{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Resonator and TLS - the quantum Rabi model" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2022-10-24T14:08:22.337014Z", "start_time": "2022-10-24T14:08:21.181813Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import scipy as sc\n", "import scipy.special as sp\n", "import scipy.constants as pyc\n", "\n", "from bfqcircuits.core import resonator_TLS as rtls\n", "\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "restls = rtls.ResonatorTLS()\n", "fig = restls.show_formulas()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Symmetric quantum Rabi model" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2022-10-24T14:08:23.999615Z", "start_time": "2022-10-24T14:08:23.989339Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ℏωᵣ = 5.0000e+00\n", "ℏωₐ = 4.0000e+00\n", "ℏωₐ_x = 0.0000e+00\n", "ℏωₐ_y = 0.0000e+00\n", "ℏωₐ_z = 4.0000e+00\n", "ℏg = 1.0000e-01\n", "RWA = False\n", "\n" ] } ], "source": [ "wr = 5.0\n", "wa_x = 0.0\n", "wa_y = 0.0\n", "wa_z = 4.0\n", "g = 100e-3\n", "RWA = False\n", "Nr = 50\n", "\n", "restls.set_parameters(wr=wr, wa_x=wa_x, wa_y=wa_y, wa_z=wa_z, g=g, RWA=RWA, Nr=Nr)\n", "print(restls.__repr__())" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 3.99118983 5.00880995 8.98253153 10.01746781]\n" ] } ], "source": [ "restls.diagonalize_hamiltonian()\n", "restls.substract_groundstate_energy()\n", "print(restls.E[:5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TLS frequency sweep\n", "- the program is designed for 1D sweeps of the system parameters" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2022-10-24T14:10:08.858503Z", "start_time": "2022-10-24T14:10:01.476603Z" } }, "outputs": [], "source": [ "restls.sweep_parameter(np.linspace(4.0, 6.0, 201), \"wa_z\")\n", "restls.substract_groundstate_energy_sweep()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2022-10-24T13:58:12.064446Z", "start_time": "2022-10-24T13:58:11.889466Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum plotted energy: 49.90083175262749\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 4), constrained_layout=True)\n", "\n", "ax = fig.add_subplot(121)\n", "restls.plot_energy_sweep(ax, np.arange(5))\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "\n", "ax = fig.add_subplot(122)\n", "\n", "E_max = restls.plot_energy_sweep_wrapped(ax, 3, 20, wr)\n", "print(\"Maximum plotted energy:\", E_max)\n", "\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sorting energies\n", "- when the rotating wave approximation is acitvated the sorting is trivial and is not performed\n", " via the TLS dipole moments" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2022-10-24T13:58:30.968579Z", "start_time": "2022-10-24T13:58:12.066427Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 6))\n", "ax = fig.add_subplot(projection=\"3d\")\n", "\n", "# this shows how the resonator states can be identified\n", "restls.plot_res_dipole_to_various_states_sweep(ax, 0, np.arange(8), dipole=\"y\")\n", "\n", "ax.set_box_aspect(aspect=None, zoom=0.8)\n", "\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\", labelpad=8)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Successfully sorted up to 244.03 GHz\n" ] } ], "source": [ "# The parameter dE is the allowed frequency variation of the resonator photons when climbing up the excitation ladder.\n", "# A large value for dE slows down the sorting as more resonator charge dipole moments to all the states within dE have to be calculated.\n", "# If no next state is found within dE, E_trust is set to the current state energy\n", "# When the rotating wave approximation is applied dE is irrelevant.\n", "\n", "dE = 0.5\n", "restls.associate_levels_sweep(dE)\n", "print(\"Successfully sorted up to {:.2f} GHz\".format(restls.E_trust))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum TLS state plotted: 1\n", "Maximum resonator state plotted: 5\n", "Maximum eigenstate plotted: 12\n", "Maximum plotted energy: 31.061623531211122\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 4), constrained_layout=True)\n", "ax = fig.add_subplot(121)\n", "\n", "restls.plot_sorted_energy_sweep(ax, np.arange(2), np.arange(3))\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "\n", "\n", "ax = fig.add_subplot(122)\n", "nq_max, nr_max, n_max, E_max = restls.plot_sorted_energy_sweep_wrapped(ax, wr, na_max=1, nr_max=5, n=50, gap=True)\n", "print(\"Maximum TLS state plotted:\", nq_max)\n", "print(\"Maximum resonator state plotted:\",nr_max)\n", "print(\"Maximum eigenstate plotted:\", n_max)\n", "print(\"Maximum plotted energy:\", E_max)\n", "\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2022-10-24T13:59:03.128217Z", "start_time": "2022-10-24T13:59:02.892680Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 5), constrained_layout=True)\n", "ax = fig.add_subplot(221)\n", "\n", "restls.derive_spectrum_properties_sweep()\n", "\n", "ax.set_title(\"resonator frequencies\")\n", "restls.plot_resonator_transitions_sweep(ax, np.arange(1), np.arange(5)) # resonator frequency with TLS in ground state\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$E$ (GHz)\")\n", "\n", "ax = fig.add_subplot(222)\n", "ax.set_title(\"TLS spectrum\")\n", "restls.plot_spectrum_sweep(ax, np.arange(2), np.arange(1)) # ground and excited state and resonator in ground state\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$E$ (GHz)\")\n", "\n", "ax = fig.add_subplot(223)\n", "ax.set_title(\"dispersive shift\")\n", "restls.plot_chi_sweep(ax, [1], np.arange(5)) # dispersive shift of the excited state with respect to the ground state\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$\\hbar\\chi$ (MHz)\")\n", "\n", "ax = fig.add_subplot(224)\n", "ax.set_title(\"stark shift\")\n", "restls.plot_stark_shift_sweep(ax, [1], np.arange(5)) # TLS frequency shift\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$\\Delta f_a$ (MHz)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Sweep of the coupling" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "452.0164705527359\n" ] } ], "source": [ "wa_z = 4.0\n", "wr = 5.0\n", "Nr = 100\n", "\n", "restls.set_parameters(wr=wr, wa_x=0.0, wa_y=0.0, wa_z=wa_z, g=g, RWA=False, Nr=Nr)\n", "restls.sweep_parameter(np.linspace(0.0, 5.0, 251)[1::], \"g\")\n", "restls.substract_groundstate_energy_sweep()\n", "\n", "restls.associate_levels_sweep(3.0)\n", "print(restls.E_trust)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Maximum TLS state plotted: 1\n", "Maximum resonator state plotted: 8\n", "Maximum eigenstate plotted: 17\n", "Maximum plotted energy: 43.996810313506515\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 4), constrained_layout=True)\n", "ax = fig.add_subplot(121)\n", "\n", "restls.plot_sorted_energy_sweep(ax, np.arange(2), np.arange(4))\n", "ax.set_xlabel(r\"$\\hbar g$ (GHz)\")\n", "\n", "ax = fig.add_subplot(122)\n", "nq_max, nr_max, n_max, E_max = restls.plot_sorted_energy_sweep_wrapped(ax, wr, na_max=1, nr_max=8, n=50, gap=True)\n", "print(\"Maximum TLS state plotted:\", nq_max)\n", "print(\"Maximum resonator state plotted:\",nr_max)\n", "print(\"Maximum eigenstate plotted:\", n_max)\n", "print(\"Maximum plotted energy:\", E_max)\n", "\n", "ax.set_xlabel(r\"$\\hbar g$ (GHz)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assymmetric quantum Rabi model" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Successfully sorted up to 244.21 GHz\n" ] } ], "source": [ "wr = 5.0\n", "wa_x = 2.0\n", "wa_y = 0.0\n", "g = 100e-3\n", "RWA = False\n", "Nr = 50\n", "\n", "restls.set_parameters(wr=wr, wa_x=wa_x, wa_y=wa_y, wa_z=wa_z, g=g, RWA=RWA, Nr=Nr)\n", "restls.sweep_parameter(np.linspace(-6.0, 6.0, 301), \"wa_z\")\n", "restls.substract_groundstate_energy_sweep()\n", "\n", "dE = 0.5\n", "restls.associate_levels_sweep(dE)\n", "print(\"Successfully sorted up to {:.2f} GHz\".format(restls.E_trust))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 5), constrained_layout=True)\n", "ax = fig.add_subplot(221)\n", "\n", "restls.derive_spectrum_properties_sweep()\n", "\n", "ax.set_title(\"resonator frequencies\")\n", "restls.plot_resonator_transitions_sweep(ax, np.arange(1), np.arange(5)) # resonator frequency with TLS in ground state\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$E$ (GHz)\")\n", "\n", "ax = fig.add_subplot(222)\n", "ax.set_title(\"TLS spectrum\")\n", "restls.plot_spectrum_sweep(ax, np.arange(2), np.arange(1)) # ground and excited state and resonator in ground state\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$E$ (GHz)\")\n", "\n", "ax = fig.add_subplot(223)\n", "ax.set_title(\"dispersive shift\")\n", "restls.plot_chi_sweep(ax, [1], np.arange(5)) # dispersive shift of the excited state with respect to the ground state\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$\\hbar\\chi$ (MHz)\")\n", "\n", "ax = fig.add_subplot(224)\n", "ax.set_title(\"stark shift\")\n", "restls.plot_stark_shift_sweep(ax, [1], np.arange(5)) # TLS frequency shift\n", "ax.set_xlabel(r\"$\\omega_\\mathrm{a}^\\mathrm{z}$ (GHz)\")\n", "ax.set_ylabel(r\"$\\Delta f_a$ (MHz)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Effect of the rotating wave approximation" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# this cell runs for 5min\n", "wa_z = 1.0\n", "wr = 5.0\n", "\n", "restls_RWA = rtls.ResonatorTLS()\n", "restls_RWA.set_parameters(wr=wr, wa_x=0.0, wa_y=0.0, wa_z=wa_z, g=100e-3, RWA=True, Nr=4000)\n", "restls_RWA.diagonalize_hamiltonian()\n", "\n", "restls = rtls.ResonatorTLS()\n", "restls.set_parameters(wr=wr, wa_x=0.0, wa_y=0.0, wa_z=wa_z, g=160e-3, RWA=False, Nr=4000) # increase coupling to be similar to the RWA\n", "restls.diagonalize_hamiltonian()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "19977.696620825544\n" ] } ], "source": [ "restls_RWA.associate_levels(dE=0.5)\n", "restls.associate_levels(dE=0.5)\n", "print(restls.E_trust)\n", "\n", "restls_RWA.derive_spectrum_properties()\n", "restls.derive_spectrum_properties()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(7, 6), constrained_layout=True) \n", "\n", "# the last state/states may not correctly be sorted/converged in case no RWA is applied\n", "dnr = 10\n", "\n", "ax = fig.add_subplot(221)\n", "ax.set_title(\"resonator frequencies\")\n", "ax.plot(restls_RWA.resonator_transitions[0, :-dnr], color=\"C0\", ls=\"--\") # resonator frequency with TLS in ground state\n", "ax.plot(restls_RWA.resonator_transitions[1, :-dnr], color=\"C1\", ls=\"--\") # resonator frequency with TLS in excited state\n", "ax.plot(restls.resonator_transitions[0, :-dnr], color=\"C0\") # resonator frequency with TLS in ground state\n", "ax.plot(restls.resonator_transitions[1, :-dnr], color=\"C1\") # resonator frequency with TLS in excited state\n", "\n", "ax.plot([], [], color=\"k\", ls=\"--\", label=\"RWA\")\n", "ax.plot([], [], color=\"k\", label=\"exact\")\n", "ax.legend(loc=1, ncol=2, frameon=False)\n", "\n", "ax.set_xlabel(\"$n_r$\")\n", "ax.set_ylabel(\"$f_{r, n_q}$ (GHz)\")\n", "\n", "ax = fig.add_subplot(222)\n", "ax.set_title(\"TLS spectrum\")\n", "ax.plot(restls_RWA.atom_spectrum[0, :-dnr], color=\"C0\", ls=\"--\") # ground state\n", "ax.plot(restls_RWA.atom_spectrum[1, :-dnr], color=\"C1\", ls=\"--\") # first excited state\n", "ax.plot(restls.atom_spectrum[0, :-dnr], color=\"C0\") # ground state\n", "ax.plot(restls.atom_spectrum[1, :-dnr], color=\"C1\") # first excited state\n", "ax.set_xlabel(\"$n_r$\")\n", "ax.set_ylabel(\"$f_{n_q} = E_{n_q} - E_0$ (GHz)\")\n", "\n", "ax = fig.add_subplot(223)\n", "ax.set_title(\"dispersive shift\")\n", "ax.plot(1e3 * restls_RWA.chi[1, :-dnr], color=\"C1\", ls=\"--\") # first excited state\n", "ax.plot(1e3 * restls.chi[1, :-dnr], color=\"C1\") # first excited state\n", "ax.set_xlabel(\"$n_r$\")\n", "ax.set_ylabel(r\"$\\hbar\\chi$ (MHz)\")\n", "\n", "ax = fig.add_subplot(224)\n", "ax.set_title(\"stark shift\")\n", "ax.plot(1e3 * restls_RWA.atom_stark_shift[1, :-dnr], color=\"C1\", ls=\"--\") \n", "ax.plot(1e3 * restls.atom_stark_shift[1, :-dnr], color=\"C1\") \n", "ax.set_xlabel(\"$n_r$\")\n", "ax.set_ylabel(r\"$\\Delta f_{n_q}$ (MHz)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## More...\n", "- get creative with the code and adapt it to your needs" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }