...Example_-_block_diagonalization_tool.ipynb | 634 ++++ .../block_diagonalize.cpython-39.pyc | Bin 0 -> 3958 bytes .../Examples/block_diagonalize.py | 251 ++ .../block_diagonalize.py | 251 ++ Tests/Phase diagrams/.DS_Store | Bin 0 -> 6148 bytes .../PD viewer-checkpoint.ipynb | 306 ++ .../DeltaU_PD_multipleG/DeltaU_PD_multiG.py | 86 + .../DeltaU_PD_multiG_viewer.ipynb | 166 ++ .../DeltaU_multiG_scan.gif | Bin 0 -> 769015 bytes .../DeltaU_multiG_scan.pckl | Bin 0 -> 2321019 bytes Tests/Phase diagrams/GDelta_PD.py | 84 + Tests/Phase diagrams/GoverDelta_scan.pckl | Bin 0 -> 79771 bytes Tests/Phase diagrams/UG_PD/UG_PD.py | 85 + Tests/Phase diagrams/UG_PD/UG_PD_viewer.ipynb | 306 ++ Tests/Phase diagrams/UG_PD/UG_scan.pckl | Bin 0 -> 1165685 bytes .../Quench_MK1-checkpoint.ipynb | 404 +++ Tests/Ramp_G/Quench_MK1.ipynb | 404 +++ .../block_diagonalize.cpython-38.pyc | Bin 0 -> 3953 bytes Tests/Ramp_G/block_diagonalize.py | 252 ++ Tests/test1.ipynb | 2277 ++++++++++++++ Tests/test2.ipynb | 2639 +++++++++++++++++ 24 files changed, 8467 insertions(+) create mode 100644 Strucutral codes/.DS_Store create mode 100644 Strucutral codes/Liouvillian block diagonalization/.DS_Store create mode 100644 Strucutral codes/Liouvillian block diagonalization/Examples/Example_-_1st_order_PT_in_Kerr_.ipynb create mode 100644 Strucutral codes/Liouvillian block diagonalization/Examples/Example_-_block_diagonalization_tool.ipynb create mode 100644 Strucutral codes/Liouvillian block diagonalization/Examples/__pycache__/block_diagonalize.cpython-39.pyc create mode 100644 Strucutral codes/Liouvillian block diagonalization/Examples/block_diagonalize.py create mode 100644 Strucutral codes/Liouvillian block diagonalization/block_diagonalize.py create mode 100644 Tests/Phase diagrams/.DS_Store create mode 100644 Tests/Phase diagrams/.ipynb_checkpoints/PD viewer-checkpoint.ipynb create mode 100644 Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG.py create mode 100644 Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG_viewer.ipynb create mode 100644 Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_multiG_scan.gif create mode 100644 Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_multiG_scan.pckl create mode 100644 Tests/Phase diagrams/GDelta_PD.py create mode 100644 Tests/Phase diagrams/GoverDelta_scan.pckl create mode 100644 Tests/Phase diagrams/UG_PD/UG_PD.py create mode 100644 Tests/Phase diagrams/UG_PD/UG_PD_viewer.ipynb create mode 100644 Tests/Phase diagrams/UG_PD/UG_scan.pckl create mode 100644 Tests/Ramp_G/.ipynb_checkpoints/Quench_MK1-checkpoint.ipynb create mode 100644 Tests/Ramp_G/Quench_MK1.ipynb create mode 100644 Tests/Ramp_G/__pycache__/block_diagonalize.cpython-38.pyc create mode 100644 Tests/Ramp_G/block_diagonalize.py create mode 100644 Tests/test1.ipynb create mode 100644 Tests/test2.ipynb diff --git a/Strucutral codes/.DS_Store b/Strucutral codes/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..d26d9a727c6e9c22f662a84844b0b24fae063d88 GIT binary patch literal 6148 zcmeHK!A`?447Il*745Pk$M6Mce^91!<F+4wuF{xjn;jSjPW==P{0V=;m+%~0s8iuK zP=)Nuc}^O;$+MKyM8vB@wIo^)Q3e&9oTK?h<h|%XCN?qya*FXxJF4;Q=zcKU2gb;N z<nEGgk+Dbz>gTVeKqYb+X+w{&tCZC(`Yp06Ieq~?CC|3rF4vpb?0Z{0LDVJ|MOnuZ zQL~S?t9bVMetnwtHnIAp$oq!@6FpMgbOxLOXJ8Zzu&yGTk76~x2xq_<7!w0>J_M*> zZrCZNqXSJU0f6!wnFO}f65<mKbHh#%Zy>C$Ky_s+F<9L(9&BE2*eR+zu@xU|UuLUN zIDH-QLz+&UD|+h;I0MHFOtrg^`~T+W`v2I;d(MC}@UIx)S+Oow*pl6?gU!iZ8=!Yk p5t-L1e!0L%S25<wReS+Wg7F{*FgNTJF#_=)fkcBh&cL5C@Ck+?Re=Bi literal 0 HcmV?d00001 diff --git a/Strucutral codes/Liouvillian block diagonalization/.DS_Store b/Strucutral codes/Liouvillian block diagonalization/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..52d9d7e10c7ff93ac06a88d01f625594b2eb716d GIT binary patch literal 6148 zcmeHKT}s3-5T4N$3cl>4kGX;L2C;Nc&<p6gq7N-CEP}q}D0_gtg%|Ui%qXp!2OmU4 zW+3?{nV+N|G|3PVH_yA8XiY>Fnjni(5ScET&dhlQ<eX!oo*ro5Kh|9#(O;aBy;roM z7rLW?X8XS%hiSIq6Q5yh+igE?CH~l4zg`^PZc4d^arZ61>8b9%tT|iWRcF8%a0Z+K zXW+*ez@05pT`GF-3^)VMz$XK8J_IzuXqXi9(Sa_P06=+0XMrxYgv12HXqXgXfv|=G zHI%KyU=7E7Fu!P+6g8aKiVwDxKZ+O5t0RBN?!-~iduPBISTb;~!?oQ18~ifGB7Yg; 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Here we neglect two-photon dissipation, $\\gamma=0$. \n", + "\n", + "Note that because of the one photon drive, the Liouvillian is not parity symmetric. First, we look at the thermodynamic limit $N\\to\\infty$ by taking \n", + "\n", + "$$ F = \\tilde{F}\\sqrt{N} \\qquad\\text{ and }\\qquad U = \\tilde{U}/N $$\n", + "\n", + "We show the behaviour of the rescaled number of photons $⟨a^\\dagger a⟩/N$ as a function of the rescaled driving $\\tilde{F}/\\gamma$ for $N=20$. The photon number should witness a first order phase transition." + ] + }, + { + "cell_type": "markdown", + "id": "4861a023", + "metadata": {}, + "source": [ + "## TD limit investigation\n", + "#### Example of spectrum" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "e936a772", + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(40)\n", + "\n", + "gamma = 1 \n", + "eta = 0\n", + "c_ops=[np.sqrt(eta)*a**2, np.sqrt(gamma)*a]\n", + "\n", + "Utilde = 10\n", + "Δ = 10\n", + "Ftilde = 1\n", + "\n", + "N = 10\n", + "U = Utilde/N\n", + "F = Ftilde*np.sqrt(N)\n", + "G = 0\n", + "\n", + "H = -Δ*a.dag()*a + G/2*(a.dag()**2 + a**2) + U/2*(a.dag()**2 * a**2) + F*(a+a.dag())\n", + "LL=liouvillian(H, c_ops)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f7867354", + "metadata": {}, + "outputs": [], + "source": [ + "evals, evecs = LL.eigenstates()" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "43baf8ca", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.xscale(\"log\")\n", + "plt.plot(np.abs(np.real(evals)), np.imag(evals),'.')\n", + "plt.plot(np.abs(np.real(evals[-1])), np.imag(evals[-1]),'ro', label=r\"$\\lambda_0$\")\n", + "plt.plot(np.abs(np.real(evals[-2])), np.imag(evals[-2]),'yo', label=r\"$\\lambda_1$\")\n", + "\n", + "plt.xlabel(r\"$-\\Re(\\lambda)$\")\n", + "plt.ylabel(r\"$\\Im(\\lambda)$\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "markdown", + "id": "c6c26e08", + "metadata": {}, + "source": [ + "#### Phase line" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "4ab55057", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Completed 50/50" + ] + } + ], + "source": [ + "Ftilde_space = np.linspace(0,5,50)\n", + "gap = np.zeros(Ftilde_space.size)\n", + "n = np.zeros(Ftilde_space.size)\n", + "\n", + "for i in range(Ftilde_space.size):\n", + " F = Ftilde_space[i]*np.sqrt(N)\n", + " H = -Δ*a.dag()*a + G/2*(a.dag()**2 + a**2) + U/2*(a.dag()**2 * a**2) + F*(a+a.dag())\n", + " LL=liouvillian(H, c_ops)\n", + " \n", + " evals, evecs = LL.eigenstates()\n", + " \n", + " gap[i] = -np.real(evals[-2])#-np.abs(evals[-1])\n", + " n[i] = np.abs((vector_to_operator(evecs[-1]) * (a.dag()*a)).tr())\n", + " print(\"\\rCompleted %d/%d\"%(i+1,Ftilde_space.size),end=\"\")" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "cb060ad6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1080x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2, figsize=(15,5))\n", + "\n", + "ax[0].plot(Ftilde_space,n/N, '.-')\n", + "ax[0].set_xlabel(r\"$\\tilde{F}/\\gamma$\")\n", + "ax[0].set_ylabel(r\"$\\langle{a^{\\dagger} a}\\rangle/N$\")\n", + "\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].plot(Ftilde_space,gap, '.-')\n", + "ax[1].set_xlabel(r\"$\\tilde{F}/\\gamma$\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1/\\gamma)$\");" + ] + }, + { + "cell_type": "markdown", + "id": "5ae5c40b", + "metadata": {}, + "source": [ + "## Detuning vs Interaction\n", + "\n", + "We forget here about the TDL and investigate the emergence of a 1st order PT at $\\Delta/U\\approx2$. We work at a fixed $F/§U$ and assume $G=0$. We consider both single- and two-photon dissipation." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "4a78bac7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Completed 60/60" + ] + } + ], + "source": [ + "a=destroy(40)\n", + "\n", + "U = 1\n", + "F = 30\n", + "G = 0\n", + "\n", + "gamma = 0.03\n", + "eta = gamma\n", + "c_ops=[np.sqrt(eta)*a**2, np.sqrt(gamma)*a]\n", + "\n", + "Delta_space = np.geomspace(0.5,100,60)\n", + "gap = np.zeros(Delta_space.size)\n", + "n = np.zeros(Delta_space.size)\n", + "\n", + "for i in range(Delta_space.size):\n", + " Δ = Delta_space[i]\n", + " H = -Δ*a.dag()*a + G/2*(a.dag()**2 + a**2) + U/2*(a.dag()**2 * a**2) + F*(a+a.dag())\n", + " LL=liouvillian(H, c_ops)\n", + " \n", + " evals, evecs = LL.eigenstates()\n", + " \n", + " gap[i] = np.abs(evals[-2])#-np.abs(evals[-1])\n", + " n[i] = np.abs((vector_to_operator(evecs[-1]) * (a.dag()*a)).tr())\n", + " print(\"\\rCompleted %d/%d\"%(i+1,Delta_space.size),end=\"\")" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "04cb06ed", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1080x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2, figsize=(15,5))\n", + "ax[0].set_xscale(\"log\")\n", + "ax[0].set_yscale(\"log\")\n", + "ax[0].set_xlabel(r\"$\\Delta/U$\")\n", + "ax[0].set_ylabel(r\"$\\langle{a^{\\dagger} a}\\rangle$\")\n", + "\n", + "ax[0].plot(Delta_space, n, '.-')\n", + "\n", + "\n", + "ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].set_xlabel(r\"$\\Delta/U$\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1)$\")\n", + "\n", + "ax[1].plot(Delta_space, gap, '.-');" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f1fb9ea0", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Strucutral codes/Liouvillian block diagonalization/Examples/Example_-_block_diagonalization_tool.ipynb b/Strucutral codes/Liouvillian block diagonalization/Examples/Example_-_block_diagonalization_tool.ipynb new file mode 100644 index 0000000..8971670 --- /dev/null +++ b/Strucutral codes/Liouvillian block diagonalization/Examples/Example_-_block_diagonalization_tool.ipynb @@ -0,0 +1,634 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import * \n", + "\n", + "import scipy.sparse as spr\n", + "import block_diagonalize\n", + "\n", + "import time" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Strong symmetry\n", + "\n", + "We study a driven-dissipative Kerr nonlinear resonator in the reference frame rotating at the coherent pump frequency (see Ch4 Farizio):\n", + "\n", + "$$\\hat{H}=-\\Delta\\,\\hat{a}^{\\dagger} \\hat{a}+ \\frac{G}{2}\\left( \\hat{a}^{{\\dagger}^2} + \\hat{a}^2\\right) + \\frac{U}{2}\\hat{a}^{\\dagger^2}\\hat{a}^2$$\n", + "\n", + "In the the Hamiltonian, $\\Delta$ is the pump-cavity detuning, $U$ the strength of the Kerr nonlinearity, quantifying the photon-photon interaction, and G is the two-photon pump amplitude.\n", + "\n", + "We consider first a two-photon dissipators: $\\sqrt{\\gamma}\\,\\,\\mathcal{D}\\left[\\hat{a}^2\\right]$.\n", + "\n", + "We consider the parity operator $P=\\exp{\\left(i\\pi\\,\\,\\hat{a}^\\dagger\\hat{a}\\right)}$ and the associated super-operator $\\mathcal{P}(\\cdot)=P(\\cdot) P^{\\dagger}$. The Liouvillian $\\mathcal{L}$ presents is strongly symmetric wrt $\\mathcal{P}$. \n", + "\n", + "In the strong case, there are two superparity super-operators, $\\mathcal{P}_{l}(\\cdot)=P(\\cdot)$ and $\\mathcal{P}_{r}(\\cdot)=(\\cdot) P^{\\dagger}$, that commute with each other as well as with $\\mathcal{L}$. \n", + "We thus expect $\\mathcal{L}$ to decompose in four blocks and have two NESS with opposite symmetry.\n", + "\n", + "The eigenvalues fully resolve the states $|+\\rangle\\langle+|$ from $|-\\rangle\\langle-|$ (and similarly $|+\\rangle\\langle-|$ from $|-\\rangle\\langle+|)$, yielding the finer block diagonalization $\\mathcal{L}=\\operatorname{Diag}\\left[\\mathcal{L}_{++}, \\mathcal{L}_{--}, \\mathcal{L}_{+-}, \\mathcal{L}_{-+}\\right]$.\n", + "\n", + "The key observation is that both $\\mathcal{L}_{++}$and $\\mathcal{L}_{--}$ have to admit steadystate eigenoperators, since their respective sectors house eigenoperators with nonzero trace. A strong transition is therefore a 2-to-4 transition: the dimension of the steadystate manifold increases from 2 to 4 as $\\mathcal{L}_{-+}$ and $\\mathcal{L}_{+-}$ pick up zero eigenvalues in the broken phase. This reasoning generalizes to $\\mathbb{Z}_{n}$ symmetries (see Table I)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(15)\n", + "\n", + "Delta=2\n", + "G=15\n", + "U=1\n", + "eta=2\n", + "\n", + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Look at $\\mathcal L$" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<225x225 sparse matrix of type '<class 'numpy.complex128'>'\n", + "\twith 1172 stored elements in Compressed Sparse Row format>" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "H=-Delta*a.dag()*a + G/2 *(a.dag()**2 +a**2) +U/2 *a.dag()**2*a**2\n", + "c_ops=[np.sqrt(eta)*a**2]\n", + "\n", + "LL=liouvillian(H, c_ops)\n", + "LL.data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + "bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + "num_blocks_L, blocks_list_L, bl_indices_L = block_diagonalize.get_blocks(bd_L)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Numebr of blocks: 4\n", + "# of non-zero elements in normal form: 1172\n", + "# of non-zero elements in block-diagonal form: 1172\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(LL)\n", + "ax[0].set_title(\"Normal form\")\n", + "ax[1].spy(bd_L)\n", + "ax[1].set_title(\"Block-diagonal form\");\n", + "print(\"Numebr of blocks:\",num_blocks_L)\n", + "print(\"# of non-zero elements in normal form:\",LL.data.count_nonzero())\n", + "print(\"# of non-zero elements in block-diagonal form:\",bd_L.count_nonzero())" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1440x1440 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,4,figsize=(20,20))\n", + "ax[0].spy(blocks_list_L[0])\n", + "ax[1].spy(blocks_list_L[1])\n", + "ax[2].spy(blocks_list_L[2])\n", + "ax[3].spy(blocks_list_L[3])\n", + "\n", + "ax[0].set_title(\"Block 0\")\n", + "ax[1].set_title(\"Block 1\")\n", + "ax[2].set_title(\"Block 2\")\n", + "ax[3].set_title(\"Block 3\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Look at $\\mathcal P$" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "Sparity = to_super(parity)\n", + "bd_Sparity = np.dot(P, np.dot(Sparity.data, np.transpose(P)))\n", + "num_blocks_Sparity, blocks_list_Sparity, bl_indices_Sparity = block_diagonalize.get_blocks(bd_Sparity)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(LL)\n", + "ax[1].spy(Sparity.dag()*LL*Sparity)\n", + "\n", + "ax[0].set_title(r\"$\\mathcal{L}$\")\n", + "ax[1].set_title(r\"$\\mathcal{P}^\\dagger\\mathcal{L}\\mathcal{P}$\");" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Numebr of blocks: 225\n", + "# of non-zero elements in normal form: 225\n", + "# of non-zero elements in block-diagonal form: 225\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(Sparity)\n", + "ax[0].set_title(\"Normal form\")\n", + "ax[1].spy(bd_Sparity)\n", + "ax[1].set_title(\"Block-diagonal form\");\n", + "print(\"Numebr of blocks:\",num_blocks_Sparity)\n", + "print(\"# of non-zero elements in normal form:\",Sparity.data.count_nonzero())\n", + "print(\"# of non-zero elements in block-diagonal form:\",bd_Sparity.count_nonzero())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Spectrum of $\\mathcal L$\n", + "\n", + "We note that there are two NESS with opposite symmetry and that the immediately higher eigenvalues do not have a vanishing imaginary component as they would in a first order PT." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1152x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(16,5))\n", + "\n", + "tic=time.time()\n", + "style_list=['rs', 'g^', 'yx', 'co']\n", + "parity_list=['+,+', '+,--', '--,+', '--,--']\n", + "for i in range(int(len(blocks_list_L))):\n", + " block = blocks_list_L[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + " ax[1].plot(-np.real(evals), np.imag(evals), style_list[i], label=parity_list[i])\n", + " ax[0].plot(-np.real(evals), np.imag(evals), style_list[i], label=parity_list[i])\n", + "\n", + "ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"symlog\")\n", + "ax[1].axhline(0,c='grey', linestyle='--',alpha=0.5)\n", + "\n", + "ax[1].set_xlabel(r\"$-\\Re(\\lambda)$\")\n", + "ax[1].set_ylabel(r\"$\\Im(\\lambda)$\")\n", + "ax[0].set_ylabel(r\"$\\Im(\\lambda)$\")\n", + "ax[0].set_xlabel(r\"$-\\Re(\\lambda)$\")\n", + "\n", + "ax[1].legend()\n", + "ax[0].legend();\n", + "#plt.xlim(-0.1,15)\n", + "#plt.ylim(-20, 20)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Weak symmetry\n", + "\n", + "We replace the previous dissipator with: $\\sqrt{\\gamma}\\,\\,\\mathcal{D}\\left[\\hat{a}\\right]$.\n", + "\n", + "This only gives a weak symmetry for which we expect $\\mathcal{L}$ to reduce into only two blocks, to present a single NESS with positive parity and a first order PT.\n", + "\n", + "The parity operator satisfies $P|\\pm\\rangle = \\pm|\\pm\\rangle$ with parity eigenvalues $\\pm 1$ and sets of eigenstates $\\{|\\pm\\rangle\\}$. Its superoperator version, $\\mathcal{P}(\\cdot)=P(\\cdot) P^{\\dagger}$, possesses $+1$ and $-1$ \"superparity\" eigenvalues, belonging respectively to eigenoperators $|\\pm\\rangle\\langle\\pm|$ and $|\\pm\\rangle\\langle\\mp|$. \n", + "\n", + "A weak $\\mathbb{Z}_{2}$ symmetry $\\mathcal{P}$ can thus be used to block-diagonalize $\\mathcal{L}$ into two sectors, $\\mathcal{L}=\\operatorname{Diag}\\left[\\mathcal{L}_{+}, \\mathcal{L}_{-}\\right]$, one for each superparity. \n", + "\n", + "Since the $-1$ superparity sector contains only traceless eigenoperators, the (trace-one) steady state of a finite-size system will necessarily have superparity $+1$ and be an eigenoperator of $\\mathcal{L}_{+}$. \n", + "\n", + "If a symmetry-broken order parameter is to acquire a non-zero steady-state expectation value in the infinite-size limit, $\\mathcal{L}_{-}$ must also pick up a zeroeigenvalue eigenoperator, and positive/negative mixtures of the original steady state and this new eigenoperator will become the two steady states of the system (a \"1-to2\" transition)." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(20)\n", + "\n", + "Delta=2\n", + "G=15#### Look at $\\mathcal L$\n", + "U=1\n", + "eta=2\n", + "\n", + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Look at $\\mathcal L$" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "H=-Delta*a.dag()*a + G/2 *(a.dag()**2 +a**2) +U/2 *a.dag()**2*a**2\n", + "c_ops=[np.sqrt(eta)*a**1]\n", + "\n", + "LL=liouvillian(H, c_ops)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + "bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + "num_blocks_L, blocks_list_L, bl_indices_L = block_diagonalize.get_blocks(bd_L)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Numebr of blocks: 2\n", + "# of non-zero elements in normal form: 2200\n", + "# of non-zero elements in block-diagonal form: 2200\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(LL)\n", + "ax[0].set_title(\"Normal form\")\n", + "ax[1].spy(bd_L)\n", + "ax[1].set_title(\"Block-diagonal form\");\n", + "print(\"Numebr of blocks:\",num_blocks_L)\n", + "print(\"# of non-zero elements in normal form:\",LL.data.count_nonzero())\n", + "print(\"# of non-zero elements in block-diagonal form:\",bd_L.count_nonzero())" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(blocks_list_L[0])\n", + "ax[1].spy(blocks_list_L[1])\n", + "#ax[2].spy(blocks_list_L[2])\n", + "#ax[3].spy(blocks_list_L[3])\n", + "\n", + "ax[0].set_title(\"Block 0\")\n", + "ax[1].set_title(\"Block 1\");\n", + "#ax[2].set_title(\"Block 2\")\n", + "#ax[3].set_title(\"Block 3\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Look at $\\mathcal P$" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "Sparity = to_super(parity)\n", + "bd_Sparity = np.dot(P, np.dot(Sparity.data, np.transpose(P)))\n", + "num_blocks_Sparity, blocks_list_Sparity, bl_indices_Sparity = block_diagonalize.get_blocks(bd_Sparity)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(LL)\n", + "ax[1].spy(Sparity.dag()*LL*Sparity)\n", + "\n", + "ax[0].set_title(r\"$\\mathcal{L}$\")\n", + "ax[1].set_title(r\"$\\mathcal{P}^\\dagger\\mathcal{L}\\mathcal{P}$\");" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Numebr of blocks: 400\n", + "# of non-zero elements in normal form: 400\n", + "# of non-zero elements in block-diagonal form: 400\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x720 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(10,10))\n", + "ax[0].spy(Sparity)\n", + "ax[0].set_title(\"Normal form\")\n", + "ax[1].spy(bd_Sparity)\n", + "ax[1].set_title(\"Block-diagonal form\");\n", + "print(\"Numebr of blocks:\",num_blocks_Sparity)\n", + "print(\"# of non-zero elements in normal form:\",Sparity.data.count_nonzero())\n", + "print(\"# of non-zero elements in block-diagonal form:\",bd_Sparity.count_nonzero())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Spectrum of $\\mathcal L$\n", + "\n", + "There is a single NESS with positive symmetry. The immediately higher eigenvalue has a vanishing imaginary component as typical in a first order PT." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 1152x360 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(16,5))\n", + "\n", + "tic=time.time()\n", + "style_list=['bo', 'yx']\n", + "parity_list=['same sign (+,+ or --,--)', 'opposite sign (+,-- or --,+)']\n", + "for i in range(int(len(blocks_list_L))):\n", + " block = blocks_list_L[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + " ax[0].plot(-np.real(evals), np.imag(evals), style_list[i], label=parity_list[i])\n", + " ax[1].plot(-np.real(evals), np.imag(evals), style_list[i], label=parity_list[i])\n", + "\n", + "ax[0].set_ylabel(r\"$\\Im(\\lambda)$\")\n", + "ax[0].set_xlabel(r\"$-\\Re(\\lambda)$\")\n", + "ax[0].legend()\n", + "\n", + "ax[1].set_xlabel(r\"$-\\Re(\\lambda)$\")\n", + "ax[1].set_ylabel(r\"$\\Im(\\lambda)$\")\n", + "ax[1].legend()\n", + "\n", + "#ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"symlog\")\n", + "ax[1].axhline(0,c='grey', linestyle='--',alpha=0.5)\n", + "\n", + "#ax[0].set_xlim(-0.25,15)\n", + "ax[0].set_ylim(-300, 300)\n", + "ax[1].set_xlim(-0.25,5)\n", + "ax[1].set_ylim(-300, 300);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Strucutral codes/Liouvillian block diagonalization/Examples/__pycache__/block_diagonalize.cpython-39.pyc b/Strucutral codes/Liouvillian block 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zcU*AO3V2BMjs@B5>DeVct9r0mOR<{w8CdO8+wwlKZIAfS1%|YhJ|82+XSQZE*Su!( zw_v$HU-`u_&X3mXw@iN?)t^l2sN$nX|J$srBIi|0*A%Y)D05$RiV3xvnJCq#Lw!!& a%}GY53A>{{*oq!HkhlIJ1k3%ILH+~iH~g*u literal 0 HcmV?d00001 diff --git a/Strucutral codes/Liouvillian block diagonalization/Examples/block_diagonalize.py b/Strucutral codes/Liouvillian block diagonalization/Examples/block_diagonalize.py new file mode 100644 index 0000000..d597831 --- /dev/null +++ b/Strucutral codes/Liouvillian block diagonalization/Examples/block_diagonalize.py @@ -0,0 +1,251 @@ +from scipy.sparse import csr_matrix +from scipy.sparse import dok_matrix +from scipy.sparse import issparse +import scipy.sparse as spr +import numpy as np +from qutip import * + + +def PermMat(A): + """ + Takes a matrix as input and returns + a permutation matrix that makes it block + diagonal. + + Algorithm is linear in number of elements, + which is good if it is a sparse matrix. + + Parameters + ---------- + array like object : input matrix + (Qobj or array-like) + + Returns + ------- + array like object : permutation matrix + + """ + # number of vertices in graph + n = 0 + + # flag for cheking if input is Qobj + isQobj = False + + # format input for algorithm + # converts everything into DOK sparse + if type(A) is list or type(A) is np.ndarray: + A = dok_matrix(list(A)) + n = A.shape[0] + + elif issparse(A): + A = dok_matrix(csr_matrix(A)) + n = A.shape[0] + + elif type(A) is qutip.qutip.Qobj: + A = dok_matrix(csr_matrix(A.data)) + n = A.shape[0] + isQobj = True + else: + raise RuntimeError("Input should be either an "+ + "array-like object or sparse or Qobj") + + # create adjacency list for graph representation + # of input matrix + # A is dok_matrix + temp_dict = list(A.keys()) + graph = {} + + row_with_elems = [] + col_with_elems = [] + + for i in temp_dict: + row_with_elems.append(i[0]) + col_with_elems.append(i[1]) + if(graph.get(i[0]) != None): + graph[i[0]].append(i[1]) + else: + graph[i[0]] = [] + graph[i[0]].append(i[1]) + if(graph.get(i[1]) != None): + graph[i[1]].append(i[0]) + else: + graph[i[1]] = [] + graph[i[1]].append(i[0]) + + row_with_elems = sorted(list(dict.fromkeys(row_with_elems))) + col_with_elems = sorted(list(dict.fromkeys(col_with_elems))) + + for key in graph.keys(): + graph[key] = sorted(list(dict.fromkeys(graph[key]))) + # print(len(col_with_elems), len(row_with_elems)) + # repeated BFS till all elements have been seen + seen = [False]*n + check = False + block_rows = [] + block_sizes = [] + + # total path after all possible disjoint BFS + net_path = [] + + for i in range(n): + if seen[i] == False: + seen[i] = True + # traversal path for single BFS + # starting from i + bfs_path = [] + # BFS + visited = [False]*n + queue = [] + queue.append(i) + visited[i] = True + while queue: + curr = queue.pop(0) + bfs_path.append(curr) + if graph.get(curr) != None: + for nbr in graph[curr]: + if visited[nbr] == False and seen[nbr] == False: + queue.append(nbr) + seen[nbr] = True + visited[nbr] = True + block_rows.append(bfs_path) + block_sizes.append(len(bfs_path)) + net_path.extend(bfs_path) + # check finds if first BFS covered + # the whole graph + if i == 0: + if len(bfs_path) < n: + check = True + else: + check = False + break + + # checks if connected components are proper subset + # This means a permutation matrix exists + if check == True: + # this means permutation matrix exists + # computes the permutation matrix + p_indices = net_path + rows = range(n) + vals = [1]*n + P = csr_matrix((vals,(rows, p_indices)),shape=(n,n)) + return P, block_rows, block_sizes + else: + # no permutation matrix exists + return None, None, None + + +def get_blocks(A): + """ + Takes a sparse CSR matrix/numpy array as input + and returns number of blocks. + + Algorithm is linear in number of rows, given sparse + representation. (Needs list of nonzero elements.) + + Parameters + ---------- + sparse matrix/numpy array: input matrix + + Returns + ------- + int : number of blocks + list : all of the blocks themselves + list : indices at which the blocks start + + """ + + # total number of rows + n = A.shape[0] + # print(A.nonzero()[1]) + + # makes dict of indices in each row and col + row_idx_dict = {row: [] for row in range(n)} + col_idx_dict = {col: [] for col in range(n)} + + for row, col in zip(*A.nonzero()): + row_idx_dict[row].append(col) + col_idx_dict[col].append(row) + + # number of blocks + block_count = 1 + + # for each row maintain a max_before and min_after dict + max_row_before = {} + max_col_before = {} + min_row_after = {} + min_col_after = {} + + # populates before dicts + max_row = 0 + max_col = 0 + + for i in range(n): + max_row_before[i] = max_row + max_col_before[i] = max_col + if(len(row_idx_dict[i]) != 0): + max_row = max(max_row, row_idx_dict[i][-1]) + else: + max_row = max_row + if(len(col_idx_dict[i]) != 0): + max_col = max(max_col, col_idx_dict[i][-1]) + else: + max_col = max_col + + # populates after dicts + min_row = n-1 + min_col = n-1 + + for i in reversed(range(n)): + min_row_after[i] = min_row + min_col_after[i] = min_col + if(len(row_idx_dict[i]) != 0): + min_row = min(min_row, row_idx_dict[i][0]) + else: + min_row = min_row + if(len(col_idx_dict[i]) != 0): + min_col = min(min_col, col_idx_dict[i][0]) + else: + min_col = min_col + + # stores indices of blocks + block_indices = [] + + # new block begins if + # max before is < + # max after is >= + for i in range(n): + if (i > max_row_before[i] and + i > max_col_before[i] and + i <= min_row_after[i] and + i <= min_col_after[i]): + block_indices.append(i) + block_count += 1 + + # now return as blocks + block_list = [] + + # corner case + if block_count == 1: + block_list = None + + else: + # partitions into actual blocks + lower_x = 0 + upper_x = n + for i in range(block_count): + + # set range for finding block + if i == 0: + upper_x = block_indices[0] + elif i == (block_count-1): + lower_x = upper_x + upper_x = n + else: + lower_x = upper_x + upper_x = block_indices[i] + + block_list.append(A[lower_x:upper_x, lower_x:upper_x]) + + return block_count, block_list, [0]+block_indices + + diff --git a/Strucutral codes/Liouvillian block diagonalization/block_diagonalize.py b/Strucutral codes/Liouvillian block diagonalization/block_diagonalize.py new file mode 100644 index 0000000..d597831 --- /dev/null +++ b/Strucutral codes/Liouvillian block diagonalization/block_diagonalize.py @@ -0,0 +1,251 @@ +from scipy.sparse import csr_matrix +from scipy.sparse import dok_matrix +from scipy.sparse import issparse +import scipy.sparse as spr +import numpy as np +from qutip import * + + +def PermMat(A): + """ + Takes a matrix as input and returns + a permutation matrix that makes it block + diagonal. + + Algorithm is linear in number of elements, + which is good if it is a sparse matrix. + + Parameters + ---------- + array like object : input matrix + (Qobj or array-like) + + Returns + ------- + array like object : permutation matrix + + """ + # number of vertices in graph + n = 0 + + # flag for cheking if input is Qobj + isQobj = False + + # format input for algorithm + # converts everything into DOK sparse + if type(A) is list or type(A) is np.ndarray: + A = dok_matrix(list(A)) + n = A.shape[0] + + elif issparse(A): + A = dok_matrix(csr_matrix(A)) + n = A.shape[0] + + elif type(A) is qutip.qutip.Qobj: + A = dok_matrix(csr_matrix(A.data)) + n = A.shape[0] + isQobj = True + else: + raise RuntimeError("Input should be either an "+ + "array-like object or sparse or Qobj") + + # create adjacency list for graph representation + # of input matrix + # A is dok_matrix + temp_dict = list(A.keys()) + graph = {} + + row_with_elems = [] + col_with_elems = [] + + for i in temp_dict: + row_with_elems.append(i[0]) + col_with_elems.append(i[1]) + if(graph.get(i[0]) != None): + graph[i[0]].append(i[1]) + else: + graph[i[0]] = [] + graph[i[0]].append(i[1]) + if(graph.get(i[1]) != None): + graph[i[1]].append(i[0]) + else: + graph[i[1]] = [] + graph[i[1]].append(i[0]) + + row_with_elems = sorted(list(dict.fromkeys(row_with_elems))) + col_with_elems = sorted(list(dict.fromkeys(col_with_elems))) + + for key in graph.keys(): + graph[key] = sorted(list(dict.fromkeys(graph[key]))) + # print(len(col_with_elems), len(row_with_elems)) + # repeated BFS till all elements have been seen + seen = [False]*n + check = False + block_rows = [] + block_sizes = [] + + # total path after all possible disjoint BFS + net_path = [] + + for i in range(n): + if seen[i] == False: + seen[i] = True + # traversal path for single BFS + # starting from i + bfs_path = [] + # BFS + visited = [False]*n + queue = [] + queue.append(i) + visited[i] = True + while queue: + curr = queue.pop(0) + bfs_path.append(curr) + if graph.get(curr) != None: + for nbr in graph[curr]: + if visited[nbr] == False and seen[nbr] == False: + queue.append(nbr) + seen[nbr] = True + visited[nbr] = True + block_rows.append(bfs_path) + block_sizes.append(len(bfs_path)) + net_path.extend(bfs_path) + # check finds if first BFS covered + # the whole graph + if i == 0: + if len(bfs_path) < n: + check = True + else: + check = False + break + + # checks if connected components are proper subset + # This means a permutation matrix exists + if check == True: + # this means permutation matrix exists + # computes the permutation matrix + p_indices = net_path + rows = range(n) + vals = [1]*n + P = csr_matrix((vals,(rows, p_indices)),shape=(n,n)) + return P, block_rows, block_sizes + else: + # no permutation matrix exists + return None, None, None + + +def get_blocks(A): + """ + Takes a sparse CSR matrix/numpy array as input + and returns number of blocks. + + Algorithm is linear in number of rows, given sparse + representation. (Needs list of nonzero elements.) + + Parameters + ---------- + sparse matrix/numpy array: input matrix + + Returns + ------- + int : number of blocks + list : all of the blocks themselves + list : indices at which the blocks start + + """ + + # total number of rows + n = A.shape[0] + # print(A.nonzero()[1]) + + # makes dict of indices in each row and col + row_idx_dict = {row: [] for row in range(n)} + col_idx_dict = {col: [] for col in range(n)} + + for row, col in zip(*A.nonzero()): + row_idx_dict[row].append(col) + col_idx_dict[col].append(row) + + # number of blocks + block_count = 1 + + # for each row maintain a max_before and min_after dict + max_row_before = {} + max_col_before = {} + min_row_after = {} + min_col_after = {} + + # populates before dicts + max_row = 0 + max_col = 0 + + for i in range(n): + max_row_before[i] = max_row + max_col_before[i] = max_col + if(len(row_idx_dict[i]) != 0): + max_row = max(max_row, row_idx_dict[i][-1]) + else: + max_row = max_row + if(len(col_idx_dict[i]) != 0): + max_col = max(max_col, col_idx_dict[i][-1]) + else: + max_col = max_col + + # populates after dicts + min_row = n-1 + min_col = n-1 + + for i in reversed(range(n)): + min_row_after[i] = min_row + min_col_after[i] = min_col + if(len(row_idx_dict[i]) != 0): + min_row = min(min_row, row_idx_dict[i][0]) + else: + min_row = min_row + if(len(col_idx_dict[i]) != 0): + min_col = min(min_col, col_idx_dict[i][0]) + else: + min_col = min_col + + # stores indices of blocks + block_indices = [] + + # new block begins if + # max before is < + # max after is >= + for i in range(n): + if (i > max_row_before[i] and + i > max_col_before[i] and + i <= min_row_after[i] and + i <= min_col_after[i]): + block_indices.append(i) + block_count += 1 + + # now return as blocks + block_list = [] + + # corner case + if block_count == 1: + block_list = None + + else: + # partitions into actual blocks + lower_x = 0 + upper_x = n + for i in range(block_count): + + # set range for finding block + if i == 0: + upper_x = block_indices[0] + elif i == (block_count-1): + lower_x = upper_x + upper_x = n + else: + lower_x = upper_x + upper_x = block_indices[i] + + block_list.append(A[lower_x:upper_x, lower_x:upper_x]) + + return block_count, block_list, [0]+block_indices + + diff --git a/Tests/Phase diagrams/.DS_Store b/Tests/Phase diagrams/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..f277615a77e0c9f078fbcf63316f7ea767fd6d9d GIT binary patch literal 6148 zcmeHKu}T9$5S=v<f?5P6!SXsgAwQsJIEiH-T1S(J5$|#VO(8airInSny+v%T{RaI6 z3&GA0@XhX^cO=4TAwgzf=Izby-0pjDySGGS>Z4wbs7yp9IAd`EVTy4-`-II&W(jEQ zI|kIDHg%~_hZCbUp$e!1v!(!lyUVmr$26pKN`JpyIzcW*&w$S8G(4)cx^XnL1PbGe zyme6=1f4MMV0>wJ?R}?u`?!_Aw)gAWVL!dzdtUYm1=yEDusNVT>{CrVw<)5L&9MR@ z`WqRh8!r#}E7M%x?y67Ej%&_&qxg&M&#N<hH<>QYgJr|<%y6n)HnY9yb-&(>uVme+ z`t;hSkI2klxwZ??Fw+X)%w{VsI@G8Nr~<0Mrvkh`cyLBvFmY(N4g`Az02Yz9hIW}7 zKu^#YOdO&IW?U)Il^VHX7*~$GC*yp<#GxxEBbN^&GaI>~7&|-O@7dvGe1{rU0aYNY zK*2qh`TXDh{{EjW(kE3w75G;Qm}1Zh>YyZN>jXJIYd!croQ=mN4s8j79LKi7NAW7$ Z8u~nL0DZy4Au=%i5wJ37PzC-}fe(97lZgNT literal 0 HcmV?d00001 diff --git a/Tests/Phase diagrams/.ipynb_checkpoints/PD viewer-checkpoint.ipynb b/Tests/Phase diagrams/.ipynb_checkpoints/PD viewer-checkpoint.ipynb new file mode 100644 index 0000000..cc54fa3 --- /dev/null +++ b/Tests/Phase diagrams/.ipynb_checkpoints/PD viewer-checkpoint.ipynb @@ -0,0 +1,306 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "ed98357b", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import * \n", + "from matplotlib import ticker, cm\n", + "\n", + "import scipy.sparse as spr\n", + "import time\n", + "import os\n", + "import pickle\n", + "import matplotlib.image as mpimg\n", + "\n", + "from matplotlib import animation\n", + "from IPython.display import HTML\n", + "\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "49697982", + "metadata": {}, + "outputs": [], + "source": [ + "def convert(linearized_input, shape):\n", + " return np.asarray(linearized_input).reshape(shape).transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a5e11bbf", + "metadata": {}, + "outputs": [], + "source": [ + "N=15\n", + "Δ = 10\n", + "with open(\"UG_scan.pckl\", \"rb\") as fp:\n", + " Grange, Utilderange, results = pickle.load(fp)\n", + "\n", + "num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even = list(list(zip(*results)))\n", + "num_even = convert(num_even,(Grange.size,Utilderange.size))\n", + "num_odd = convert(num_odd, (Grange.size, Utilderange.size))\n", + "gap_even = convert(gap_even, (Grange.size, Utilderange.size))\n", + "gap_odd = convert(gap_odd, (Grange.size, Utilderange.size))\n", + "gap_even_odd = convert(gap_even_odd, (Grange.size, Utilderange.size))\n", + "gap_odd_even = convert(gap_odd_even, (Grange.size, Utilderange.size))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6af8f11b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 1080x648 with 8 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(2,2, figsize=(15,9))\n", + "\n", + "ax[0,0].set_title(\"EVEN\")\n", + "im0 = ax[0,0].pcolormesh(Grange, Utilderange, num_even/N, shading='gouraud', cmap=greiner)\n", + "fig.colorbar(im0, ax=ax[0,0], label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0,0].axhline(Δ, ls='--',lw=2, c='orange')\n", + "\n", + "#ax[0,0].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[0,0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "im1 = ax[1,0].pcolormesh(Grange, Utilderange, np.gradient(num_even/N, axis=1), shading='auto', cmap=greiner)\n", + "fig.colorbar(im1, ax=ax[1,0], label=r\"$\\partial_G\\,\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[1,0].axhline(Δ, ls='--', lw=2, c='orange')\n", + "#ax[1,0].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[1,0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "\n", + "\n", + "ax[0,1].set_title(\"ODD\")\n", + "im2 = ax[0,1].pcolormesh(Grange, Utilderange, num_odd/N, shading='gouraud', cmap=greiner)\n", + "fig.colorbar(im2, ax=ax[0,1], label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0,1].axhline(Δ, ls='--',lw=2, c='orange')\n", + "\n", + "ax[1,0].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[1,0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "\n", + "im3 = ax[1,1].pcolormesh(Grange, Utilderange, np.gradient(num_odd/N, axis=1), shading='auto', cmap=greiner)\n", + "fig.colorbar(im3, ax=ax[1,1], label=r\"$\\partial_G\\,\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[1,1].axhline(Δ, ls='--', lw=2, c='orange')\n", + "ax[1,1].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[1,1].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\");\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"UGPD_n_evenodd.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1349d2a5", + "metadata": {}, + "outputs": [], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(13,5), gridspec_kw={'width_ratios': [1.25, 1]})\n", + "ax1, ax2 = ax[0], ax[1]\n", + "\n", + "# set up the subplots as needed\n", + "im = ax1.pcolormesh(Grange, Utilderange, num_even/N, shading='gouraud', cmap=greiner)\n", + "fig.colorbar(im, ax=ax1, label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax1.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax1.axhline(Δ, ls=':', lw=3, c='orange')\n", + "\n", + "ax2.set_xlim(0,14)\n", + "ax2.set_ylim(-0.05,2.5)\n", + "ax2.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax2.set_ylabel(r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "\n", + "line1, = ax1.plot([], [], ls='-.', c='cyan', lw=2)\n", + "line2, = ax2.plot([], [], ls='-', c='b', lw=2)\n", + "line3, = ax2.plot([], [], ls='--', c='r', lw=2)\n", + "\n", + "def drawframe(n):\n", + " line1.set_data(Grange, np.ones(Grange.size)*Utilderange[n])\n", + " line2.set_data(Grange, num_even[n,:]/N)\n", + " line3.set_data(Grange, num_odd[n,:]/N)\n", + " return (line1, line2, line3)\n", + "\n", + "anim = animation.FuncAnimation(fig, drawframe, frames=Utilderange.size, interval=200, blit=True)\n", + "\n", + "fig.tight_layout()\n", + "plt.close(anim._fig)\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('UGPD_n.gif',dpi=100);\n", + "#HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75de02b9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1dbe8dec", + "metadata": {}, + "outputs": [], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(13,5), gridspec_kw={'width_ratios': [1.25, 1]})\n", + "ax1, ax2 = ax[0], ax[1]\n", + "\n", + "# set up the subplots as needed\n", + "toplot = np.abs(np.real(gap_even))\n", + "norm = colors.LogNorm(vmin=toplot.min(), vmax=toplot.max())\n", + "im = ax1.pcolormesh(Grange, Utilderange, toplot, shading='gouraud', cmap=greiner, norm=norm)\n", + "#ax1.contour(Grange, Utilderange, toplot, 10, locator=ticker.LogLocator(), colors='k', alpha=0.3)#, levels=contours)\n", + "fig.colorbar(im, ax=ax1, label=r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax1.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax1.axhline(Δ, ls=':', lw=3, c='orange')\n", + "\n", + "ax2.set_xlim(-0.25,14)\n", + "ax2.set_ylim(toplot.min(), toplot.max()*1.2)\n", + "ax2.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax2.set_ylabel(r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax2.set_yscale(\"log\")\n", + "\n", + "line1, = ax1.plot([], [], ls='-.', c='cyan', lw=2)\n", + "line2, = ax2.plot([], [], ls='-', c='b', lw=2)\n", + "line3, = ax2.plot([], [], ls='--', c='r', lw=2)\n", + "\n", + "def drawframe(n):\n", + " line1.set_data(Grange, np.ones(Grange.size)*Utilderange[n])\n", + " line2.set_data(Grange, np.abs(np.real(gap_even[n,:])))\n", + " line3.set_data(Grange, np.abs(np.real(gap_odd[n,:])))\n", + " return (line1, line2, line3)\n", + "\n", + "anim = animation.FuncAnimation(fig, drawframe, frames=Utilderange.size, interval=200, blit=True)\n", + "\n", + "fig.tight_layout()\n", + "plt.close(anim._fig)\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('UGPD_gap.gif',dpi=100);\n", + "HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "76b5d53e", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "847bc2e6", + "metadata": {}, + "outputs": [], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(13,5), gridspec_kw={'width_ratios': [1.25, 1]})\n", + "ax1, ax2 = ax[0], ax[1]\n", + "\n", + "# set up the subplots as needed\n", + "toplot = np.abs(np.real(gap_even_odd))\n", + "norm = colors.LogNorm(vmin=toplot[:,1:].min(), vmax=toplot.max())\n", + "im = ax1.pcolormesh(Grange, Utilderange, toplot, shading='gouraud', cmap=greiner, norm=norm)\n", + "#ax1.contour(Grange, Utilderange, toplot, 10, locator=ticker.LogLocator(), colors='k', alpha=0.3)#, levels=contours)\n", + "fig.colorbar(im, ax=ax1, label=r\"??\")\n", + "ax1.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax1.axhline(Δ, ls=':', lw=3, c='orange')\n", + "\n", + "ax2.set_xlim(-0.25,14)\n", + "ax2.set_ylim(toplot[:,1:].min(), toplot.max()*1.2)\n", + "ax2.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax2.set_ylabel(\"??\")\n", + "ax2.set_yscale(\"log\")\n", + "\n", + "line1, = ax1.plot([], [], ls='-.', c='cyan', lw=2)\n", + "line2, = ax2.plot([], [], ls='-', c='b', lw=2)\n", + "line3, = ax2.plot([], [], ls='--', c='r', lw=2)\n", + "\n", + "def drawframe(n):\n", + " line1.set_data(Grange, np.ones(Grange.size)*Utilderange[n])\n", + " line2.set_data(Grange[1:], np.abs(np.real(gap_even_odd[n,1:])))\n", + " line3.set_data(Grange[1:], np.abs(np.real(gap_odd_even[n,1:])))\n", + " return (line1, line2, line3)\n", + "\n", + "anim = animation.FuncAnimation(fig, drawframe, frames=Utilderange.size, interval=200, blit=True)\n", + "\n", + "fig.tight_layout()\n", + "plt.close(anim._fig)\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('UGPD_boh.gif',dpi=100);\n", + "HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "080cd7af", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e42d4480", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG.py b/Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG.py new file mode 100644 index 0000000..6a87620 --- /dev/null +++ b/Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG.py @@ -0,0 +1,86 @@ +import numpy as np +import matplotlib.pyplot as plt +from qutip import * + +import scipy.sparse as spr +import block_diagonalize +import itertools +import multiprocessing as mp +import time +import os +import pickle + + +def run_fun(params): + G = params[0] + Δ = params[1] + Utilde = params[2] + U = Utilde/N + + H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2 + LL = liouvillian(H, c_ops) + + P, block_bfs, block_sizes = block_diagonalize.PermMat(LL) + bd_L = np.dot(P, np.dot(LL.data, np.transpose(P))) + num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) + + done=False + for i in range(int(len(blocks_list))): + block = blocks_list[i] + evals, evecs = Qobj(block).eigenstates() + + ss_block_form = evecs[-1] + evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex) + evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data + evec2 = evec2.tocsr() + evec2 = np.dot(np.transpose(P),evec2) + ss = Qobj(evec2, dims=[LL.dims[0], [1]]) + ss = vector_to_operator(ss) + + if np.real(ss.tr())>0.05: + ss=ss+ss.dag() + ss/=(ss.tr()) + if expect(parity, ss)>0.5: + num_even = expect(ss, a.dag()*a) + gap_even = evals[-2] + else: + num_odd = expect(ss, a.dag()*a) + gap_odd = evals[-2] + elif done==False: + gap_even_odd = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1])) + gap_odd_even = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) + done=True + + return [num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even] + + +if __name__=="__main__": + a=destroy(50) + + parity=1.j*np.pi*a.dag()*a + parity=parity.expm() + + ηtilde = 1 + Utilderange = np.linspace(0,20,81) + Δrange = np.linspace(0,20,80) + Grange = np.linspace(0,14,20, retstep=True) + paramlist = list(itertools.product(Grange, Δrange, Utilderange)) + + Δ = 10 + N = 15 + η = ηtilde/N + c_ops=[np.sqrt(η)*a**2] + + #perform parallel evaluation + t1 = time.time() + pool = mp.Pool() + results = pool.map(run_fun,paramlist) + print(time.time()-t1) + + with open("DeltaU_multiG_scan.pckl", "wb") as fp: + pickle.dump([Grange, Δrange, Utilderange, results], fp) + + + + + \ No newline at end of file diff --git a/Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG_viewer.ipynb b/Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG_viewer.ipynb new file mode 100644 index 0000000..2dbec3c --- /dev/null +++ b/Tests/Phase diagrams/DeltaU_PD_multipleG/DeltaU_PD_multiG_viewer.ipynb @@ -0,0 +1,166 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from matplotlib import pyplot as plt, animation\n", + "from qutip import * \n", + "from matplotlib import ticker, cm\n", + "\n", + "import scipy.sparse as spr\n", + "import time\n", + "import os\n", + "import pickle\n", + "\n", + "from IPython.display import HTML, Image\n", + "\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "def convert(linearized_input, shape):\n", + " return np.asarray(linearized_input).reshape(shape).transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "ηtilde = 1\n", + "Δ = 10\n", + "N = 15\n", + "η = ηtilde/N" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "with open(\"DeltaU_multiG_scan.pckl\", \"rb\") as fp:\n", + " Grange, Δrange, Utilderange, results = pickle.load(fp)\n", + "\n", + "num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even = list(list(zip(*results)))\n", + "num_even = convert(num_even,(Grange.size,Δrange.size, Utilderange.size))\n", + "num_odd = convert(num_odd, (Grange.size, Δrange.size, Utilderange.size))\n", + "gap_even = convert(gap_even, (Grange.size, Δrange.size, Utilderange.size))\n", + "gap_odd = convert(gap_odd, (Grange.size, Δrange.size, Utilderange.size))\n", + "gap_even_odd = convert(gap_even_odd, (Grange.size, Δrange.size, Utilderange.size))\n", + "gap_odd_even = convert(gap_odd_even, (Grange.size, Δrange.size, Utilderange.size))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING:matplotlib.animation:MovieWriter ffmpeg unavailable; using Pillow instead.\n" + ] + }, + { + "data": { + "image/gif": 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+ "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "execution_count": 5, + "metadata": { + "image/gif": { + "width": 600 + } + }, + "output_type": "execute_result" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "cax = ax.pcolormesh(Δrange, Utilderange, num_even[:,:,0]/N, vmin=0, vmax=num_even.max()/N,\n", + " shading='gouraud', cmap=greiner)\n", + "fig.colorbar(cax, label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax.set_xlabel(r\"$\\Delta$\")\n", + "ax.set_ylabel(r\"$\\tilde U$\")\n", + "\n", + "\n", + "def animate(i):\n", + " cax.set_array(num_even[:,:,i].flatten()/N)\n", + " ax.set_title(r\"$G = %.2f$\"%Grange[i])\n", + "\n", + "anim = animation.FuncAnimation(fig, animate, interval=900, frames=Grange.size-1)\n", + "anim.save('DeltaU_multiG_scan.gif', dpi=500)\n", + "plt.close()\n", + "Image('DeltaU_multiG_scan.gif', width=600)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, 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file mode 100644 index 0000000..dda6dd8 --- /dev/null +++ b/Tests/Phase diagrams/GDelta_PD.py @@ -0,0 +1,84 @@ +import numpy as np +import pickle +import multiprocessing as mp +import matplotlib.pyplot as plt +from qutip import * + +import scipy.sparse as spr +import block_diagonalize +import time + +def run_fun(Delta): + Grange = np.geomspace(0.05, 50, 51)*Delta + c_ops = [np.sqrt(eta)*a**2]#, np.sqrt(beta)*a.dag()*a] + + num_even = np.zeros(Grange.size) + num_odd = np.zeros(Grange.size) + gap_even = np.zeros(Grange.size, dtype='complex') + gap_odd = np.zeros(Grange.size, dtype='complex') + gap_even_odd = np.zeros(Grange.size, dtype='complex') + gap_odd_even = np.zeros(Grange.size, dtype='complex') + + for g in range(Grange.size): + H = -Delta*a.dag()*a + Grange[g]/2 *(a.dag()**2 +a**2) +U/2 *a.dag()**2*a**2 + LL = liouvillian(H, c_ops) + + P, block_bfs, block_sizes = block_diagonalize.PermMat(LL) + bd_L = np.dot(P, np.dot(LL.data, np.transpose(P))) + num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) + + done=False + for i in range(int(len(blocks_list))): + block = blocks_list[i] + evals, evecs = Qobj(block).eigenstates() + + ss_block_form=evecs[-1] + evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex) + evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data + evec2 = evec2.tocsr() + evec2=np.dot(np.transpose(P),evec2) + ss= Qobj(evec2, dims=[LL.dims[0], [1]]) + ss=vector_to_operator(ss) + if ss.tr()>0.05: + ss=ss+ss.dag() + ss/=(ss.tr()) + if expect(parity, ss)>0.5: + num_even[g] = expect(ss, a.dag()*a) + gap_even[g] = evals[-2] + else: + num_odd[g] = expect(ss, a.dag()*a) + gap_odd[g] = evals[-2] + elif done==False: + gap_even_odd[g] = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1])) + gap_odd_even[g] = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) + done=True + + return [Grange, num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even] + + +if __name__=="__main__": + #Setup + a=destroy(21) + + parity=1.j*np.pi*a.dag()*a + parity=parity.expm() + + U = 1 + eta = 1 + + NCPU = mp.cpu_count() + Deltarange = np.geomspace(0.01, 100, NCPU) + + #perform parallel evaluation + t1 = time.time() + pool = mp.Pool(NCPU) + results = pool.map(run_fun,Deltarange) + print(time.time()-t1) + + with open("GoverDelta_scan.pckl", "wb") as fp: + pickle.dump([Deltarange, results], fp) + + + + + \ No newline at end of file diff --git a/Tests/Phase diagrams/GoverDelta_scan.pckl b/Tests/Phase diagrams/GoverDelta_scan.pckl new file mode 100644 index 0000000000000000000000000000000000000000..8dacdae2128c13db82fde21ed348ba89b83dfc0b GIT binary patch literal 79771 zcmZ^rc|26@|Nre{&l)0Gvs6MViMb}yW{FXjWXV!W$p|4Ll%!-|DqDrL*w--ENTpJQ z3MEVSeUK%@?>hIVPv6h?{663QxZn5lzRnCY*Lj{E^SWPWf|zY642q6!Ugz9>RUFTI zIIEoVI_r7*gonooUrsv@XUFqy7d$<@96dQHjQ=`{)6MB$s}v>!hN~22Jw^u#OBjWf zOkq<rU^L*nN+J9?(8<%+-I<fZZpp;Jz;IHN!V!KwjKWE#a48xvTQZ{mrcL2CHa0%A 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0000000..f403a1b --- /dev/null +++ b/Tests/Phase diagrams/UG_PD/UG_PD.py @@ -0,0 +1,85 @@ +import numpy as np +import matplotlib.pyplot as plt +from qutip import * + +import scipy.sparse as spr +import block_diagonalize +import itertools +import multiprocessing as mp +import time +import os +import pickle + + +def run_fun(params): + G = params[0] + Utilde = params[1] + U = Utilde/N + + H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2 + LL = liouvillian(H, c_ops) + + P, block_bfs, block_sizes = block_diagonalize.PermMat(LL) + bd_L = np.dot(P, np.dot(LL.data, np.transpose(P))) + num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) + + done=False + for i in range(int(len(blocks_list))): + block = blocks_list[i] + evals, evecs = Qobj(block).eigenstates() + + ss_block_form = evecs[-1] + evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex) + evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data + evec2 = evec2.tocsr() + evec2 = np.dot(np.transpose(P),evec2) + ss= Qobj(evec2, dims=[LL.dims[0], [1]]) + ss=vector_to_operator(ss) + + if np.real(ss.tr())>0.05: + ss=ss+ss.dag() + ss/=(ss.tr()) + if expect(parity, ss)>0.5: + num_even = expect(ss, a.dag()*a) + gap_even = evals[-2] + else: + num_odd = expect(ss, a.dag()*a) + gap_odd = evals[-2] + elif done==False: + gap_even_odd = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1])) + gap_odd_even = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) + done=True + + return [num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even] + + +if __name__=="__main__": + a=destroy(50) + + parity=1.j*np.pi*a.dag()*a + parity=parity.expm() + + ηtilde = 1 + Utilderange = np.linspace(0,20,80) + Grange, dG = np.linspace(0,14,80, retstep=True) + paramlist = list(itertools.product(Grange,Utilderange)) + + Δ = 10 + N = 15 + η = ηtilde/N + c_ops=[np.sqrt(η)*a**2] + + NCPU = mp.cpu_count() + #perform parallel evaluation + t1 = time.time() + pool = mp.Pool(NCPU) + results = pool.map(run_fun,paramlist) + print(time.time()-t1) + + with open("UG_scan.pckl", "wb") as fp: + pickle.dump([Grange, Utilderange, results], fp) + + + + + \ No newline at end of file diff --git a/Tests/Phase diagrams/UG_PD/UG_PD_viewer.ipynb b/Tests/Phase diagrams/UG_PD/UG_PD_viewer.ipynb new file mode 100644 index 0000000..079cc0f --- /dev/null +++ b/Tests/Phase diagrams/UG_PD/UG_PD_viewer.ipynb @@ -0,0 +1,306 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "ed98357b", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import * \n", + "from matplotlib import ticker, cm\n", + "\n", + "import scipy.sparse as spr\n", + "import time\n", + "import os\n", + "import pickle\n", + "import matplotlib.image as mpimg\n", + "\n", + "from matplotlib import animation\n", + "from IPython.display import HTML\n", + "\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "49697982", + "metadata": {}, + "outputs": [], + "source": [ + "def convert(linearized_input, shape):\n", + " return np.asarray(linearized_input).reshape(shape).transpose()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a5e11bbf", + "metadata": {}, + "outputs": [], + "source": [ + "N=15\n", + "Δ = 10\n", + "with open(\"UG_scan.pckl\", \"rb\") as fp:\n", + " Grange, Utilderange, results = pickle.load(fp)\n", + "\n", + "num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even = list(list(zip(*results)))\n", + "num_even = convert(num_even,(Grange.size,Utilderange.size))\n", + "num_odd = convert(num_odd, (Grange.size, Utilderange.size))\n", + "gap_even = convert(gap_even, (Grange.size, Utilderange.size))\n", + "gap_odd = convert(gap_odd, (Grange.size, Utilderange.size))\n", + "gap_even_odd = convert(gap_even_odd, (Grange.size, Utilderange.size))\n", + "gap_odd_even = convert(gap_odd_even, (Grange.size, Utilderange.size))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "6af8f11b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 1080x648 with 8 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,ax = plt.subplots(2,2, figsize=(15,9))\n", + "\n", + "ax[0,0].set_title(\"EVEN\")\n", + "im0 = ax[0,0].pcolormesh(Grange, Utilderange, num_even/N, shading='gouraud', cmap=greiner)\n", + "fig.colorbar(im0, ax=ax[0,0], label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0,0].axhline(Δ, ls='--',lw=2, c='orange')\n", + "\n", + "#ax[0,0].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[0,0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "im1 = ax[1,0].pcolormesh(Grange, Utilderange, np.gradient(num_even/N, axis=1), shading='auto', cmap=greiner)\n", + "fig.colorbar(im1, ax=ax[1,0], label=r\"$\\partial_G\\,\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[1,0].axhline(Δ, ls='--', lw=2, c='orange')\n", + "#ax[1,0].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[1,0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "\n", + "\n", + "ax[0,1].set_title(\"ODD\")\n", + "im2 = ax[0,1].pcolormesh(Grange, Utilderange, num_odd/N, shading='gouraud', cmap=greiner)\n", + "fig.colorbar(im2, ax=ax[0,1], label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0,1].axhline(Δ, ls='--',lw=2, c='orange')\n", + "\n", + "ax[1,0].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[1,0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "\n", + "im3 = ax[1,1].pcolormesh(Grange, Utilderange, np.gradient(num_odd/N, axis=1), shading='auto', cmap=greiner)\n", + "fig.colorbar(im3, ax=ax[1,1], label=r\"$\\partial_G\\,\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[1,1].axhline(Δ, ls='--', lw=2, c='orange')\n", + "ax[1,1].set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax[1,1].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\");\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"UGPD_n_evenodd.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "1349d2a5", + "metadata": {}, + "outputs": [], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(13,5), gridspec_kw={'width_ratios': [1.25, 1]})\n", + "ax1, ax2 = ax[0], ax[1]\n", + "\n", + "# set up the subplots as needed\n", + "im = ax1.pcolormesh(Grange, Utilderange, num_even/N, shading='gouraud', cmap=greiner)\n", + "fig.colorbar(im, ax=ax1, label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax1.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax1.axhline(Δ, ls=':', lw=3, c='orange')\n", + "\n", + "ax2.set_xlim(0,14)\n", + "ax2.set_ylim(-0.05,2.5)\n", + "ax2.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax2.set_ylabel(r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "\n", + "line1, = ax1.plot([], [], ls='-.', c='cyan', lw=2)\n", + "line2, = ax2.plot([], [], ls='-', c='b', lw=2)\n", + "line3, = ax2.plot([], [], ls='--', c='r', lw=2)\n", + "\n", + "def drawframe(n):\n", + " line1.set_data(Grange, np.ones(Grange.size)*Utilderange[n])\n", + " line2.set_data(Grange, num_even[n,:]/N)\n", + " line3.set_data(Grange, num_odd[n,:]/N)\n", + " return (line1, line2, line3)\n", + "\n", + "anim = animation.FuncAnimation(fig, drawframe, frames=Utilderange.size, interval=200, blit=True)\n", + "\n", + "fig.tight_layout()\n", + "plt.close(anim._fig)\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('UGPD_n.gif',dpi=100);\n", + "#HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75de02b9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1dbe8dec", + "metadata": {}, + "outputs": [], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(13,5), gridspec_kw={'width_ratios': [1.25, 1]})\n", + "ax1, ax2 = ax[0], ax[1]\n", + "\n", + "# set up the subplots as needed\n", + "toplot = np.abs(np.real(gap_even))\n", + "norm = colors.LogNorm(vmin=toplot.min(), vmax=toplot.max())\n", + "im = ax1.pcolormesh(Grange, Utilderange, toplot, shading='gouraud', cmap=greiner, norm=norm)\n", + "#ax1.contour(Grange, Utilderange, toplot, 10, locator=ticker.LogLocator(), colors='k', alpha=0.3)#, levels=contours)\n", + "fig.colorbar(im, ax=ax1, label=r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax1.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax1.axhline(Δ, ls=':', lw=3, c='orange')\n", + "\n", + "ax2.set_xlim(-0.25,14)\n", + "ax2.set_ylim(toplot.min(), toplot.max()*1.2)\n", + "ax2.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax2.set_ylabel(r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax2.set_yscale(\"log\")\n", + "\n", + "line1, = ax1.plot([], [], ls='-.', c='cyan', lw=2)\n", + "line2, = ax2.plot([], [], ls='-', c='b', lw=2)\n", + "line3, = ax2.plot([], [], ls='--', c='r', lw=2)\n", + "\n", + "def drawframe(n):\n", + " line1.set_data(Grange, np.ones(Grange.size)*Utilderange[n])\n", + " line2.set_data(Grange, np.abs(np.real(gap_even[n,:])))\n", + " line3.set_data(Grange, np.abs(np.real(gap_odd[n,:])))\n", + " return (line1, line2, line3)\n", + "\n", + "anim = animation.FuncAnimation(fig, drawframe, frames=Utilderange.size, interval=200, blit=True)\n", + "\n", + "fig.tight_layout()\n", + "plt.close(anim._fig)\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('UGPD_gap.gif',dpi=100);\n", + "HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "76b5d53e", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "847bc2e6", + "metadata": {}, + "outputs": [], + "source": [ + "fig,ax = plt.subplots(1,2,figsize=(13,5), gridspec_kw={'width_ratios': [1.25, 1]})\n", + "ax1, ax2 = ax[0], ax[1]\n", + "\n", + "# set up the subplots as needed\n", + "toplot = np.abs(np.real(gap_even_odd))\n", + "norm = colors.LogNorm(vmin=toplot[:,1:].min(), vmax=toplot.max())\n", + "im = ax1.pcolormesh(Grange, Utilderange, toplot, shading='gouraud', cmap=greiner, norm=norm)\n", + "#ax1.contour(Grange, Utilderange, toplot, 10, locator=ticker.LogLocator(), colors='k', alpha=0.3)#, levels=contours)\n", + "fig.colorbar(im, ax=ax1, label=r\"??\")\n", + "ax1.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax1.axhline(Δ, ls=':', lw=3, c='orange')\n", + "\n", + "ax2.set_xlim(-0.25,14)\n", + "ax2.set_ylim(toplot[:,1:].min(), toplot.max()*1.2)\n", + "ax2.set_xlabel(r\"$G$ [$\\tilde\\eta$]\")\n", + "ax2.set_ylabel(\"??\")\n", + "ax2.set_yscale(\"log\")\n", + "\n", + "line1, = ax1.plot([], [], ls='-.', c='cyan', lw=2)\n", + "line2, = ax2.plot([], [], ls='-', c='b', lw=2)\n", + "line3, = ax2.plot([], [], ls='--', c='r', lw=2)\n", + "\n", + "def drawframe(n):\n", + " line1.set_data(Grange, np.ones(Grange.size)*Utilderange[n])\n", + " line2.set_data(Grange[1:], np.abs(np.real(gap_even_odd[n,1:])))\n", + " line3.set_data(Grange[1:], np.abs(np.real(gap_odd_even[n,1:])))\n", + " return (line1, line2, line3)\n", + "\n", + "anim = animation.FuncAnimation(fig, drawframe, frames=Utilderange.size, interval=200, blit=True)\n", + "\n", + "fig.tight_layout()\n", + "plt.close(anim._fig)\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('UGPD_boh.gif',dpi=100);\n", + "HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "080cd7af", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e42d4480", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Tests/Phase diagrams/UG_PD/UG_scan.pckl b/Tests/Phase diagrams/UG_PD/UG_scan.pckl new file mode 100644 index 0000000000000000000000000000000000000000..0165381dbbe1aab0f2ba89a3a76c92357665b614 GIT binary patch literal 1165685 zcma&vby!qu`~Lq?0SOf>!~_);!NSI3?5?pDJ2B9;Y_Vf7Ft&}2-HM80%`6-2?!Z<A z1v^lG=Y6jEuIKoDa2*HxkL!N+!)sr>Sq^L$GP5UV>M9w0dWVc0GHh&_-b3ZSWrmC# zJR-QKEcYDi++FV5duYh;5%S31Bb=oSs&WqLqrO$j*wipX%2YQ)FUc-UvNuT%K20+; zZ8by6Y=eD9j2+h3S#s={(O@w2t13Coni(cJn<N*XrkOfs!2ef6%F?1miza{Z7e`aW z2q|l?S#>6hf57%vx6&aeQ+J;YRL|Ri4(qS~S2NR7+uy$mJQ(Bj>1gLf+y9>uxUavL zZ^3(?Y;XS>=!~~Moc_b+QUiNV>@a6#xxY4_!HBnYEgh24sQz=Aj5C`w{F<eny-|IC z4#tXZOXel!bu_AboQ(0eo)y3N!P%(3-z-Kfv+g*P)u`@uHLenW+uY5lc4jw9IbV&A zj>&F&KRJwI`=+8fZSOCqvEaQ5cn`U3?>Dzm&CP9l|L(@PHB+{Z=#$6R;bB}W{`QK8 zttYQ>WS=X>w$<|4y7C#D@*U*2^%XFRt5LzNpsll@k?%gVkgeC#c=5wPBzoGqy^O8j 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+ " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "d7b44795", + "metadata": {}, + "outputs": [], + "source": [ + "Nfock = 30\n", + "a=destroy(Nfock)\n", + "\n", + "ηtilde = 1\n", + "Utilde = 10\n", + "\n", + "Δ = 10\n", + "N = 10\n", + "η = ηtilde/N\n", + "U = Utilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]\n", + "\n", + "parity = 1.j*np.pi*a.dag()*a\n", + "parity = parity.expm()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "cd43d75f", + "metadata": {}, + "outputs": [], + "source": [ + "G = 1.3\n", + "H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + "LL = liouvillian(H, c_ops)\n", + "\n", + "t = np.linspace(0,5e2,10000)*η\n", + "\n", + "Ï0 = fock_dm(Nfock,n=0)\n", + "Ï1 = fock_dm(Nfock,n=1)\n", + "e_ops = [a.dag()*a, parity]\n", + "\n", + "result0 = mesolve(H, rho0=Ï0, tlist=t, c_ops=c_ops, e_ops=e_ops)\n", + "result1 = mesolve(H, rho0=Ï1, tlist=t, c_ops=c_ops, e_ops=e_ops)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "9c401f07", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 936x360 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,[ax1,ax3] = plt.subplots(1,2, figsize=(13,5))\n", + "fig.suptitle(r\"$G<G_c$\", fontsize=16)\n", + "\n", + "\n", + "#=== n=0 ===\n", + "\n", + "n = result0.expect[0]\n", + "p = result0.expect[1]\n", + "\n", + "im1 = ax1.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax1.set_xscale(\"log\")\n", + "ax1.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax1.set_title(r\"$\\rho_0=|0\\rangle\\langle0|$\", fontsize=14)\n", + "ax1.set_ylim(-1, 21)\n", + "\n", + "ax2 = ax1.twinx()\n", + "im2 = ax2.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax2.set_ylabel(r\"$p$\")\n", + "ax2.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "\n", + "\n", + "#=== n=1 ===\n", + "\n", + "n = result1.expect[0]\n", + "p = result1.expect[1]\n", + "\n", + "im1 = ax3.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax3.set_xscale(\"log\")\n", + "ax3.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax3.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax3.set_title(r\"$\\rho_0=|1\\rangle\\langle1|$\", fontsize=14)\n", + "ax3.set_ylim(-1, 21)\n", + "\n", + "ax4 = ax3.twinx()\n", + "im2 = ax4.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax4.set_ylabel(r\"$p$\")\n", + "ax4.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"evolve_below.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ef890ca8", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "abfa49b7", + "metadata": {}, + "outputs": [], + "source": [ + "G = 10\n", + "H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + "LL = liouvillian(H, c_ops)\n", + "\n", + "t = np.linspace(0,5e2,10000)*η\n", + "\n", + "Ï0 = fock_dm(Nfock,n=0)\n", + "Ï1 = fock_dm(Nfock,n=1)\n", + "e_ops = [a.dag()*a, parity]\n", + "\n", + "result0 = mesolve(H, rho0=Ï0, tlist=t, c_ops=c_ops, e_ops=e_ops)\n", + "result1 = mesolve(H, rho0=Ï1, tlist=t, c_ops=c_ops, e_ops=e_ops)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d2e20260", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 936x360 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,[ax1,ax3] = plt.subplots(1,2, figsize=(13,5))\n", + "fig.suptitle(r\"$G>G_c$\", fontsize=16)\n", + "\n", + "\n", + "#=== n=0 ===\n", + "\n", + "n = result0.expect[0]\n", + "p = result0.expect[1]\n", + "\n", + "im1 = ax1.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax1.set_xscale(\"log\")\n", + "ax1.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax1.set_title(r\"$\\rho_0=|0\\rangle\\langle0|$\", fontsize=14)\n", + "ax1.set_ylim(-1, 21)\n", + "\n", + "ax2 = ax1.twinx()\n", + "im2 = ax2.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax2.set_ylabel(r\"$p$\")\n", + "ax2.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "\n", + "\n", + "#=== n=1 ===\n", + "\n", + "n = result1.expect[0]\n", + "p = result1.expect[1]\n", + "\n", + "im1 = ax3.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax3.set_xscale(\"log\")\n", + "ax3.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax3.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax3.set_title(r\"$\\rho_0=|1\\rangle\\langle1|$\", fontsize=14)\n", + "ax3.set_ylim(-1, 21)\n", + "\n", + "ax4 = ax3.twinx()\n", + "im2 = ax4.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax4.set_ylabel(r\"$p$\")\n", + "ax4.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"evolve_above.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e3d7b5e0", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75281e4c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "a8a36bc2", + "metadata": {}, + "outputs": [], + "source": [ + "Nfock = 50\n", + "a=destroy(Nfock)\n", + "\n", + "ηtilde = 1\n", + "Utilde = 10\n", + "\n", + "Δ = 10\n", + "N = 10\n", + "η = ηtilde/N\n", + "U = Utilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]\n", + "\n", + "parity = 1.j*np.pi*a.dag()*a\n", + "parity = parity.expm()\n", + "\n", + "\n", + "H0 = -Δ*a.dag()*a + U/2*a.dag()**2*a**2\n", + "H1 = 1/2*(a.dag()**2 +a**2)\n", + "\n", + "def G(t,args):\n", + " tf = args['tfinal']\n", + " Gf = args['Gfinal']\n", + " return Gf*t**3/tf**3\n", + "\n", + "H = [H0,[H1, G]]\n", + "\n", + "tf = t.max()\n", + "Gf = 14\n", + "\n", + "Ï0 = fock_dm(Nfock,n=0)\n", + "e_ops = [a.dag()*a, parity]\n", + "\n", + "result0 = mesolve(H, rho0=Ï0, tlist=t, c_ops=c_ops, e_ops=e_ops, args={'tfinal': tf, 'Gfinal' : Gf})\n", + "\n", + "Ï1 = fock_dm(Nfock,n=1)\n", + "result1 = mesolve(H, rho0=Ï1, tlist=t, c_ops=c_ops, e_ops=e_ops, args={'tfinal': tf, 'Gfinal' : Gf})" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "79022cb2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x360 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,[ax1,ax3] = plt.subplots(1,2, figsize=(12,5))\n", + "fig.suptitle(r\"Adiabatically vary $G$ across $G_c$\", fontsize=16)\n", + "\n", + "n0 = result0.expect[0]\n", + "p0 = result0.expect[1]\n", + "n1 = result1.expect[0]\n", + "p1 = result1.expect[1]\n", + "G_t = G(t,args={'tfinal': tf, 'Gfinal' : Gf})\n", + "\n", + "im1 = ax1.plot(G_t, n0, '-', label=r\"$\\langle\\hat{n}\\rangle$ ($\\rho_0=|0\\rangle\\langle0|$)\", c='tab:blue')\n", + "im2 = ax1.plot(G_t, n1, '-', label=r\"$\\langle\\hat{n}\\rangle$ ($\\rho_0=|1\\rangle\\langle1|$)\", c='tab:red')\n", + "#ax1.set_xscale(\"log\")\n", + "\n", + "ax1.set_xlabel(r\"$G(t)\\,/\\,\\tilde η$\")\n", + "ax1.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "#ax1.set_ylim(-1, 21)\n", + "\n", + "ax2 = ax1.twinx()\n", + "im3 = ax2.plot(G_t, p0,'--', label=r\"$p$ ($\\rho_0=|0\\rangle\\langle0|$)\", c='tab:blue')\n", + "im4 = ax2.plot(G_t, p1,'--', label=r\"$p$ ($\\rho_0=|1\\rangle\\langle1|$)\", c='tab:red')\n", + "ax2.set_ylabel(r\"$p$\")\n", + "ax2.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2 + im3 + im4\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs, ncol=2)\n", + "\n", + "\n", + "ax3.plot(t/η, G_t)\n", + "ax3.set_xlabel(r\"$t/η$\")\n", + "ax3.set_ylabel(r\"$G(t)\\,/\\,\\tilde\\eta$\")\n", + "\n", + "fig.tight_layout()\n", + "fig.savefig(\"ramp_G.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5252e155", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ec94db98", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Tests/Ramp_G/Quench_MK1.ipynb b/Tests/Ramp_G/Quench_MK1.ipynb new file mode 100644 index 0000000..421356f --- /dev/null +++ b/Tests/Ramp_G/Quench_MK1.ipynb @@ -0,0 +1,404 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "a2d15104", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import * \n", + "\n", + "import scipy.sparse as spr\n", + "import block_diagonalize\n", + "import time\n", + "import os\n", + "import pickle\n", + "import matplotlib.image as mpimg\n", + "\n", + "\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "d7b44795", + "metadata": {}, + "outputs": [], + "source": [ + "Nfock = 30\n", + "a=destroy(Nfock)\n", + "\n", + "ηtilde = 1\n", + "Utilde = 10\n", + "\n", + "Δ = 10\n", + "N = 10\n", + "η = ηtilde/N\n", + "U = Utilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]\n", + "\n", + "parity = 1.j*np.pi*a.dag()*a\n", + "parity = parity.expm()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "cd43d75f", + "metadata": {}, + "outputs": [], + "source": [ + "G = 1.3\n", + "H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + "LL = liouvillian(H, c_ops)\n", + "\n", + "t = np.linspace(0,5e2,10000)*η\n", + "\n", + "Ï0 = fock_dm(Nfock,n=0)\n", + "Ï1 = fock_dm(Nfock,n=1)\n", + "e_ops = [a.dag()*a, parity]\n", + "\n", + "result0 = mesolve(H, rho0=Ï0, tlist=t, c_ops=c_ops, e_ops=e_ops)\n", + "result1 = mesolve(H, rho0=Ï1, tlist=t, c_ops=c_ops, e_ops=e_ops)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "9c401f07", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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KkoDq6bcPPvggO3fuZGRkhPe973385V/+ZavDkiRJHaTwAjQirgReCWzMzFNqyz4HnFjrshDYkpnL6qx7P/AUMAIMZ+YZBYQsSXPCnXfeyRve8AbOOecctm7dynvf+17OPvvsVoc155k3JUmdpBUjoCuBvwM+tWdBZv7anumI+CDw5BTrvzgzH29adJI0R9155518/OMf5y/+4i9aHYrGWol5U5LUIQq/CVFm3gRsrtcWEQH8KnBVoUFJkvjJT37C0qVLW7b/iLgyIjZGxJpJ2iMiPhwR6yLiroh4XtExtoJ5U5JUT7vmzbLdBfeFwGOZ+eNJ2hP4RkTcFhGXTraRiLg0IlZHxOrh4eGmBCpJnebhhx+mq6ulaWElcN4U7ecDS2uPS4GPFRBT2Zk3JWnuWkkb5s2y3YToEqb+FPfszNwQEUcCN0TED2ufDI+RmSuAFQDPOqIv+eq7Rm3hHbBwCTzwbVjzhYl7+JX3wMFHwn3fgrXXTWx/yf+A+QvhR9fDj78xsf3l/wd6++EH18BPJ4QGF36w+nzXP8ND3xnb1j0Pznt/dfr7/wQbvj+2fd4hcG716xG49ROwce3Y9oGnwTmXV6e//VHY/JOx7YccBy98Z3X65r+GrQ+PbT/8WXDW71Snv/UBGPzZ2PYjnw2/+F+q0zf+KezaOrb92OfCc3+9Ov3198LIrrHtS14Ap9W+u3D0/8keJ7wITloOQzvhG380sX3py+HnXwE7tsC//K+J7c/+T/DMc2DbRvi3OqcQnvJaeMZZsOUh+PcPTWxf9no47nR4fB18t87784zfhKNOhsfugdVXTmx//tvhiJ+Dh2+DOz4zsd3XXnXa197E9mWvBw4q/2uvyTLzpog4foouy4FPZWYC34mIhRFxTGY+0vTgymvW8+bAwEA2J1RJ0mxq17xZmgI0InqA1wCnT9YnMzfUnjdGxNXAmUCdv7T3OaS3AvdcvW/B6W8GlsAT949dvsdZvwscCY//uH77i/6g+rxxbf32c/+0+vzomvrte4qADd+f2N47sK8IWH/rxD8EB47cVwQ8+B34yb+MbT/s+H1FwP03w0PfHdt+1Mn7ioD7/rX6x+xoS56/rwj48Teqx2i0nU/uKwLu/RoMbhzbXhneVwSsvQ6GBse2d8/bVwTUOzbzD68WAZXh+u2HLqkWAcO76rc/7ReqRcDubfXbjzujWgTs3FK//YQXVQvQ7Y/Xbz/x/OoxfOqR+u2nvg74OXhyff12X3vVaV97E9tPeBHEz5f/tTdzPRGxetT8ilrh06jjgIdGza+vLZuTBWiz8qYkqTQ6Mm9GtSAueKfVSv0re+7mV1t2HvCHmfkrk6wzAHRl5lO16RuAP8vMr0+1r4GBgRwcHJyqiyS13Nq1a3n2s5/d6jBmTb2fJyK2Z+bAVOvVyw+j2r4K/Hlm3lKb/ybwB5l526wFXlLmTUmaezo1bxZ+sU9EXAV8GzgxItZHxFtrTRcz7jSiiDg2IlbVZo8CbomIO4HvAV/dXxKVpHbSig8Em6GJP8d6YMmo+cXAhmbtrCzMm5KkA1TKvFn4KbiZeckky99cZ9kG4ILa9H3Ac5oanCS1SH9/P5s2bWLRokVUb2zanjKTTZs20d/f34zNXwtcFhGfBZ4PPNnq61iKYN6UJB2gUubN0lwDKklz2eLFi1m/fj0/+9nP9t+55Pr7+1m8ePG016uN9J0DHBER64H3Ab0AmXkFsIpqcbUO2A68ZZZCliSp7bRr3mzJNaBF8loWSSqHRq5lUeuZNyWpHDo1b5bte0AlSZIkSR3KAlSSJEmSVAgLUEmSJElSISxAJUmSJEmFsACVJEmSJBXCAlSSJEmSVAgLUEmSJElSISxAJUmSJEmFsACVJEmSJBXCAlSSJEmSVAgLUEmSJElSISxAJUmSJEmFsACVJEmSJBXCAlSSJEmSVAgLUEmSJElSISxAJUmSJEmFsACVJEmSJBWi8AI0Iq6MiI0RsWbUsj+JiIcj4o7a44JJ1j0vIu6NiHURcXlxUUuS1BrmTUlSJ2nFCOhK4Lw6y/8mM5fVHqvGN0ZEN/AR4HzgJOCSiDipqZFKktR6KzFvSpI6ROEFaGbeBGw+gFXPBNZl5n2ZuRv4LLB8VoOTJKlkzJuSpE5SpmtAL4uIu2qnGh1Wp/044KFR8+tryyRJmovMm5KktlOWAvRjwLOAZcAjwAfr9Ik6y7LexiLi0ohYHRGrh4eHZy1ISZJKwrwpSWpLpShAM/OxzBzJzArwcaqnDY23Hlgyan4xsGGS7a3IzDMy84yenp7ZD1iSpBYyb0qS2lUpCtCIOGbU7KuBNXW63QosjYgTIqIPuBi4toj4JEkqE/OmJKldFf4xZ0RcBZwDHBER64H3AedExDKqpwbdD/x2re+xwCcy84LMHI6Iy4DrgW7gysy8p+j4JUkqknlTktRJIrPu5SAdY2BgIAcHB1sdhiTNeRGxPTMHWh2HpmbelKRy6NS8WYpTcCVJkiRJnc8CVJIkSZJUCAtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJIkSZJUCAtQSVIpRMR5EXFvRKyLiMvrtJ8TEU9GxB21x/9sRZySJJVFO+bOnlYHIElSRHQDHwFeBqwHbo2IazPzB+O63pyZryw8QEmSSqZdc6cjoJKkMjgTWJeZ92XmbuCzwPIWxyRJUpm1Ze60AJUklcFxwEOj5tfXlo13VkTcGRFfi4iTiwlNkqRSasvc6Sm4kqSi9ETE6lHzKzJzRW066vTPcfO3A8/IzG0RcQHwZWDp7IcpSVIpTJU3oU1zpwWoJKkow5l5xiRt64Elo+YXAxtGd8jMraOmV0XERyPiiMx8fPZDlSSp5abKm9CmudNTcCVJZXArsDQiToiIPuBi4NrRHSLi6IiI2vSZVHPYpsIjlSSpHNoydzoCKklqucwcjojLgOuBbuDKzLwnIt5Wa78CeC3w9ogYBnYAF2fm+FONJEmaE9o1d0an5+6BgYEcHBxsdRiSNOdFxPbMHGh1HJqaeVOSyqFT86an4EqSJEmSCmEBKkmSJEkqhAWoJEmSJKkQFqCSJEmSpEJYgEqSJEmSClF4ARoRV0bExohYM2rZX0XEDyPiroi4OiIWTrLu/RFxd0TcERGrCwtakqQWMW9KkjpJK0ZAVwLnjVt2A3BKZp4G/Aj4wynWf3FmLsvMM5oUnyRJZbIS86YkqUMUXoBm5k3A5nHLvpGZw7XZ7wCLi45LkqQyMm9KkjpJGa8B/U3ga5O0JfCNiLgtIi6dbAMRcWlErI6I1cPDw5N1kySpE5g3JUlto6fVAYwWEX8EDAOfnqTL2Zm5ISKOBG6IiB/WPhkeIzNXACsABgYGsmkBS5LUQuZNSVK7Kc0IaES8CXgl8IbMrJv8MnND7XkjcDVwZnERSpJUHuZNSVI7KkUBGhHnAe8BXpWZ2yfpMxARC/ZMAy8H1tTrK0lSJzNvSpLaVSu+huUq4NvAiRGxPiLeCvwdsIDq6UF3RMQVtb7HRsSq2qpHAbdExJ3A94CvZubXi45fkqQimTclSZ0kJjlrp2MMDAzk4OBgq8OQpDkvIrZn5kCr49DUzJuSVA6dmjdLcQquJEmSJKnzWYBKkiRJkgphASpJkiRJKoQFqCRJkiSpEBagkiRJkqRCWIBKkiRJkgphASpJkiRJKoQFqCRJkiSpEBagkiRJkqRCWIBKkiRJkgrRUAEaEU9vdiCSJHUSc6ckSRP1NNjv6xFxJLAWuBu4q/Z8d2ZubVZwkiS1MXOnJEnjNFSAZuZJEdEHnAycCpwGXAScFhG7MvOE5oUoSVL7MXdKkjRRoyOgZOZu4PsRsQ7YARwBLKX6aa4kSRrH3ClJ0lgNFaARcSJwIfBK4GnADcCngUtryVWSJI1i7pQkaaJGR0DXAt8HPgBcm5m7mheSJEkdwdwpSdI4kZn77xTx21SvXzkVeDawidqNFKjeTOHLTYxxRgYGBnJwcLDVYUjSnBcR2zNzoNVxFKVdc6d5U5LKoVPzZkMF6ISVIhZTvZnCqcApmfkbsx3YbDGRSlI5dGoibVS75E7zpiSVQ6fmzQMqQNuJiVSSyqFTE2mnMW9KUjl0at7saqRTRJwVETEbO4yIKyNiY0SsGbXs8Ii4ISJ+XHs+bJJ1z4uIeyNiXURcPhvxSJLKYX+/46Pqw7X2uyLiea2Is1GzlTvNm5KkybRj7myoAAXeBNwWEZ+NiDdHxNEz2OdK4Lxxyy4HvpmZS4Fv1ubHiIhu4CPA+cBJwCURcdIM4pAklUSDv+PPp/oVJkuBS4GPFRrk9M1W7lyJeVOSNE675s6GCtDMfFtmPg/4E+AwYGVEfDsi3h8RL6r98A3JzJuAzeMWLwc+WZv+JNUv6h7vTGBdZt5Xu339Z2vrSZLaXyO/45cDn8qq7wALI+KYA91hRJwfEd+tfXL8+Yg468DDn2i2cqd5U5I0ibbMnY2OgAKQmT/MzL/JzPOAlwC3AK8DvjvdHY9zVGY+UtvHI8CRdfocBzw0an59bZkkqf018jt+tvPAR4F3Ai8AVgB/FRGXzGB7dTUpd5o3JUltmTsb/R7QCTJzB7Cq9ihCveto6t5BKSIupTrETF9fXzNjkiQ1riciVo+aX5GZK2rTjfyObzgPNOixzPz32vSNEfFtqkXhVTPY5pQKzp3mTUlqb1PlTWjT3HnABegseywijsnMR2pDwhvr9FkPLBk1vxjYUG9jtf+YFVC9m99sBytJOiDDmXnGJG2N/I5vOA806P6I+N/An9VOXRoCnprB9opk3pSkzjdV3oQ2zZ0Nn4IbEYdFxBsj4uqIuCcivhIRvxURR00z6HqupXqzBmrP19TpcyuwNCJOiIg+4OLaepKk9tfI7/hrgTfW7uj3AuDJPaehHqAEXgM8FBG3AOuAb0XE0hlsc4wm5k7zpiSpLXNnQyOgEfElqjdQ+Crwnsz8UUQ8nepFrf8YEX2ZeU6D27oKOAc4IiLWA+8DPgB8PiLeCjxI9doYIuJY4BOZeUFmDkfEZcD1QDdwZWbe0+gPKkkqr8l+x0fE22rtV1A9bfUCqsluO/CWGe7zEoCI6AdOAZ5Te3wiIp6ZmUumWn9/Zit3mjclSfW0a+6MzP2faRMRCzNzy4G2t5JfqC1J5RAd+oXak2nX3GnelKRy6NS82ejXsGyZSbskSXONuVOSpImmPAW39kWm783MX6/NvwR4A7AFWAPcBazJzF1NjlOSpLZg7pQkaXJTnoIbEY8AZ2Xm/bX5DcDvUi1cT6s9Ts7Mn2t+qAfGU4kkqRw69VSi8do9d5o3JakcOjVv7q8APRW4PDPfUJu/KTNfVFRws8FEKknl0KmJdLx2z53mTUkqh07Nm1NeA5qZd+9JoDX/FhG/HxH1vtBUkqQ5z9wpSdLkGvoallFOpnq73fdExG3AHcAdmfnPsx2YJEkdwtwpSVJNo98D2pWZlcx8TW1+PvsS6vMj4ouZWWlinJIktRVzpyRJEzX0NSzADRHxuYi4JCIOycwdwA+Ap4CjgNuaFqEkSe3J3ClJ0jhT3oRoTMfqbeWXAxcAvUAC1wPXZubtTYtwhryZgiSVQ6feTGEq7Zg7zZuSVA6dmjcbLkDHrBTRn5k7mxDPrDORSlI5dGoibVS75E7zpiSVQ6fmzUZPwR2jHRKoJEllYu6UJOkAC1BJkiRJkqbLAlSSJEmSVAgLUEmSJElSISxAJUmSJEmFsACVJEmSJBXCAlSSJEmSVAgLUEmSJElSISxAJUmSJEmFsACVJEmSJBWiNAVoRJwYEXeMemyNiHeM63NORDw5qs//bFG4kiS1lHlTktSOelodwB6ZeS+wDCAiuoGHgavrdL05M19ZYGiSJJWOeVOS1I5KMwI6zkuBn2TmA60ORJKkNmDelCS1hbIWoBcDV03SdlZE3BkRX4uIk+t1iIhLI2J1RKweHh5uXpSSJJWDeVOS1BYiM1sdwxgR0QdsAE7OzMfGtR0CVDJzW0RcAPxtZi6dansDAwM5ODjYvIAlSQ2JiO2ZOdDqODqNeVOSOlOn5s0yjoCeD9w+PokCZObWzNxWm14F9EbEEUUHKElSiZg3JUlto4wF6CVMchpRRBwdEVGbPpNq/JsKjE2SpLIxb0qS2kZp7oILEBEHAS8DfnvUsrcBZOYVwGuBt0fEMLADuDjLdg6xJEkFMW9KktpN6a4BnW1eyyJJ5dCp17J0GvOmJJVDp+bNMp6CK0mSJEnqQBagkiRJkqRCWIBKkiRJkgphASpJkiRJKkSp7oIrSVI9EXE48DngeOB+4Fcz84k6/e4HngJGgOHMPKO4KCVJKocy501HQCVJ7eBy4JuZuRT4Zm1+Mi/OzGUWn5KkOay0edMCVJLUDpYDn6xNfxK4qHWhSJJUeqXNmxagkqSi9ETE6lGPS6ex7lGZ+QhA7fnISfol8I2IuG2a25ckqWw6Mm96DagkqShTXlsSETcCR9dp+qNp7OPszNwQEUcCN0TEDzPzpukGKklSCXRk3rQAlSSVQmaeO1lbRDwWEcdk5iMRcQywcZJtbKg9b4yIq4EzAQtQSVLHade86Sm4kqR2cC3wptr0m4BrxneIiIGIWLBnGng5sKawCCVJKo/S5k0LUElSO/gA8LKI+DHwsto8EXFsRKyq9TkKuCUi7gS+B3w1M7/ekmglSWqt0ubNyMxm76OlBgYGcnBwsNVhSNKcFxHbM3Og1XFoauZNSSqHTs2bjoBKkiRJkgphASpJkiRJKoQFqCRJkiSpEBagkiRJkqRCWIBKkiRJkgphASpJkiRJKkSpCtCIuD8i7o6IOyJidZ32iIgPR8S6iLgrIp7XijglSSoD86Ykqd30tDqAOl6cmY9P0nY+sLT2eD7wsdqzJElzlXlTktQ2SjUC2oDlwKey6jvAwog4ptVBSZJUUuZNSVKplK0ATeAbEXFbRFxap/044KFR8+tryyRJmovMm5KktlK2U3DPzswNEXEkcENE/DAzbxrVHnXWyfELakn4UoC+vr7mRCpJUuuZNyVJbaVUI6CZuaH2vBG4GjhzXJf1wJJR84uBDXW2syIzz8jMM3p6ylZjS5I0O8ybkqR2U5oCNCIGImLBnmng5cCacd2uBd5Yu6vfC4AnM/ORgkOVJKnlzJuSpHZUpo85jwKujgioxvWZzPx6RLwNIDOvAFYBFwDrgO3AW1oUqyRJrWbelCS1nciccClIRxkYGMjBwcFWhyFJc15EbM/MgVbHoamZNyWpHDo1b5bmFFxJkiRJUmezAJUkSZIkFcICVJIkSZJUCAtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJIkSZJUCAtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJIkSZJUCAtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJIkSZJUCAtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJJUehHxuoi4JyIqEXHGFP3Oi4h7I2JdRFxeZIySJJVFmfOmBagkqR2sAV4D3DRZh4joBj4CnA+cBFwSEScVE54kSaVS2rzZ0+wdNCoilgCfAo4GKsCKzPzbcX3OAa4Bflpb9KXM/LMCw5QktUBmrgWIiKm6nQmsy8z7an0/CywHftD0AFugWXnziP5h+Nf3V2dOfR0csRQe/zHc/c8TOy97PRx2PDy6BtZeO7H99LfAIcfAw7fDj74+sf3M34aBRfDgd+En35zYftZl0H8I/PQmuP+Wie0vfBf0zIMf3wjrvzex/cXvrT7/cBU8csfYtu5eeNF/r07f82XYOO5l0ncwnP1fq9N3fR42rRvbPv9weMHbqtPf/yfY8uDY9oOPgl98a3X61n+AbY+NbV/4dHjur1env3MF7Ng8tn3Rz8Fpv1qd/vcPw+5tY9uPPAlOvqg6fdNfwcjQ2PZjlsEvXFCd3vP/OdriM2HpuTC8C27+4MT2438ZTngR7NwK3/67ie3Peik8/fkwuAm+9/cT23/+PDjuebD1Ebjt/01sf/ar4OhT4In74Y7PTGz3tVed9rU3sb2dXntHnVx9nbRAmfNmaQpQYBh4V2beHhELgNsi4obMHH8Abs7MV7YgPknSzPRExOpR8ysyc8Usbv844KFR8+uB58/i9sumKXnzafOG4d/+ojpz7HOrf4htWrdv2WjHv7D6h9jGtfXbTzy/+ofYI3fWbz/1V6tFwPrv1W8//S3VIuD+f6/f/ku/V/3j7r5/rf+H6p4i4Edfh9s/Obat7+B9RcDa62DNF8a2H3z0viJgzRcnFjGHP2tfEXDHVfDAuCLlmOfsKwJu/2T1GIz2jF/eVwR8bwVs/snY9p8/b18R8O2PwLZHx7af8tp9RcAtH5pYJDzvTfuKgHrH7qzLqkXAyO767US1CNg9WL993oJqEbDjifrtC46pFgHbHq3fvmhptQjY8lD9dl971WlfexOb2+m1d8TSmRagHZk3IzObvY8DEhHXAH+XmTeMWnYO8O7pJNKBgYEcHByc/QAlSdMSEdszc2CK9hupjuaN90eZeU2tz7eo5oHV4ztFxOuAV2Tmf6nN/wZwZmb+3mzEX3bmTUnqLJ2aN8s0ArpXRBwPPBf4bp3msyLiTmAD1YN5T531LwUuBejr62tipJKk2ZKZ585wE+uBJaPmF1PNFR3PvClJc0+75s3S3YQoIg4Gvgi8IzO3jmu+HXhGZj4H+L/Al+ttIzNXZOYZmXlGT08pa2xJ0uy7FVgaESdERB9wMVDnAp3OYt6UJB2gluTNUhWgEdFLNYl+OjO/NL49M7dm5rba9CqgNyKOKDhMSVLBIuLVEbEeOAv4akRcX1t+bESsAsjMYeAy4HpgLfD5eqN9ncS8KUmqp8x5szTXgEb1Fk2fBDZn5jsm6XM08FhmZkScCXyB6ie7k/4QXssiSeWwv2tZND3mTUnqbJ2aN8t0ns3ZwG8Ad0fEHbVl7wWeDpCZVwCvBd4eEcPADuDiqZKoJEkdzLwpSWo7pRkBbRY/yZWkcujUT3I7jXlTksqhU/Nmqa4BlSRJkiR1LgtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJIkSZJUCAtQSZIkSVIhLEAlSZIkSYWwAJUkSZIkFcICVJIkSZJUiJ5WByBJkqTWyUwqCSOVrD4yGRmpPg9XKlQqjFk2UqkwUmFv23ClQiWT4b3t1UdE0NfdRV9PF/N6uuitTff1dNHX3UV/bxf9vd30djdnPGSkkmzbNcy2XcMM7hpm93CFgXk9DMzr5pD+Xvp7u6e1vcFdw2we3M283q6G1h8eqbBt1zAD83om/Rmzdrx6mnQMpDKyAJUkSXvtHq7wB1+4c8bbyZyFYPZsa/Y2NctxzdLGEiqZjCRUKlmdHvU8kvsKlZEx7ezrU0kyq4VipbKvEMw9heWofmMKzdp0K3V3Bf09Xczv62ZeT/fewnR+bzf9vdX5eXvnu5jX083QSIUdu0fYMTTCzqERBneN7C00n9o1zLadw+wYGplyv/N6ulh4UC+HHdTHofN7WXhQLwvn99Hf28XWncM8uWOITYO72bRtF5u27Z6wvQXzenjaIfM4csE8nragn0Pn9/DE4BCPbd3Jhi07eHTrTvYc2oUH9XL0If0cdUg/T1swj82Du3lg0yDrn9jBruEKh/T3cOzC+Ry7cD6Hzu/lwc3beWDTdrbuHOJpB89jyeHzOfbQ+Tz21E4e2LSdbbuGOW7hfI5fNMDukQoPbBpk645hFh82n2MWzudnT+1kw5adHDbQx+KF83l82y42PrWLow6Zx2EH9fHg5u2MVJJFB/fR3dXFE4O7GZhX/TDgyR1DHNTXTSbsGq4wMK+bnUMV+mpFciWT3u4uhiuV6vNI0tMdjFSS7q6gkklXBJkQwd753cMVuiLo7goiICKI/bw2Gnll5my+qWfZ8YsG+F8XndLqMEonyvyfNhsGBgZycHCw1WFI0pwXEdszc6DVcWhq3X39eeaffnVWtrW/Py6nta2Yza3NntkKa88f5l1B7Tn2LduzPKrT3aP+iO+uzXftfd63rT3L92yze++6XXR3MfY5gp7u6j57avvc89xdZ1lP176+3XUeXRFAsmu4wu7aY2gk2T0ysnd+51CFnUMj7BweYcfuCjuHq8Vk9VHZO71jqMKuvdMj7Bqu0NfTxfxaUTqvt5uD53Vz8LweBub1sKC/Z+/0wbX5gXk99HR1sX13tUjdU2Bu2b6bLduH2DJqeufQCIfM7+XQ+b0cPtDHEQfPY9FAH0csmMfhB/Wxa6TCk9t38/i23fzsqV1sfGonG5/axZM7hjh8oI8jF8zj2IXzOW7hfBYe1Me2ncP8bNtOHn1yF49t3cnGp3Zy2EF9HL9ogCWHz2dgXg+bB3ezYcsOHt6yky3bd7Pk8IM4YdEAhx7Uy8+e2sWDm7fzyJYdPG3BPJ6xaIAF/T08vGUH9z8+SF9PF89YNMAh/b08tHk7j2zdwZEL+jl24Xw2D+6qFqIH9XL0of08+uROtuwYYslhB9Hb3cXmwV0MV5LDB/qqo8QjycL5vezYPUKS9Pd2M7hrmP7eatGfCV1dwdBIhd6uLnaPVOjtDoZGkp6uYKRWbFZGPQdQSejr7iLZN9qewN4qdar3WAPvn5L+euCZRxzMB3/1OQe8fqfmTQtQSVIhOjWRdhrzpiSVQ6fmTU84lyRJkiQVwgJUkiRJklQIC1BJkiRJUiEsQCVJkiRJhbAAlSRJkiQVwgJUkiRJklSI0hSgEXFeRNwbEesi4vI67RERH6613xURz2tFnJIklYW5U5LUbkpRgEZEN/AR4HzgJOCSiDhpXLfzgaW1x6XAxwoNUpKkEjF3SpLaUU+rA6g5E1iXmfcBRMRngeXAD0b1WQ58KjMT+E5ELIyIYzLzkak2XMnkR489NWF5Zv3+Sf2GSfvP0nYmM2txTrr9yQOafJ3prTH9mCZbnmPW29Nv77EY+zShPSe0j90e47c3ep1RMUXUHkRtOoja8q7aNKPau6LWb++6e/pXn7siqGTufYxUYKSSZCYjmYxUam2V6uu5K4Luruo2u7uC7giitqy7q7rd7to+h0aS4ZEKw5VkaKTC8Ej1p+vugu6uLnq69qwXe7c1XKmwa6jCrlr/8X17uqr72zU8wq7hCpVK0tPdRW9X0NPdRU93MDyS7BgaYaRSoaeruqy3u4tM2Dk0AkBfTxd9PdVlO3ZXl83r7aK3u4udQyMMjVSY19PNvJ7q/Egl6e/rpjuCwd3D9HZ3Ma+nix27R+jpDub1dLNjaISerti7jf7ebnaPVOiKaty7hiv093axa7jCvJ59z0MjSW8t7u6uILP6Otjzf9MVMcmrdaw93TKr06NfN309XXSNah/z2hv3eq3+/4/dZvVlFSTVGMevN356srgaVe9HPn7RAPP7uhvfiJqtablTkqRmKUsBehzw0Kj59cDzG+hzHDBlEt01VOHlf3PTbMQoSXPatZedzWmLF7Y6DO3TtNwpSVKzlKUArTe8MP6z+kb6VDtGXEr1VCN6evv4yOvrX/Iy2aDGZGMdkw+C1G+Y/vYn2c4045l8v9MMaMp9z1KsB3rsYuz6EWPb98Q3cfnYDUy6Xp1Y9ow+VUfHqiOoe5/3LquOUu4ZQav9G7VsdP+s9YeugK6uqI5uRtDVRe059o547hnVrI6UMmpktDpSumeEdKS2LJO9I489tdHJ3u4giL0jqyOVZLhS2Ts9UhvN7Ouujk72dsfefY3vO6+nm3m9XXtHTYdGqsuHRir0dnfR39tNd1cwPFJtG65UCIL+3uqZ/7uHq6OsAAN9PURUPzDaPTJCf083vT1d1ZHY4ZG929ozEnpQXw/DlQo7hyrM7+1mJJOdQyPM7+3eG0t/bzc7h0bo667tb6RCX22bo0c/dw1X6O2OvaOgI5Xc+1oYqewZEa3+X+95XYz+xRPU/0U0frRxuFKZdFRz/GutK2LvaGllzGhqNYpKZt3X6L6IxkSyd0S2fns99YdKn3H4QAPrqkCzljtH582+vr6ZRyZJ0iTKUoCuB5aMml8MbDiAPgBk5gpgBcDAwEBeeNoxsxepJEnlMGu5c3zenN0wJUnapxQ3IQJuBZZGxAkR0QdcDFw7rs+1wBtrd/R7AfCk17BIkuYwc6ckqe2UYgQ0M4cj4jLgeqAbuDIz74mIt9XarwBWARcA64DtwFtaFa8kSa1m7pQktaOY6i6onWBgYCAHBwdbHYYkzXkRsT0zvZC05MybklQOnZo3y3IKriRJkiSpw1mASpIkSZIKYQEqSSq9iHhdRNwTEZWIOGOKfvdHxN0RcUdErC4yRkmSyqLMebMUNyGSJGk/1gCvAf6+gb4vzszHmxyPJEllVtq8aQEqSSq9zFwLEBGtDkWSpNIrc970FFxJUidJ4BsRcVtEXNrqYCRJKrnC82bHj4Bu3749I2LHFF26gZEDaJ/O8vHLRs/3AMNT7H827O9nnOl6zT6G+zumHsP9L9/ffLOP4YEev+msO5vHcLrvY+j8YzjdtnrL5o+7vmRFZq7YMxMRNwJH19n+H2XmNZNGPdbZmbkhIo4EboiIH2bmTQ2uKxrKm+D7bTbWbfb7rV2PYbN/50/W5jGcXrvHsLF+M/37rTPzZmbO6QfV/8hpt09n+fhlo+eB1a3+GWe6XrOP4f6Oqcdw+sewznxTj+GBHr9WHcPpvo/nwjGcbttM4t1PjN8Czmiw758A727m/8tcffh+m/m6zX6/tesxbPbvfI+hx7AMx3C6y2d4DEqXNz0FF647wPbpLB+/bH/7nG0Hur9G12v2MWzkmDZbpx3Ddjl+01l3No9hJ72Pp7PuVP2m21b08SEiBiJiwZ5p4OVUb8Kg2ef7bebrNvv91q7HsNm/8ydr8xhOr91j2Fi/2agjmqZVeTNq1a5aJCJWZ+akt0bW/nkMZ85jOHMew+aKiFcD/xd4GrAFuCMzXxERxwKfyMwLIuKZwNW1VXqAz2Tm/2lJwGoq328z5zGcOY/hzHkMm6fMebPjrwFtAyv230X74TGcOY/hzHkMmygzr2Zfkhy9fANwQW36PuA5BYem1vD9NnMew5nzGM6cx7BJypw3HQGVJEmSJBXCa0AlSZIkSYWwAJUkSZIkFcICVJIkSZJUCAvQEouIZ0bEP0TEF1odSzup3VL6kxHx8Yh4Q6vjaUe+9mYuIi6qvQaviYiXtzoeaa7w99f0mTdnztfdzJk35w4L0CaJiCsjYmNErBm3/LyIuDci1kXE5VNtIzPvy8y3NjfS9jDN4/ka4AuZ+VvAqwoPtqSmcwx97dU3zWP45dpr8M3Ar7UgXKntmDtnj3lz5sybM2feVD0WoM2zEjhv9IKI6AY+ApwPnARcEhEnRcSpEfGVcY8jiw+51FbS4PEEFgMP1bqNFBhj2a2k8WOo+lYy/WP4x7V2Sfu3EnPnbFmJeXOmVmLenKmVmDc1jt8D2iSZeVNEHD9u8ZnAutp37hARnwWWZ+afA68sOMS2Mp3jCaynmkzvwA9Z9prmMfxBweG1hekcw4hYC3wA+Fpm3l5spFJ7MnfOHvPmzJk3Z868qXr8JVOs49j3CSNUf+EfN1nniFgUEVcAz42IP2x2cG1osuP5JeA/R8THgOtaEVgbqXsMfe1Ny2Svw98DzgVeGxFva0VgUocwd84e8+bMmTdnzrw5xzkCWqyosywn65yZmwDfgJOrezwzcxB4S9HBtKnJjqGvvcZNdgw/DHy46GCkDmTunD3mzZkzb86ceXOOcwS0WOuBJaPmFwMbWhRLJ/B4zpzHcOY8hlJz+R6bPR7LmfMYzpzHcI6zAC3WrcDSiDghIvqAi4FrWxxTO/N4zpzHcOY8hlJz+R6bPR7LmfMYzpzHcI6zAG2SiLgK+DZwYkSsj4i3ZuYwcBlwPbAW+Hxm3tPKONuFx3PmPIYz5zGUmsv32OzxWM6cx3DmPIaqJzInvYxCkiRJkqRZ4wioJEmSJKkQFqCSJEmSpEJYgEqSJEmSCmEBKkmSJEkqhAWoJEmSJKkQFqCSJEmSpEJYgEqSJEmSCtHT6gAkNU9EXAd8DzgMeE9mDrU4JEmSSsu8KTWfI6BSE0TE4oj4tTrLj4+IHRFxRwExHA7cCOwG+jNzKCLmR8QdEbE7Io5odgySJDXCvCnNHY6ASs3xUuAk4HN12n6SmcuaHUBmbgb+dtyyHcCyiLi/2fuXJGkazJvSHOEIqDTLIuKXgb8GXlv71PSE/fR/T0SsiIgvR8RPI+LdsxDDrG9TkqRmMG9Kc4sFqDTLMvMW4FZgeWYuy8yf7meVU4F5wH8GXg68cXyHiLi5lpTHP8490G1KklQG5k1pbvEUXKk5TgTubbDvacCrM3MkIkaAzeM7ZOYLp7n//W5TkqQSMW9Kc4QFqDTLImIR8GQjd86LiF7giMz8SW3RacDddfrdDCyos4l3Z+aNB7JNSZLKwLwpzS0WoNLsOwHY0GDfE4G1o+aXAXeO7zTNT3Ib2qYkSSVh3pTmEK8BlWbfD4EjImJNRPzSfvqeCtw1an4ZM096zdimJEnNYt6U5pDIzFbHIM0ZEXE88JXMPGWS9nXAqbXbvs/WPidss3Y7+TMy8/HZ2o8kSbPNvCl1HkdApWKNAIfW+0LtiFgI7J7lJDpmm3u+UBvoBSqztR9JkprEvCl1GEdAJUmSJEmFcARUkiRJklQIC1BJkiRJUiEsQCVJkiRJhbAAlSRJkiQVwgJUkiRJklQIC1BJkiRJUiEsQCVJkiRJhbAAlSRJkiQVwgJUkiRJklSI/w817A4GQiQhXwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 936x360 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,[ax1,ax3] = plt.subplots(1,2, figsize=(13,5))\n", + "fig.suptitle(r\"$G<G_c$\", fontsize=16)\n", + "\n", + "\n", + "#=== n=0 ===\n", + "\n", + "n = result0.expect[0]\n", + "p = result0.expect[1]\n", + "\n", + "im1 = ax1.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax1.set_xscale(\"log\")\n", + "ax1.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax1.set_title(r\"$\\rho_0=|0\\rangle\\langle0|$\", fontsize=14)\n", + "ax1.set_ylim(-1, 21)\n", + "\n", + "ax2 = ax1.twinx()\n", + "im2 = ax2.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax2.set_ylabel(r\"$p$\")\n", + "ax2.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "\n", + "\n", + "#=== n=1 ===\n", + "\n", + "n = result1.expect[0]\n", + "p = result1.expect[1]\n", + "\n", + "im1 = ax3.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax3.set_xscale(\"log\")\n", + "ax3.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax3.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax3.set_title(r\"$\\rho_0=|1\\rangle\\langle1|$\", fontsize=14)\n", + "ax3.set_ylim(-1, 21)\n", + "\n", + "ax4 = ax3.twinx()\n", + "im2 = ax4.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax4.set_ylabel(r\"$p$\")\n", + "ax4.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"evolve_below.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ef890ca8", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "abfa49b7", + "metadata": {}, + "outputs": [], + "source": [ + "G = 10\n", + "H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + "LL = liouvillian(H, c_ops)\n", + "\n", + "t = np.linspace(0,5e2,10000)*η\n", + "\n", + "Ï0 = fock_dm(Nfock,n=0)\n", + "Ï1 = fock_dm(Nfock,n=1)\n", + "e_ops = [a.dag()*a, parity]\n", + "\n", + "result0 = mesolve(H, rho0=Ï0, tlist=t, c_ops=c_ops, e_ops=e_ops)\n", + "result1 = mesolve(H, rho0=Ï1, tlist=t, c_ops=c_ops, e_ops=e_ops)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d2e20260", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 936x360 with 4 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,[ax1,ax3] = plt.subplots(1,2, figsize=(13,5))\n", + "fig.suptitle(r\"$G>G_c$\", fontsize=16)\n", + "\n", + "\n", + "#=== n=0 ===\n", + "\n", + "n = result0.expect[0]\n", + "p = result0.expect[1]\n", + "\n", + "im1 = ax1.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax1.set_xscale(\"log\")\n", + "ax1.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax1.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax1.set_title(r\"$\\rho_0=|0\\rangle\\langle0|$\", fontsize=14)\n", + "ax1.set_ylim(-1, 21)\n", + "\n", + "ax2 = ax1.twinx()\n", + "im2 = ax2.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax2.set_ylabel(r\"$p$\")\n", + "ax2.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "\n", + "\n", + "#=== n=1 ===\n", + "\n", + "n = result1.expect[0]\n", + "p = result1.expect[1]\n", + "\n", + "im1 = ax3.plot(t/η,n,'-', label=r\"$\\langle\\hat{n}\\rangle$\", c='tab:blue')\n", + "ax3.set_xscale(\"log\")\n", + "ax3.set_xlabel(r\"$t$ [$\\eta\\, =\\, \\tilde\\eta$]\")\n", + "ax3.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "ax3.set_title(r\"$\\rho_0=|1\\rangle\\langle1|$\", fontsize=14)\n", + "ax3.set_ylim(-1, 21)\n", + "\n", + "ax4 = ax3.twinx()\n", + "im2 = ax4.plot(t/η,p,'--', label=r\"$p$\", c='tab:orange')\n", + "ax4.set_ylabel(r\"$p$\")\n", + "ax4.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs)\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"evolve_above.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e3d7b5e0", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75281e4c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "a8a36bc2", + "metadata": {}, + "outputs": [], + "source": [ + "Nfock = 50\n", + "a=destroy(Nfock)\n", + "\n", + "ηtilde = 1\n", + "Utilde = 10\n", + "\n", + "Δ = 10\n", + "N = 10\n", + "η = ηtilde/N\n", + "U = Utilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]\n", + "\n", + "parity = 1.j*np.pi*a.dag()*a\n", + "parity = parity.expm()\n", + "\n", + "\n", + "H0 = -Δ*a.dag()*a + U/2*a.dag()**2*a**2\n", + "H1 = 1/2*(a.dag()**2 +a**2)\n", + "\n", + "def G(t,args):\n", + " tf = args['tfinal']\n", + " Gf = args['Gfinal']\n", + " return Gf*t**3/tf**3\n", + "\n", + "H = [H0,[H1, G]]\n", + "\n", + "tf = t.max()\n", + "Gf = 14\n", + "\n", + "Ï0 = fock_dm(Nfock,n=0)\n", + "e_ops = [a.dag()*a, parity]\n", + "\n", + "result0 = mesolve(H, rho0=Ï0, tlist=t, c_ops=c_ops, e_ops=e_ops, args={'tfinal': tf, 'Gfinal' : Gf})\n", + "\n", + "Ï1 = fock_dm(Nfock,n=1)\n", + "result1 = mesolve(H, rho0=Ï1, tlist=t, c_ops=c_ops, e_ops=e_ops, args={'tfinal': tf, 'Gfinal' : Gf})" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "79022cb2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 864x360 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig,[ax1,ax3] = plt.subplots(1,2, figsize=(12,5))\n", + "fig.suptitle(r\"Adiabatically vary $G$ across $G_c$\", fontsize=16)\n", + "\n", + "n0 = result0.expect[0]\n", + "p0 = result0.expect[1]\n", + "n1 = result1.expect[0]\n", + "p1 = result1.expect[1]\n", + "G_t = G(t,args={'tfinal': tf, 'Gfinal' : Gf})\n", + "\n", + "im1 = ax1.plot(G_t, n0, '-', label=r\"$\\langle\\hat{n}\\rangle$ ($\\rho_0=|0\\rangle\\langle0|$)\", c='tab:blue')\n", + "im2 = ax1.plot(G_t, n1, '-', label=r\"$\\langle\\hat{n}\\rangle$ ($\\rho_0=|1\\rangle\\langle1|$)\", c='tab:red')\n", + "#ax1.set_xscale(\"log\")\n", + "\n", + "ax1.set_xlabel(r\"$G(t)\\,/\\,\\tilde η$\")\n", + "ax1.set_ylabel(r\"$\\langle\\hat{n}\\rangle\\,/\\,N$\")\n", + "#ax1.set_ylim(-1, 21)\n", + "\n", + "ax2 = ax1.twinx()\n", + "im3 = ax2.plot(G_t, p0,'--', label=r\"$p$ ($\\rho_0=|0\\rangle\\langle0|$)\", c='tab:blue')\n", + "im4 = ax2.plot(G_t, p1,'--', label=r\"$p$ ($\\rho_0=|1\\rangle\\langle1|$)\", c='tab:red')\n", + "ax2.set_ylabel(r\"$p$\")\n", + "ax2.set_ylim(-1.5,1.5)\n", + "\n", + "im = im1 + im2 + im3 + im4\n", + "labs = [l.get_label() for l in im]\n", + "ax1.legend(im, labs, ncol=2)\n", + "\n", + "\n", + "ax3.plot(t/η, G_t)\n", + "ax3.set_xlabel(r\"$t/η$\")\n", + "ax3.set_ylabel(r\"$G(t)\\,/\\,\\tilde\\eta$\")\n", + "\n", + "fig.tight_layout()\n", + "fig.savefig(\"ramp_G.png\",dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5252e155", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ec94db98", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 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good if it is a sparse matrix. + + Parameters + ---------- + array like object : input matrix + (Qobj or array-like) + + Returns + ------- + array like object : permutation + matrix + + """ + # number of vertices in graph + n = 0 + + # flag for cheking if input is Qobj + isQobj = False + + # format input for algorithm + # converts everything into DOK sparse + if type(A) is list or type(A) is np.ndarray: + A = dok_matrix(list(A)) + n = A.shape[0] + + elif issparse(A): + A = dok_matrix(csr_matrix(A)) + n = A.shape[0] + + elif type(A) is qutip.qutip.Qobj: + A = dok_matrix(csr_matrix(A.data)) + n = A.shape[0] + isQobj = True + else: + raise RuntimeError("Input should be either an "+ + "array-like object or sparse or Qobj") + + # create adjacency list for graph representation + # of input matrix + # A is dok_matrix + temp_dict = list(A.keys()) + graph = {} + + row_with_elems = [] + col_with_elems = [] + + for i in temp_dict: + row_with_elems.append(i[0]) + col_with_elems.append(i[1]) + if(graph.get(i[0]) != None): + graph[i[0]].append(i[1]) + else: + graph[i[0]] = [] + graph[i[0]].append(i[1]) + if(graph.get(i[1]) != None): + graph[i[1]].append(i[0]) + else: + graph[i[1]] = [] + graph[i[1]].append(i[0]) + + row_with_elems = sorted(list(dict.fromkeys(row_with_elems))) + col_with_elems = sorted(list(dict.fromkeys(col_with_elems))) + + for key in graph.keys(): + graph[key] = sorted(list(dict.fromkeys(graph[key]))) + # print(len(col_with_elems), len(row_with_elems)) + # repeated BFS till all elements have been seen + seen = [False]*n + check = False + block_rows = [] + block_sizes = [] + + # total path after all possible disjoint BFS + net_path = [] + + for i in range(n): + if seen[i] == False: + seen[i] = True + # traversal path for single BFS + # starting from i + bfs_path = [] + # BFS + visited = [False]*n + queue = [] + queue.append(i) + visited[i] = True + while queue: + curr = queue.pop(0) + bfs_path.append(curr) + if graph.get(curr) != None: + for nbr in graph[curr]: + if visited[nbr] == False and seen[nbr] == False: + queue.append(nbr) + seen[nbr] = True + visited[nbr] = True + block_rows.append(bfs_path) + block_sizes.append(len(bfs_path)) + net_path.extend(bfs_path) + # check finds if first BFS covered + # the whole graph + if i == 0: + if len(bfs_path) < n: + check = True + else: + check = False + break + + # checks if connected components are proper subset + # This means a permutation matrix exists + if check == True: + # this means permutation matrix exists + # computes the permutation matrix + p_indices = net_path + rows = range(n) + vals = [1]*n + P = csr_matrix((vals,(rows, p_indices)),shape=(n,n)) + return P, block_rows, block_sizes + else: + # no permutation matrix exists + return None, None, None + + +def get_blocks(A): + """ + Takes a sparse CSR matrix/numpy array as input + and returns number of blocks. + + Algorithm is linear in number of rows, given sparse + representation. (Needs list of nonzero elements.) + + Parameters + ---------- + sparse matrix/numpy array: input matrix + + Returns + ------- + int : number of blocks + list : all of the blocks themselves + list : indices at which the blocks start + + """ + + # total number of rows + n = A.shape[0] + # print(A.nonzero()[1]) + + # makes dict of indices in each row and col + row_idx_dict = {row: [] for row in range(n)} + col_idx_dict = {col: [] for col in range(n)} + + for row, col in zip(*A.nonzero()): + row_idx_dict[row].append(col) + col_idx_dict[col].append(row) + + # number of blocks + block_count = 1 + + # for each row maintain a max_before and min_after dict + max_row_before = {} + max_col_before = {} + min_row_after = {} + min_col_after = {} + + # populates before dicts + max_row = 0 + max_col = 0 + + for i in range(n): + max_row_before[i] = max_row + max_col_before[i] = max_col + if(len(row_idx_dict[i]) != 0): + max_row = max(max_row, row_idx_dict[i][-1]) + else: + max_row = max_row + if(len(col_idx_dict[i]) != 0): + max_col = max(max_col, col_idx_dict[i][-1]) + else: + max_col = max_col + + # populates after dicts + min_row = n-1 + min_col = n-1 + + for i in reversed(range(n)): + min_row_after[i] = min_row + min_col_after[i] = min_col + if(len(row_idx_dict[i]) != 0): + min_row = min(min_row, row_idx_dict[i][0]) + else: + min_row = min_row + if(len(col_idx_dict[i]) != 0): + min_col = min(min_col, col_idx_dict[i][0]) + else: + min_col = min_col + + # stores indices of blocks + block_indices = [] + + # new block begins if + # max before is < + # max after is >= + for i in range(n): + if (i > max_row_before[i] and + i > max_col_before[i] and + i <= min_row_after[i] and + i <= min_col_after[i]): + block_indices.append(i) + block_count += 1 + + # now return as blocks + block_list = [] + + # corner case + if block_count == 1: + block_list = None + + else: + # partitions into actual blocks + lower_x = 0 + upper_x = n + for i in range(block_count): + + # set range for finding block + if i == 0: + upper_x = block_indices[0] + elif i == (block_count-1): + lower_x = upper_x + upper_x = n + else: + lower_x = upper_x + upper_x = block_indices[i] + + block_list.append(A[lower_x:upper_x, lower_x:upper_x]) + + return block_count, block_list, [0]+block_indices + + diff --git a/Tests/test1.ipynb b/Tests/test1.ipynb new file mode 100644 index 0000000..b49813b --- /dev/null +++ b/Tests/test1.ipynb @@ -0,0 +1,2277 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "d6682c69", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import * \n", + "\n", + "import scipy.sparse as spr\n", + "import block_diagonalize\n", + "import time\n", + "import os\n", + "import pickle\n", + "import matplotlib.image as mpimg\n", + "\n", + "\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f7f68665", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5e80c9bb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "20.10335111618042\n" + ] + } + ], + "source": [ + "a=destroy(28)\n", + "\n", + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()\n", + "\n", + "Delta = 10\n", + "U = 0.1\n", + "eta = 0.1\n", + "\n", + "Grange = np.geomspace(5e-2, 3e3, 31)\n", + "c_ops = [np.sqrt(eta)*a**2]#, np.sqrt(beta)*a.dag()*a]\n", + "\n", + "num_even = np.zeros(Grange.size)\n", + "num_odd = np.zeros(Grange.size)\n", + "gap_even = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_even_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd_even = np.zeros(Grange.size, dtype='complex')\n", + "evals_list = []\n", + "\n", + "t1 = time.time()\n", + "for g in range(Grange.size):\n", + " H = -Delta*a.dag()*a + Grange[g]/2 *(a.dag()**2 +a**2) +U/2 *a.dag()**2*a**2\n", + " LL = liouvillian(H, c_ops)\n", + " \n", + " P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + " bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + " num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) \n", + " \n", + " num_keep = 15\n", + " evals_keep = np.zeros((num_blocks, num_keep), dtype='complex')\n", + " \n", + " done=False\n", + " for i in range(int(len(blocks_list))):\n", + " block = blocks_list[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + " evals_keep[i,:] = evals[-num_keep:]\n", + " \n", + " ss_block_form=evecs[-1]\n", + " evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex)\n", + " evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data\n", + " evec2 = evec2.tocsr()\n", + " evec2=np.dot(np.transpose(P),evec2)\n", + " ss= Qobj(evec2, dims=[LL.dims[0], [1]])\n", + " ss=vector_to_operator(ss)\n", + "\n", + " if ss.tr()>0.05:\n", + " ss=ss+ss.dag()\n", + " ss/=(ss.tr()) \n", + " if expect(parity, ss)>0.5:\n", + " num_even[g] = expect(ss, a.dag()*a)\n", + " gap_even[g] = evals[-2]\n", + " else:\n", + " num_odd[g] = expect(ss, a.dag()*a) \n", + " gap_odd[g] = evals[-2]\n", + " elif done==False:\n", + " gap_even_odd[g] = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1]))\n", + " gap_odd_even[g] = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) \n", + " done=True\n", + " evals_list.append(evals_keep)\n", + " \n", + "print(time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "dc957fcc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "<matplotlib.legend.Legend at 0x7fd7f50e3820>" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from celluloid import Camera # getting the camera\n", + "from IPython.display import HTML # to show the animation in Jupyter\n", + "\n", + "style_list=['ro', 'g^', 'yx', 'cs']\n", + "parity_list=['+,+', '+,--', '--,+', '--,--']\n", + "fig, ax = plt.subplots(); # creating my fig\n", + "ax.set_xscale(\"log\")\n", + "ax.set_ylim(-60,60)\n", + "\n", + "camera = Camera(fig)# the camera gets the fig we'll plot\n", + "for i in range(Grange.size):\n", + " for j in range(num_blocks):\n", + " ax.plot(np.abs(np.real(evals_list[i][j,:])), np.imag(evals_list[i][j,:]), style_list[j], label=parity_list[j])\n", + " if i==0: ax.legend()\n", + " camera.snap(); # the camera takes a snapshot of the plot\n", + "animation = camera.animate(); # animation ready\n", + "HTML(animation.to_html5_video()) # displaying the animation" + ] + }, + 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+ "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib import animation\n", + "from IPython.display import HTML\n", + "\n", + "style_list=['ro', 'g^', 'yx', 'cs']\n", + "parity_list=['+,+', '+,--', '--,+', '--,--']\n", + "\n", + "# First set up the figure, the axis, and the plot element we want to animate\n", + "fig = plt.figure();\n", + "ax = plt.axes(xlim=(1e-14, 10), ylim=(-60, 60));\n", + "ax.set_xscale(\"log\");\n", + "lines = []\n", + "\n", + "fig = plt.figure();\n", + "ax = plt.axes(xlim=(1e-14, 5), ylim=(-60, 60));\n", + "ax.set_xscale(\"log\");\n", + "for j in range(num_blocks):\n", + " temp_line, = ax.plot([], [], style_list[j], label=parity_list[j]);\n", + " lines.append(temp_line);\n", + "\n", + "# Initialization function: plot the background of each frame\n", + "def init():\n", + " for j in range(len(lines)):\n", + " lines[j].set_data([], []);\n", + " return lines\n", + "\n", + "# Animation function which updates figure data. This is called sequentially\n", + "def animate(i):\n", + " for j in range(num_blocks):\n", + " lines[j].set_data(np.abs(np.real(evals_list[i][j,:])), np.imag(evals_list[i][j,:]));\n", + " return lines\n", + "\n", + "# Call the animator. blit=True means only re-draw the parts that have changed.\n", + "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", + " frames=31, interval=100, blit=True);\n", + "\n", + "plt.close(anim._fig);\n", + "\n", + "# Call function to display the animation\n", + "HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c4c494cd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "827580b8", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a606aa37", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "30c48fa7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5af81bcd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "3e7dce67", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.xscale(\"log\")\n", + "plt.plot(Grange, num_even, 'bo-', ms=5, label=\"even\")\n", + "plt.plot(Grange, num_odd, 'rs-', ms=5, label=\"odd\")\n", + "\n", + "plt.xlabel(r\"$G$\")\n", + "plt.ylabel(r\"$\\langle a^{\\dagger} a\\rangle$\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "50f826f2", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "22984485", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "plt.plot(Grange, -np.real(gap_even), 'bo-', ms=5, label=\"even\")\n", + "plt.plot(Grange, -np.real(gap_odd), 'rs-', ms=5, label=\"odd\")\n", + "\n", + "plt.axhline(1, c='k', ls='--')\n", + "\n", + "plt.ylabel(r\"$-\\Re(\\lambda_1)$\")\n", + "plt.xlabel(r\"$G/U$\")\n", + "plt.legend();" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "2ae076ca", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.xscale(\"log\")\n", + "plt.plot(Grange, -np.real(gap_even_odd), 'g^-')\n", + "plt.plot(Grange, -np.real(gap_odd_even), 'yh-')\n", + "\n", + "plt.yscale('log')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "277b6ed2", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c2217ee9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3bdefffd", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "136fadfe", + "metadata": {}, + "outputs": [], + "source": [ + "with open(\"GoverDelta_scan.pckl\", \"rb\") as fp:\n", + " Deltarange, results = pickle.load(fp)\n", + "\n", + "Grange, num_even, num_odd, gap_even, gap_odd, gap_even_odd, gap_odd_even = list(list(zip(*results)))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "7f9574e3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWgAAAD+CAYAAAAXrZ8/AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/Il7ecAAAACXBIWXMAAAsTAAALEwEAmpwYAAAYe0lEQVR4nO3dfYxcV3nH8e9v1y/rtb2OX4CCHWGnRKmiUEhrkgItpXkRhsQY0ai1eREFEytSQ2lVqUpUJP5qwx+ogigR0ZK4DgIlCimiNnJiKC2KqNLIJkGQxA01gZB1kzpOmpQkxN7defrHzMKy94z33p2ZO2d3fx/pKjvP3nvn+Gb22bPnnvNcRQRmZpafgX43wMzM0pygzcwy5QRtZpYpJ2gzs0w5QZuZZcoJ2swsU07QZmaZcoI2M8vUkrreSNL7gCuAEeC2iPjmbMcs0/IYYmWvm2YzSWVCTQODhVBj1fJCbO3GFwqxkYFXkqcsu3QqtV/QrqFzP2e9Omv/YvbYD0+djIhXzfX4d/3Rynj2uclS+37vB6cORcS2ub5XWR0laEl7gSuBExFxwbT4NuDzwCBwa0R8JiK+Dnxd0lrgs8CsCXqIlVysSztp4uKk8n8YaSCREBLHa2n6ozKwelUh9uJbzynErrrh3kLs8pVHk+ecTCSpRhRjqf0m2/xRmDq+7HvXaTL8R+1cvWPLj5/o5PiTz03ywKFNpfZd+tofb+jkvcrq9NOwD/i13yKSBoGbgXcD5wO7JJ0/bZdPtb5vZpaRYDIapba6dNSDjoj7JG2eEb4IOBYRjwNIuhPYIeko8Bngnoh4sJP3NTPrtgAmKDfEUZdejEFvBJ6c9noMuBj4BHAZsEbSGyLiltTBkvYAewCGGO5B88zMioJgMrPicbXdJIyIG4EbS+w3CowCjGhdXlfLzBa0Rga3iafrRYI+Dpw97fWmVqw0SduB7Ss8g8PMahLAZGYJuhe3jA8D50raImkZsBPYX+UEEXEgIvYsYVkPmmdmltYgSm116ShBS7oDuB84T9KYpN0RMQFcCxwCjgJ3RcQjnTfVzKx3ApiMKLXVpdNZHLvaxA8CB+d6Xg9xmFndgmA8syGO2m4SVhERB4ADI1p3db/bshilF6+0WcCxrDgM9fTFxdWFZy99thB7vlFccQgw2IMfkn4uQPHik3kiYDKv/JxngjYzq1sA9S1BKSfLBO0hDjOrn/q+1H+mLP/28iwOM6tbAI0ot9Ulyx60mVndAjidWZ81r9a0SNouaXSC0/1uipktIo1QqW02kvZKOiHp4WmxdZK+Jem/Wv9dO9t5skzQHuIws7o1VxKq1FbCPmZU+gSuA74dEecC3269PqMsE7SZWd0CMclAqW3Wc0XcBzw3I7wDuL319e3A+2Y7j8egzcxayj7YYY5eExFPtb5+GnjNbAdkmaA9zc7M6jY1xFHSBklHpr0ebVXiLPdeESFp1vkgWSZoryQ0s7oFYjxKp8STEbG14lv8j6TXRsRTkl4LnJjtAI9Bm5m1dPEmYcp+4COtrz8C/PNsB2TZgzYzq1uEulY3pVXp8500h0LGgE/TfOTfXZJ2A08AfzLbeZygzcxaGl1a6t2u0idwaZXzZJmgfZMwPxosVqgDOP2bxRvRZ73pmULslSjOaW873qeJQqgXFe7MpmveJMxr1Dev1rR4oYqZ1a85xFFmq0uWPWgzs7oFMB7pvxT7xQnazIxfrSTMiRO0mVlLI7On3zhBm5mR503CLBO0Z3GYWd0CMdnbWhyV5fXrosWzOMysbhHNqZ9ltrpk2YM2M6ufurZQpVucoM3MaI1B+yahmVmefJPQzCxDQbnnDdbJCdrMrMU9aMuLEh/IREyr0lMen3nzUCH25+fcW4i9a/h4ITaspclzjsdkIfZyFAsovRLFAkrjbW7yjCd6RuOJ8cZUrd92P7Rle1uDKv57OqgpXFlu46q5ahbs91JvM7PsBF5JWIoXqphZP9T5l00Zef26aPFCFTOrW4RoxECprS5Z9qDNzPoht/F6J2gzM1pj0JkNcThBm5nRmsXR8CwOM7MseR60mVmGvJLQzCxjDfegzczyE0F2BfudoM3MaA5xTPgmoZlZnnJbSVhbgpZ0DvC3wJqIuKqu913wUsWO2u5a8sM3mDjnQPp91v5ovBC74dvbC7H/eMsjhdjODQ8kz/nOoVcKsVUDxaJMvTCeKMr0YpxO7vtyoqjTK8miTOUKNUH5Yk1Vbmb1s1hTbgs/zqRZiyOvBN3R1ZO0V9IJSQ/PiG+T9JikY5KuA4iIxyNidyfvZ2bWO/kt9e70nfYB26YHJA0CNwPvBs4Hdkk6v8P3MTPruUbruYSzbXXpKEFHxH3AczPCFwHHWj3m08CdwI5O3sfMrNemZnGU2erSi776RuDJaa/HgI2S1ku6BbhQ0vXtDpa0R9IRSUfGOdWD5pmZFU3N4iiz1aW2m4QR8SxwTYn9RoFRgBGtKz4yw8ysR7o5fCHpr4CP07z/+EPgoxFRvAN+Br3oQR8Hzp72elMrZmaWralZHGW22UjaCPwFsDUiLgAGgZ1V29SLHvRh4FxJW2gm5p3AB6qcwE9UMbN+6PIMjSXACknjwDDw31VP0Ok0uzuA+4HzJI1J2h0RE8C1wCHgKHBXRBQnwZ6Bn6hiZrUr2Xsu04OOiOPAZ4GfAU8BL0TEN6s2qaMedETsahM/CByc63ndgzazulUs2L9B0pFpr0db988AkLSW5uy1LcDzwFclfSgivlylTVku9Y6IA8CBEa27ut9tMbPFIYCJRulBhZMRsfUM378M+ElEPAMg6WvA24D5n6DNzPqhi0u9fwb8nqRh4BfApcCRMx9SlGWC9hCHmdWtmwX7I+IBSXcDDwITwEO0pg9XkWUlE98kNLN+6OZS74j4dET8VkRcEBEfjojKK++y7EFbfUpXuBsvVq0DWPHTFwqx139jTSH20NHfLsS++7piDOD0q4vvNbzuF4XY5vUzqwzAm85KT7l/+6ofFWJ/MPS/hdjIwIpCbK3SPyZrk9FyGjSS8RcbxZ/hlxPV9F6J4hquVNU8gNOJfliqml6V5/GV7mkq/e/MUuRXzS7LBO0hDjOrW8WbhLXIqzUtHuIws7pNjUF3Yx50t2TZgzYz64fwEIeZWZ7qrPVcRpYJ2mPQZla3yPAmocegzcxaIlRqq0uWPWgzs/qJycxmcThBm5mR51O9naDNzACiOQ6dkywTtG8Smlk/5DaLI68BlxbfJDSzugW+SWhmlql6VwmW4QRtRYmBuDhVLNgDoOeeL8SGTxeLHQ09UxyuOr1uKHnOU2cVP5an1owUYmOri7GfrN6cPOdXV7+tEJtYM1mILT+r+NDl160tFoQCeOPapwqx3x8pFmW6ZLj4KLr1A+nhu1SxpuK/sppUYaayRZleajMmmyrMNJkYHqitKFOXNBpO0GZm2YnwUm8zs2x5iMPMLFOeZleCp9mZWT/kNsThaXZmZrgetJlZvnyT0MwsYx6DNjPLk3vQZmaZ8iwOM7MMTdXiyIkTtJkZNG8Seqn37DwP2sz6IrMhDs+DNjMDoFypUZcbtTR1//dpNIpdBlGs8han09XsaBQrpTFerGY38PIvCrGhZ5cnT7l8RTEew8Vf1hMrlxZjw+mP9MRw8dpNDA8WYuPDqwqxZxMxgH9ZtbEQu2f17xbfJ1E1b9m6YtU8gI3rni/E3rzueCF2ycijhdgfDhWPBVg1UKwa2Iuqeaei+P/9xVSFvEZxP4DxZDW8chXyuiazHrQTtJkZeKGKmVnWMkvQWY5Bm5n1RZTcSpB0lqS7Jf2npKOS3lq1Oe5Bm5lN6e4Y9OeBeyPiKknLgOGqJ3CCNjODVu+4O0McktYA7wD+DCAiTgNt7rS35yEOM7OW5mOvZt9K2AI8A/yjpIck3Sqp8sIOJ2gzsynlx6A3SDoybdsz40xLgN8BvhARFwIvAddVbY6HOMzMWlR+qffJiNh6hu+PAWMR8UDr9d3MIUHX1oOWtFLS7ZK+KOmDdb2vmVkpZXvPJYY4IuJp4ElJ57VClwLF1UWz6ChBS9or6YSkh2fEt0l6TNIxSVO/Nd4P3B0RVwPv7eR9zcy6T82bhGW2cj4BfEXSD4A3A39ftUWdDnHsA24CvjQVkDQI3AxcTrObf1jSfmAT8MPWbsW1r2Zm/dbFaXYR8X3gTMMgs+qoBx0R9wHPzQhfBByLiMdbU0vuBHbQTNabuvG+ZmY90cWFKt3Qi5uEG4Enp70eAy4GbgRuknQFcKAH77vwRaIwUacFlBLnjEbxnKkCSs19E5/WycS+4xPF2KlTyXPq5eLHUi8UY8uWJmLL0hUQY3lx31heLLbUSOw3ubxYVAlgcihRgGnF3IsyAZxcWYzfs3pTIbZ/9UXF91mbuMbA8Npioapz1j9biL1t/eOF2GWrHkme8y2Ja7dc5WLrO/zIvthIF5rqisVaLCkiXgI+Ott+rekqewCGqi+8MTObm6g0i6MWvRhqOA6cPe31plaslIgYjYitEbF1KelylGZmPZHZEEcvEvRh4FxJW1rrz3cC+6ucQNJ2SaMT1VdGmpktGJ1Os7sDuB84T9KYpN0RMQFcCxwCjgJ3RUR6IKsNP1HFzPpBUW6rS0dj0BGxq038IHBwruf1MwnNrC9cD3p27kGbWe0CaJTcauJaHGZmLXUOX5SRZYL2EIeZ9UVmCdpDHGZmUzKbZpdlD9rMrG51z9AowwnazGxKZrM4skzQHoM2s35QjTM0ysgyQUfEAeDAiNZd3e+2ZC9VQKndrmWLvCb+zmt3rAYSPY5EzZ5IFHXSqXRvJbUvg4njBxNFjFIxQInCSlpSjA0kjl+yrFjwB4DEOWNZMdZIFBaKZW0KMK0oxieHirGJRKGm8ZXpH+fxlSOF2BOJ2LHVWwqxW8/6o+Q546zxQmz9hp8XYhesf7oQu2Tt0eQ5Lx/+aSH2G4PF4lGrBoaSx3eFhzjMzDLkMWgzs4w5Qc/OY9Bm1heZJWjPgzYza1lQxZLMzBaUzHrQTtBmZuCbhGZmWXOCnp1vEppZX2SWoH2T0MwMEL5JaGaWp/BSbzOzfGU2xOEEbWY2xQnazCxPnmZXgmdx9FkvKuRR3DFZta6CZCW9NucsvW9iv2TVPIBENbzUvoNLEscvTVfIS1bOS8SSVfMSMYDGimI8VSFvMlUhbzh9PceHizfwx1dtKMQOJ2L/PnJB8pyfXlssg7hs3SuF2Os3PJc8Hj7XJl5BZgnaszjMzKD84648i8PMrH65zeLIsgdtZtYP3Z4HLWlQ0kOSvjGX9jhBm5lN6f4QxyeB9CNkSnCCNjODro9BS9oEXAHcOtcmOUGbmdFa6l1yK+lzwN8Acx7ZdoI2M5tSvge9QdKRadue6aeRdCVwIiK+10lzPIvDzKylwiyOkxGx9QzffzvwXknvAYaAEUlfjogPVWlPlj1oSdsljU5wut9NMbPFpEtj0BFxfURsiojNwE7gX6smZ8g0QXuhipnVruQUO5cbNTPrhx4k34j4DvCduRzrBG1m1uJiSWZTKhRlSh6eLNSUrt7USWGmZKGl5jfK7VuyKBO0KcxUtihTqtASMJjYd+ny4vBhlCzKBBBDqQJM5YoyTbQrwLSyuO/48KpC7OlVxVi35LbU2wnazAxqL4RUhhO0mdkUJ2gzs/xMPTQ2J07QZmZTnKDNzPKkyCtDO0GbmUFzoUpmszhqW0ko6RxJt0m6u673NDOrJLNHXpVK0JL2Sjoh6eEZ8W2SHpN0TNJ1ZzpHRDweEbs7aayZWS/N16Xe+4CbgC9NBSQNAjcDlwNjwGFJ+4FB4IYZx38sIk503Fozs17Kawi6XIKOiPskbZ4Rvgg4FhGPA0i6E9gRETcAV3a1lWZmvVZz77iMTsagNwJPTns91oolSVov6RbgQknXn2G/PVNFsMc51UHzzMzKE82bhGW2utQ2iyMingWuKbHfKDAKMKJ1mf0+M7MFbQFNszsOnD3t9aZWrGOStgPbV7CyG6czMysltyGOThL0YeBcSVtoJuadwAe60aiIOAAcGNG6q7txPrNOKuelq+ZBqnJe2ap57SrkJfNDJ1XzAAYTx6eq5iViA0vbpIilxcp3g6l9E/vFULrqXqpyXiOx7+SKRNu7IcNiSWWn2d0B3A+cJ2lM0u6ImACuBQ4BR4G7IuKR3jXVzKy35uUYdETsahM/CBzsaovwEIeZ9cl87EHXzc8kNLPaBagRpba6uBaHmVnLQrpJ2DMe4jCzvsgsQXuIw8yMXxXsn4+1OMzMFraIBbVQpWc8xGFm/ZDbGLSHOMzMWublPGgzswUvgBqn0JXhBG1mNiWv/JxngvYYtJn1Q25j0FkmaBdLsnmrZFGm9gWYUuZelAnShZU6KsoEycJKZQswpYo3AQwkCisNLCmmqCXLe3hvyrM4zMwylOFTvZ2gzcyYWqiSVw86y2l2ZmZ90Si5zULS2ZL+TdKjkh6R9Mm5NCfLHrRvEppZP3SxBz0B/HVEPChpNfA9Sd+KiEernCTLHrQXqphZ7aLCNtupIp6KiAdbX/+c5kNN2j5Uu50se9BmZvWrVItjg6Qj016Pth54XSBpM3Ah8EDVFjlBm5m1VCjGfzIits56PmkV8E/AX0bE/1VtjxO0mRl0fZqdpKU0k/NXIuJrczmHE7SZ2ZQu3SSUJOA24GhE/MNcz5PlTUJJ2yWNTnC6300xs8WkSzcJgbcDHwYukfT91vaeqs3Jsgftpd5m1g/dmmYXEd+lufalI1kmaDOzvshsJaETtNl8VLIoE1QozJQo5db22PGJ4uGpwkoVCjAlC0AlCitpoDcjs4pAk07QZmZ5cg/azCxTTtBmZhkKShVCqpMTtJlZS27lRp2gzcwACGjk1YXOMkG73KiZ1S7Ibgw6y5WELjdqZn3RpYL93ZJlD9rMrB88Bm1mlisnaDOzDAVQvh50LZygzcwAz+IwM8uZhzjMzDLkIQ4zy1aFCnnJw5OV74rBZNW6NlKV73qXQqPja9BtTtBmZlM8xGFmlqHFPMQh6X3AFcAIcFtEfLOu9zYzKyWzWRylBoMk7ZV0QtLDM+LbJD0m6Zik6850joj4ekRcDVwD/Oncm2xm1gvRHOIos9WkbA96H3AT8KWpgKRB4GbgcmAMOCxpPzAI3DDj+I9FxInW159qHWdmlo8gux50qQQdEfdJ2jwjfBFwLCIeB5B0J7AjIm4Arpx5DkkCPgPcExEPdtRqM7NeWEA3CTcCT057PQZcfIb9PwFcBqyR9IaIuCW1k6Q9wB6AIYY7aJ6ZWUULKEFXEhE3AjeW2G8UGAUY0bq8rpaZLVwRxGTZR6DXo5MEfRw4e9rrTa1Yx1yw38z6IrNpdp0U7D8MnCtpi6RlwE5gfzca5YL9ZtYXmc3iKDvN7g7gfuA8SWOSdkfEBHAtcAg4CtwVEY/0rqlmZj0UrWp2ZbaalJ3FsatN/CBwsKstwkMcZtYnmd0k9DMJzcxaotEotdXFtTjMzKDZe57Ma6FKlj1oSdsljU5wut9NMbPFJBrlthKqlMJoJ8sE7SEOM6tbANGIUttsppXCeDdwPrBL0vlV25RlgjYzq11EN3vQvyyFERGngTuBHVWblOUYtGdxmFk/lOkdl1S1FEaSIrNpJdNJegZ4ovVyDfBCm11T35trbANwsnJjqzvTv6fbx8+2b9Vr2y4+M9ava5t6714dW2bfbnx2U3F/dn/9+6+PiFfNtVGS7qV5DcsYAl6Z9nq0VaZi6lxXAdsi4uOt1x8GLo6Iays1KiLmxda6AKW/N9cYcKTf/55uHz/bvlWvbYVr2Zdr2+n17ea1ncv1LXvN/dntvC09vEZvBQ5Ne309cH3V88ynMegDFb/XSawOnb5vleNn27fqtW0Xnxnr17Xt9L27eW1n26fKZzKX6ztfPrv91JVSGFkPcfSDpCMRsbXf7ViIfG17y9c3L5LeA3yO5kNM9kbE31U9R5Y3CftsdPZdbI58bXvL1zcj0YVSGO5Bm5llaj6NQZuZLSpO0GZmmXKCNjPLlBN0BZLOkXSbpLv73ZaFQNJKSbdL+qKkD/a7PQuNP6/z36JJ0JL2Sjoh6eEZ8dIVp6K5rn53b1s6v1W8zu8H7o6Iq4H31t7YeajK9fXndf5bNAka2Adsmx5oV3FK0hslfWPG9ur6mzwv7aPkdab5oOGpegV5PU45X/sof31tnls086Aj4j5Jm2eEf1lxCkDSncCOiLgBuLLmJi4IVa4zzQIym4Dvs7g6C3NW8fo+WnPzrMsW+w9FquLUxnY7S1ov6RbgQknX97pxC0i76/w14I8lfYF8l+zOB8nr68/r/LdoetDdEBHPAtf0ux0LRUS8BHy03+1YqPx5nf8Wew/6OHD2tNebWjHrLl/n3vL1XaAWe4LuSsUpm5Wvc2/5+i5QiyZBS7oDuB84T9KYpN0RMQFcCxwCjgJ3RcQj/WznfOfr3Fu+vouLiyWZmWVq0fSgzczmGydoM7NMOUGbmWXKCdrMLFNO0GZmmXKCNjPLlBO0mVmmnKDNzDLlBG1mlqn/B8XMHJ/tGMEpAAAAAElFTkSuQmCC\n", + "text/plain": [ + "<Figure size 432x288 with 2 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.pcolormesh(Grange[0]/Deltarange[0], Deltarange, num_even, shading='auto', cmap='viridis', vmin=0, vmax=11)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "36413363", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + }, + "latex_envs": { + "LaTeX_envs_menu_present": true, + "autoclose": false, + "autocomplete": true, + "bibliofile": "biblio.bib", + "cite_by": "apalike", + "current_citInitial": 1, + "eqLabelWithNumbers": true, + "eqNumInitial": 1, + "hotkeys": { + "equation": "Ctrl-E", + "itemize": "Ctrl-I" + }, + "labels_anchors": false, + "latex_user_defs": false, + "report_style_numbering": false, + "user_envs_cfg": false + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Tests/test2.ipynb b/Tests/test2.ipynb new file mode 100644 index 0000000..f947a10 --- /dev/null +++ b/Tests/test2.ipynb @@ -0,0 +1,2639 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "466e6e45", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from qutip import * \n", + "\n", + "import scipy.sparse as spr\n", + "import block_diagonalize\n", + "import time\n", + "import os\n", + "import pickle\n", + "import matplotlib.image as mpimg\n", + "\n", + "\n", + "from matplotlib.colors import LinearSegmentedColormap \n", + "import matplotlib.colors as colors\n", + "greiner = { 'red': ((0., 1, 1,), (.2, 0, 0), (.48, 0, 0), (.728, 1, 1), (0.912, 1, 1), (1, .5, .5)),\n", + " 'green': ((0., 1, 1), (.2, 0, 0), (.3, 0, 0), (.5, 1, 1), (.712, 1, 1), (.928, 0, 0), (1, 0, 0)),\n", + " 'blue': ((0., 1, 1), (.2, .5, .5), (.288, 1, 1), (.472, 1, 1), (.72, 0, 0), (1, 0, 0)) }\n", + "greiner = LinearSegmentedColormap('greiner', greiner)" + ] + }, + { + "cell_type": "markdown", + "id": "25e250bd", + "metadata": {}, + "source": [ + "# First order PT with symmetry breaking \n", + "\n", + "We take: \n", + "\n", + "$$\n", + "U=\\tilde{U} / N, \\quad \\eta=\\tilde{\\eta} / N\n", + "$$\n", + "\n", + "within the Hamiltonian \n", + "\n", + "$$\n", + "\\hat{H}=-\\Delta \\hat{a}^{\\dagger} \\hat{a}+\\frac{U}{2}\\hat{a}^{\\dagger^2} \\hat{a}^2 + \\frac{G}{2} \\left[\\hat{a}^{{\\dagger}^2} + \\hat{a}^{\\dagger^2}\\right]\n", + "$$\n", + "\n", + "We conider both one- and two-photon decay. For $\\Delta > 0$ there is a first-order phase transition associated to a symmetry broken phase, example which seems in contrast with our general theory. The symmetry is broken because of the one-photon dissipation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "12b14f7f", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bb1fd10c", + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(30)\n", + "\n", + "γ = 1\n", + "ηtilde = 1\n", + "Utilde = 10\n", + "Δ = 10\n", + "\n", + "Grange = np.linspace(0,15,15)*γ\n", + "\n", + "gap = np.zeros(Grange.size)\n", + "n = np.zeros(Grange.size)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2b01d874", + "metadata": {}, + "outputs": [], + "source": [ + "Nvals = np.array([1,5,10,20])\n", + "\n", + "fig,ax = plt.subplots(1,2, figsize=(15,5))\n", + "ax[0].set_xlabel(r\"$G/\\eta$\")\n", + "ax[0].set_ylabel(r\"$\\langle{a^{\\dagger} a}\\rangle/N$\")\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].set_xlabel(r\"$G/\\eta$\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1/\\eta)$\");\n", + "\n", + "for j in range(Nvals.size):\n", + " N = Nvals[j]\n", + " η = ηtilde/N\n", + " U = Utilde/N\n", + " c_ops=[np.sqrt(η)*a**2, np.sqrt(γ)*a]\n", + "\n", + " for i in range(Grange.size):\n", + " G = Grange[i]\n", + " H = -Δ*a.dag()*a + G/2*(a.dag()**2 + a**2) + U/2*(a.dag()**2 * a**2)\n", + " LL=liouvillian(H, c_ops)\n", + "\n", + " evals, evecs = LL.eigenstates()\n", + "\n", + " gap[i] = -np.real(evals[-2])#-np.abs(evals[-1])\n", + " n[i] = np.abs((vector_to_operator(evecs[-1]) * (a.dag()*a)).tr())\n", + " print(\"\\rCompleted %d/%d\"%(i+1,Grange.size),end=\"\")\n", + " \n", + " ax[0].plot(Grange/γ,n/N, '.-')\n", + " ax[1].plot(Grange/γ,gap/η, '.-')\n", + " print(\"\\rCompleted %d/%d\"%(j+1,Nvals.size),end=\"\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bd572225", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c1548313", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c10aab12", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a967f6f9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "8f886292", + "metadata": {}, + "source": [ + "# Symmetry-preserving 1st order PT\n", + "\n", + "In this case we look at the model \n", + "\n", + "$$\n", + "\\hat{H}=-\\Delta \\hat{a}^{\\dagger} \\hat{a}+\\frac{U}{2}\\hat{a}^{\\dagger^2} \\hat{a}^2 + \\frac{G}{2} \\left[\\hat{a}^{{\\dagger}^2} + \\hat{a}^{\\dagger^2}\\right]\n", + "$$\n", + "\n", + "with\n", + "\n", + "$$\n", + "U=\\tilde{U} / N, \\quad \\eta=\\tilde{\\eta} / N\n", + "$$\n", + "\n", + "and two-photon dissipation $\\eta\\mathrm{D}\\left[a^2\\right]$.\n", + "\n", + "Here we have a strong-parity symmetry which is preserved in the 1st order PT. In particular we have a 1st order PT for each of the two NESS with opposite parity: within each parity sector we have a level touching with subsequent PT.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "375b8dd0", + "metadata": {}, + "source": [ + "### General example\n", + "\n", + "We are interested in the PT in $G$. In the following we observe for $\\tilde\\eta = 1$, $\\tilde U/\\tilde\\eta = \\Delta/\\tilde\\eta = 10$ and $N=10$ a typical 1st order PT in both NESS.\n", + "\n", + "The level touching is observable in both symmetry sectors. \n", + "\n", + "The question is: how does the hysteresys area change in the remaining parameters ($\\Delta$, $U$)?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fc227a61", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "30b74167", + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(30)\n", + "\n", + "ηtilde = 1\n", + "Utilde = 10\n", + "Δ = 10\n", + "\n", + "Grange = np.linspace(0.1,8,35)\n", + "\n", + "N = 10\n", + "η = ηtilde/N\n", + "U = Utilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "28ebc4a6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Completed 35/35\n", + "Time: 33.25240898132324\n" + ] + } + ], + "source": [ + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()\n", + "\n", + "num_even = np.zeros(Grange.size)\n", + "num_odd = np.zeros(Grange.size)\n", + "gap_even = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_even_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd_even = np.zeros(Grange.size, dtype='complex')\n", + "evals_list = []\n", + "\n", + "t1 = time.time()\n", + "for g in range(Grange.size):\n", + " H = -Δ*a.dag()*a + Grange[g]/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + " LL = liouvillian(H, c_ops)\n", + " \n", + " P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + " bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + " num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) \n", + " \n", + " num_keep = 15\n", + " evals_keep = np.zeros((num_blocks, num_keep), dtype='complex')\n", + " \n", + " done=False\n", + " for i in range(int(len(blocks_list))):\n", + " block = blocks_list[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + " evals_keep[i,:] = evals[-num_keep:]\n", + " \n", + " ss_block_form = evecs[-1]\n", + " evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex)\n", + " evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data\n", + " evec2 = evec2.tocsr()\n", + " evec2 = np.dot(np.transpose(P),evec2)\n", + " ss= Qobj(evec2, dims=[LL.dims[0], [1]])\n", + " ss=vector_to_operator(ss)\n", + "\n", + " if np.real(ss.tr())>0.05:\n", + " ss=ss+ss.dag()\n", + " ss/=(ss.tr()) \n", + " if expect(parity, ss)>0.5:\n", + " num_even[g] = expect(ss, a.dag()*a)\n", + " gap_even[g] = evals[-2]\n", + " else:\n", + " num_odd[g] = expect(ss, a.dag()*a) \n", + " gap_odd[g] = evals[-2]\n", + " elif done==False:\n", + " gap_even_odd[g] = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1]))\n", + " gap_odd_even[g] = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) \n", + " done=True\n", + " evals_list.append(evals_keep)\n", + " print(\"\\rCompleted %d/%d\"%(g+1,Grange.size),end=\"\")\n", + "print(\"\\nTime:\",time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "bfe6d8e7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "<Figure size 2160x648 with 3 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,3, figsize=(30,9))\n", + "\n", + "ax[0].plot(Grange, num_even/N, 'bo-', ms=5, label=\"even\")\n", + "ax[0].plot(Grange, num_odd/N, 'rs-', ms=5, label=\"odd\")\n", + "\n", + "#ax[0].set_xscale(\"log\")\n", + "ax[0].set_xlabel(r\"$G\\,/\\,\\tilde{\\eta}$\")\n", + "ax[0].set_ylabel(r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0].legend()\n", + "\n", + "\n", + "ax[1].plot(Grange, -np.real(gap_even), 'bo-', ms=5, label=\"even\")\n", + "ax[1].plot(Grange, -np.real(gap_odd), 'rs-', ms=5, label=\"odd\")\n", + "ax[1].axhline(1, c='k', ls='--')\n", + "\n", + "#ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax[1].set_xlabel(r\"$G\\,/\\,\\tilde\\eta$\")\n", + "ax[1].legend()\n", + "\n", + "\n", + "ax[2].plot(Grange, -np.real(gap_even_odd), 'g^-')\n", + "ax[2].plot(Grange, -np.real(gap_odd_even), 'yh-')\n", + "ax[2].set_xlabel(r\"$G\\,/\\,\\tilde\\eta$\")\n", + "\n", + "#ax[2].set_xscale(\"log\")\n", + "ax[2].set_yscale('log')\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"PL_Delta=Utilde=10_N=10.png\", dpi=500)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "75c91a3d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "269ac485", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "f5b4e87e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "<video width=\"432\" height=\"288\" controls autoplay loop>\n", + " <source type=\"video/mp4\" src=\"data:video/mp4;base64,AAAAIGZ0eXBNNFYgAAACAE00ViBpc29taXNvMmF2YzEAAAAIZnJlZQABcmhtZGF0AAAAXmW4AAQA\n", + 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'yx', 'cs']\n", + "parity_list=['+,+', '+,--', '--,+', '--,--']\n", + "\n", + "# First set up the figure, the axis, and the plot element we want to animate\n", + "lines = []\n", + "\n", + "fig = plt.figure();\n", + "ax = plt.axes(xlim=(5e-15, 25), ylim=(-40, 40));\n", + "ax.set_xscale(\"log\")\n", + "ax.set_xlabel(r\"$-\\Re(\\lambda_1)$ [$\\tilde\\eta$]\")\n", + "ax.set_ylabel(r\"$\\Im(\\lambda_1)$ [$\\tilde\\eta$]\")\n", + "\n", + "for j in range(num_blocks):\n", + " temp_line, = ax.plot([], [], style_list[j], label=parity_list[j]);\n", + " lines.append(temp_line);\n", + "\n", + "# Initialization function: plot the background of each frame\n", + "def init():\n", + " for j in range(len(lines)):\n", + " lines[j].set_data([], []);\n", + " return lines\n", + "\n", + "# Animation function which updates figure data. This is called sequentially\n", + "def animate(i):\n", + " for j in range(num_blocks):\n", + " lines[j].set_data(np.abs(np.real(evals_list[i][j,:])), np.imag(evals_list[i][j,:]));\n", + " return lines\n", + "\n", + "# Call the animator. blit=True means only re-draw the parts that have changed.\n", + "anim = animation.FuncAnimation(fig, animate, init_func=init,\n", + " frames=Grange.size, interval=200, blit=True);\n", + "\n", + "ax.legend()\n", + "plt.close(anim._fig);\n", + "\n", + "# Call function to display the animation\n", + "#anim.save('spectrum.gif',dpi=300);\n", + "HTML(anim.to_html5_video())" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e6242fc5", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "63fa2557", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "540f7b9f", + "metadata": {}, + "source": [ + "### Phase diagrams \n", + "\n", + "We explore the dependence of the \"Dicke\" phase on $\\Delta$ and $U$." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "18ee4130", + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(30)\n", + "\n", + "ηtilde = 1\n", + "Δrange = np.linspace(0,20,31)\n", + "Utilderange = np.linspace(0,20,30)\n", + "G = 3.5*ηtilde\n", + "\n", + "N = 10\n", + "η = ηtilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bdf0cc84", + "metadata": {}, + "outputs": [], + "source": [ + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()\n", + "\n", + "num_even = np.zeros((Utilderange.size, Δrange.size))\n", + "num_odd = np.zeros((Utilderange.size, Δrange.size))\n", + "gap_even = np.zeros((Utilderange.size, Δrange.size), dtype='complex')\n", + "gap_odd = np.zeros((Utilderange.size, Δrange.size), dtype='complex')\n", + "gap_even_odd = np.zeros((Utilderange.size, Δrange.size), dtype='complex')\n", + "gap_odd_even = np.zeros((Utilderange.size, Δrange.size), dtype='complex')\n", + "\n", + "t1 = time.time()\n", + "for k in range(Utilderange.size):\n", + " Utilde = Utilderange[k]\n", + " U = Utilde/N\n", + "\n", + " for j in range(Δrange.size):\n", + " Δ = Δrange[j]\n", + "\n", + " H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + " LL = liouvillian(H, c_ops)\n", + "\n", + " P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + " bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + " num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) \n", + " \n", + " done=False\n", + " for i in range(int(len(blocks_list))):\n", + " block = blocks_list[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + "\n", + " ss_block_form = evecs[-1]\n", + " evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex)\n", + " evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data\n", + " evec2 = evec2.tocsr()\n", + " evec2 = np.dot(np.transpose(P),evec2)\n", + " ss= Qobj(evec2, dims=[LL.dims[0], [1]])\n", + " ss=vector_to_operator(ss)\n", + "\n", + " if np.real(ss.tr())>0.05:\n", + " ss=ss+ss.dag()\n", + " ss/=(ss.tr()) \n", + " if expect(parity, ss)>0.5:\n", + " num_even[k,j] = expect(ss, a.dag()*a)\n", + " gap_even[k,j] = evals[-2]\n", + " else:\n", + " num_odd[k,j] = expect(ss, a.dag()*a) \n", + " gap_odd[k,j] = evals[-2]\n", + " elif done==False:\n", + " gap_even_odd[k,j] = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1]))\n", + " gap_odd_even[k,j] = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) \n", + " done=True\n", + "\n", + " print(\"\\rCompleted (%d/%d) -> %d/%d \"%(k,Utilderange.size, j+1,Δrange.size),end=\"\")\n", + "print(\"\\nTime:\",time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e2e2b274", + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(1,2, figsize=(15,5))\n", + "\n", + "im0 = ax[0].pcolormesh(Δrange, Utilderange, num_even/N, shading='gouraud', cmap=greiner)\n", + "#ax[0].plot(Δrange, Δrange**(2)/N)\n", + "ax[0].plot(Δrange, Δrange**(1))\n", + "fig.colorbar(im0, ax=ax[0], label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "\n", + "ax[0].set_xlabel(r\"$\\Delta$ [$\\tilde\\eta$]\")\n", + "ax[0].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax[0].set_ylim(0,20)\n", + "ax[0].set_xlim(0,20)\n", + "\n", + "\n", + "im1 = ax[1].pcolormesh(Δrange, Utilderange, np.gradient(num_even, axis=1)/N, shading='gouraud', cmap=greiner)\n", + "ax[1].plot(Δrange, Δrange**(2)/N)\n", + "ax[1].plot(Δrange, Δrange**(1))\n", + "fig.colorbar(im1, ax=ax[1],label=r\"$\\partial_{\\tilde U}\\,\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "\n", + "ax[1].set_xlabel(r\"$\\Delta$ [$\\tilde\\eta$]\")\n", + "ax[1].set_ylabel(r\"$\\tilde U$ [$\\tilde\\eta$]\")\n", + "ax[1].set_ylim(0,20)\n", + "ax[1].set_xlim(0,20);\n", + "\n", + "\n", + "#plt.contour(Δrange, Utilderange, gaussian_filter(num_even/N,1), colors='k', alpha=0.3)#, levels=contours)\n", + "#plt.contour(Δrange, Utilderange, num_even/N, colors='k', alpha=0.25)#, levels=contours)\n", + "#plt.savefig(\"Utilde_Delta_PD_v1.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "36d60d3c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "93c8b23c", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2c48075b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "689ba054", + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(30)\n", + "\n", + "ηtilde = 1\n", + "\n", + "Δrange = np.geomspace(1e-2, 1e2, 31)\n", + "Grange = np.geomspace(1e-2,1e2,30)\n", + "\n", + "N = 10\n", + "η = ηtilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b7ed719b", + "metadata": {}, + "outputs": [], + "source": [ + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()\n", + "\n", + "num_even = np.zeros((Δrange.size, Grange.size))\n", + "num_odd = np.zeros((Δrange.size, Grange.size))\n", + "gap_even = np.zeros((Δrange.size, Grange.size), dtype='complex')\n", + "gap_odd = np.zeros((Δrange.size, Grange.size), dtype='complex')\n", + "gap_even_odd = np.zeros((Δrange.size, Grange.size), dtype='complex')\n", + "gap_odd_even = np.zeros((Δrange.size, Grange.size), dtype='complex')\n", + "\n", + "t1 = time.time()\n", + "for k in range(Δrange.size):\n", + " Δ = Δrange[k]\n", + " Utilde = Δ\n", + " U = Utilde/N\n", + "\n", + " for j in range(Grange.size):\n", + " G = Grange[j]*Δ\n", + " \n", + " H = -Δ*a.dag()*a + G/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + " LL = liouvillian(H, c_ops)\n", + "\n", + " P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + " bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + " num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) \n", + " \n", + " done=False\n", + " for i in range(int(len(blocks_list))):\n", + " block = blocks_list[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + "\n", + " ss_block_form = evecs[-1]\n", + " evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex)\n", + " evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data\n", + " evec2 = evec2.tocsr()\n", + " evec2 = np.dot(np.transpose(P),evec2)\n", + " ss= Qobj(evec2, dims=[LL.dims[0], [1]])\n", + " ss=vector_to_operator(ss)\n", + "\n", + " if np.real(ss.tr())>0.05:\n", + " ss=ss+ss.dag()\n", + " ss/=(ss.tr()) \n", + " if expect(parity, ss)>0.5:\n", + " num_even[k,j] = expect(ss, a.dag()*a)\n", + " gap_even[k,j] = evals[-2]\n", + " else:\n", + " num_odd[k,j] = expect(ss, a.dag()*a) \n", + " gap_odd[k,j] = evals[-2]\n", + " elif done==False:\n", + " gap_even_odd[k,j] = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1]))\n", + " gap_odd_even[k,j] = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) \n", + " done=True\n", + "\n", + " print(\"\\rCompleted (%d/%d) -> %d/%d \"%(k,Δrange.size, j+1,Utilderange.size),end=\"\")\n", + "print(\"\\nTime:\",time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "65ea2c81", + "metadata": {}, + "outputs": [], + "source": [ + "plt.xscale(\"log\")\n", + "plt.yscale(\"log\")\n", + "\n", + "plt.pcolormesh(Grange, Δrange, (num_even/N), shading='gouraud', vmax=1.4, cmap='viridis')\n", + "plt.xlabel(r\"$G\\,/\\,\\Delta$\")\n", + "plt.ylabel(r\"$\\Delta\\,=\\,\\tilde U$ [$\\tilde\\eta$]\")\n", + "plt.colorbar(label=r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "\n", + "#plt.contour(Grange, Δrange, gaussian_filter(num_even/N,2), colors='k', alpha=0.3)#, levels=contours)\n", + "#plt.contour(Grange, Δrange, num_even/N, 4, colors='k', alpha=0.25)#, levels=contours)\n", + "#plt.savefig(\"G_Delta=Utilde_PD_v2.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dfe2e1ed", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0ef04a03", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ded378b7", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c9f86334", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a3946cf1", + "metadata": {}, + "outputs": [], + "source": [ + "a=destroy(30)\n", + "\n", + "ηtilde = 1\n", + "Utilde = 5\n", + "Δ = 10\n", + "\n", + "Grange, dG = np.linspace(0.1,14,75, retstep=True)*ηtilde\n", + "\n", + "N = 10\n", + "η = ηtilde/N\n", + "U = Utilde/N\n", + "\n", + "c_ops=[np.sqrt(η)*a**2]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a9decc16", + "metadata": {}, + "outputs": [], + "source": [ + "parity=1.j*np.pi*a.dag()*a\n", + "parity=parity.expm()\n", + "\n", + "num_even = np.zeros(Grange.size)\n", + "num_odd = np.zeros(Grange.size)\n", + "gap_even = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_even_odd = np.zeros(Grange.size, dtype='complex')\n", + "gap_odd_even = np.zeros(Grange.size, dtype='complex')\n", + "evals_list = []\n", + "\n", + "t1 = time.time()\n", + "for g in range(Grange.size):\n", + " H = -Δ*a.dag()*a + Grange[g]/2 *(a.dag()**2 +a**2) + U/2 *a.dag()**2*a**2\n", + " LL = liouvillian(H, c_ops)\n", + " \n", + " P, block_bfs, block_sizes = block_diagonalize.PermMat(LL)\n", + " bd_L = np.dot(P, np.dot(LL.data, np.transpose(P)))\n", + " num_blocks, blocks_list, bl_indices = block_diagonalize.get_blocks(bd_L) \n", + " \n", + " num_keep = 15\n", + " evals_keep = np.zeros((num_blocks, num_keep), dtype='complex')\n", + " \n", + " done=False\n", + " for i in range(int(len(blocks_list))):\n", + " block = blocks_list[i]\n", + " evals, evecs = Qobj(block).eigenstates() \n", + " evals_keep[i,:] = evals[-num_keep:]\n", + " \n", + " ss_block_form = evecs[-1]\n", + " evec2 = spr.dok_matrix((LL.shape[0], 1), dtype=np.complex)\n", + " evec2[bl_indices[i]:bl_indices[i]+blocks_list[i].shape[0]] = ss_block_form.data\n", + " evec2 = evec2.tocsr()\n", + " evec2 = np.dot(np.transpose(P),evec2)\n", + " ss= Qobj(evec2, dims=[LL.dims[0], [1]])\n", + " ss=vector_to_operator(ss)\n", + "\n", + " if np.real(ss.tr())>0.05:\n", + " ss=ss+ss.dag()\n", + " ss/=(ss.tr()) \n", + " if expect(parity, ss)>0.5:\n", + " num_even[g] = expect(ss, a.dag()*a)\n", + " gap_even[g] = evals[-2]\n", + " else:\n", + " num_odd[g] = expect(ss, a.dag()*a) \n", + " gap_odd[g] = evals[-2]\n", + " elif done==False:\n", + " gap_even_odd[g] = np.real(evals[-1])+1.j*np.abs(np.imag(evals[-1]))\n", + " gap_odd_even[g] = np.real(evals[-1])-1.j*np.abs(np.imag(evals[-1])) \n", + " done=True\n", + " evals_list.append(evals_keep)\n", + " print(\"\\rCompleted %d/%d\"%(g+1,Grange.size),end=\"\")\n", + "print(\"\\nTime:\",time.time()-t1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "89a3ea87", + "metadata": {}, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(1,3, figsize=(30,9))\n", + "\n", + "ax[0].plot(Grange, num_even/N, 'bo-', ms=5, label=\"even\")\n", + "ax[0].plot(Grange, num_odd/N, 'rs-', ms=5, label=\"odd\")\n", + "\n", + "#ax[0].set_xscale(\"log\")\n", + "ax[0].set_xlabel(r\"$G\\,/\\,\\tilde{\\eta}$\")\n", + "ax[0].set_ylabel(r\"$\\langle a^{\\dagger} a\\rangle\\,/\\,N$\")\n", + "ax[0].legend()\n", + "\n", + "\n", + "ax[1].plot(Grange, -np.real(gap_even), 'bo-', ms=5, label=\"even\")\n", + "ax[1].plot(Grange, -np.real(gap_odd), 'rs-', ms=5, label=\"odd\")\n", + "ax[1].axhline(1, c='k', ls='--')\n", + "\n", + "#ax[1].set_xscale(\"log\")\n", + "ax[1].set_yscale(\"log\")\n", + "ax[1].set_ylabel(r\"$-\\Re(\\lambda_1)\\,/\\,\\tilde\\eta$\")\n", + "ax[1].set_xlabel(r\"$G\\,/\\,\\tilde\\eta$\")\n", + "ax[1].legend()\n", + "\n", + "\n", + "ax[2].plot(Grange, -np.real(gap_even_odd), 'g^-')\n", + "ax[2].plot(Grange, -np.real(gap_odd_even), 'yh-')\n", + "ax[2].set_xlabel(r\"$G\\,/\\,\\tilde\\eta$\")\n", + "\n", + "#ax[2].set_xscale(\"log\")\n", + "ax[2].set_yscale('log')\n", + "\n", + "fig.tight_layout()\n", + "#fig.savefig(\"PL_Delta=Utilde=10_N=10.pdf\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6394fce7", + "metadata": {}, + "outputs": [], + "source": [ + "dGnum_even = np.gradient(num_even,dG)/N\n", + "dGnum_odd = np.gradient(num_odd,dG)/N\n", + "\n", + "plt.plot(Grange, dGnum_even, '.-')\n", + "plt.plot(Grange, dGnum_odd, '.-')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9f9de67b", + "metadata": {}, + "outputs": [], + "source": [ + "overlap = (dGnum_even*dGnum_odd).sum()*dG/np.sqrt((dGnum_even**2).sum()*dG)/np.sqrt((dGnum_odd**2).sum()*dG)\n", + "print(overlap)\n", + "\n", + "M = Grange[np.argmax(dGnum_even)] - Grange[np.argmax(dGnum_odd)]\n", + "m = 0.5*(Grange[np.argmax(dGnum_even)] + Grange[np.argmax(dGnum_odd)])\n", + "print(M,m,M/m)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5f12a50d", + "metadata": {}, + "outputs": [], + "source": [ + "plt.plot(Grange, num_even/N, 'bo-', ms=5, label=\"even\")\n", + "plt.plot(Grange+M, num_odd/N-1/N, 'rs-', ms=5, label=\"odd\")\n", + "plt.axvline(m)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1c932396", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9a8214ad", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2ed104db", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "371fe39b", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "455a526c", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.8" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} -- GitLab