{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP example: Single-Qubit Dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "J.R. Johansson and P.D. Nation\n", "\n", "For more information about QuTiP see [http://qutip.org](http://qutip.org)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from qutip import *" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def qubit_integrate(epsilon, delta, g1, g2, solver):\n", "\n", " H = epsilon / 2.0 * sigmaz() + delta / 2.0 * sigmax()\n", " \n", " # collapse operators\n", " c_ops = []\n", "\n", " if g1 > 0.0:\n", " c_ops.append(np.sqrt(g1) * sigmam())\n", "\n", " if g2 > 0.0:\n", " c_ops.append(np.sqrt(g2) * sigmaz())\n", "\n", " e_ops = [sigmax(), sigmay(), sigmaz()]\n", " \n", " if solver == \"me\":\n", " output = mesolve(H, psi0, tlist, c_ops, e_ops) \n", " elif solver == \"es\":\n", " output = essolve(H, psi0, tlist, c_ops, e_ops) \n", " elif solver == \"mc\":\n", " ntraj = 250\n", " output = mcsolve(H, psi0, tlist, ntraj, c_ops, [sigmax(), sigmay(), sigmaz()]) \n", " else:\n", " raise ValueError(\"unknown solver\")\n", " \n", " return output.expect[0], output.expect[1], output.expect[2]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "epsilon = 0.0 * 2 * np.pi # cavity frequency\n", "delta = 1.0 * 2 * np.pi # atom frequency\n", "g2 = 0.15\n", "g1 = 0.0\n", "\n", "# intial state\n", "psi0 = basis(2,0)\n", "\n", "tlist = np.linspace(0,5,200)\n", "\n", "# analytics\n", "sx_analytic = np.zeros(shape(tlist))\n", "sy_analytic = -np.sin(2*np.pi*tlist) * np.exp(-tlist * g2)\n", "sz_analytic = np.cos(2*np.pi*tlist) * np.exp(-tlist * g2)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "sx1, sy1, sz1 = qubit_integrate(epsilon, delta, g1, g2, \"me\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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Ue4qbfBBmBPgRNn0EV6FkAaBqXJYnbvFSZD9AxoaXufbNa2s8IDMW6ZrTfi2s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CirLQub5M3OGD0aoqKsMcYTnAkkD0rm2KVjIWtz7zE3jv8vF3+MfqksgCutV8JOe9pATo5KYL52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\njViMS5IkSY1YjEuSJEmNWIxLkiRJjfwX7SwDqbjpSOwAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.plot(tlist, np.real(sx1), 'r')\n", "ax.plot(tlist, np.real(sy1), 'b')\n", "ax.plot(tlist, np.real(sz1), 'g')\n", "ax.plot(tlist, sx_analytic, 'r*')\n", "ax.plot(tlist, sy_analytic, 'g*')\n", "ax.plot(tlist, sz_analytic, 'g*')\n", "ax.legend((\"sx\", \"sy\", \"sz\"))\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('expectation value');" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "sx2, sy2, sz2 = qubit_integrate(epsilon, delta, 0, 0, \"me\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# analytics\n", "sx_analytic = np.zeros(np.shape(tlist))\n", "sy_analytic = -np.sin(2*np.pi*tlist)\n", "sz_analytic = np.cos(2*np.pi*tlist)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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xwOLFEDfJSemOgaMQm45vwqN4uHLGlf0+PlqWz1zOxqMbueL5K+TvuRePB9av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\noVOHyE4anmHDNl2938Ng/5yrq2HWLDVnV0+G03s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AbGJ22QOyzhu+rSZ36A11Rkyz4aTp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\nhSMHolENTYQofW/EOfvY0xPP8XBTOEVVRe6/ByumnsO8ysyyL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "ax.plot(tlist, np.real(sx2), 'r')\n", "ax.plot(tlist, np.real(sy2), 'b')\n", "ax.plot(tlist, np.real(sz2), 'g')\n", "ax.plot(tlist, sx_analytic, 'r*')\n", "ax.plot(tlist, sy_analytic, 'g*')\n", "ax.plot(tlist, sz_analytic, 'g*')\n", "ax.legend((\"sx\", \"sy\", \"sz\"))\n", "ax.set_xlabel('Time')\n", "ax.set_ylabel('expectation value');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bloch sphere" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "w = 1.0 * 2 * np.pi # qubit angular frequency\n", "theta = 0.2 * np.pi # qubit angle from sigma_z axis (toward sigma_x axis)\n", "gamma1 = 0.05 # qubit relaxation rate\n", "gamma2 = 0.02 # qubit dephasing rate\n", "# initial state\n", "a = 1.0\n", "psi0 = (a * basis(2,0) + (1-a)*basis(2,1))/(np.sqrt(a**2 + (1-a)**2))\n", "tlist = np.linspace(0,15,1000)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "def qubit_integrate(w, theta, gamma1, gamma2, psi0, tlist):\n", " # Hamiltonian\n", " sx = sigmax()\n", " sy = sigmay()\n", " sz = sigmaz()\n", " sm = sigmam()\n", " H = w * (np.cos(theta) * sz + np.sin(theta) * sx)\n", " # collapse operators\n", " c_op_list = []\n", " n_th = 0.5 # zero temperature\n", " rate = gamma1 * (n_th + 1)\n", " if rate > 0.0:\n", " c_op_list.append(np.sqrt(rate) * sm)\n", " rate = gamma1 * n_th\n", " if rate > 0.0:\n", " c_op_list.append(np.sqrt(rate) * sm.dag())\n", " rate = gamma2\n", " if rate > 0.0:\n", " c_op_list.append(np.sqrt(rate) * sz)\n", " # evolve and calculate expectation values\n", " output = mesolve(H, psi0, tlist, c_op_list, [sx, sy, sz]) \n", " return output.expect[0], output.expect[1], output.expect[2]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "sx, sy, sz = qubit_integrate(w, theta, gamma1, gamma2, psi0, tlist)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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HiUWj7mfI51EUhdZ0mrbubqJ+ds+fGl/0P6iYpsmRw4epFovEvR+d7TgkWloI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\nsB2IaVnS70Z2b+5gAdDAZIa+a91mN2HbNmZ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q5JHz8EJBn/hySOIYUaeDj86exYU//hHP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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sphere=Bloch()\n", "sphere.add_points([sx,sy,sz], meth='l')\n", "sphere.vector_color = ['r']\n", "sphere.add_vectors([np.sin(theta), 0, np.cos(theta)])\n", "sphere.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Versions" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.3.0.dev0+6e5b1d43
Numpy1.13.1
SciPy0.19.1
matplotlib2.0.2
Cython0.25.2
Number of CPUs2
BLAS InfoINTEL MKL
IPython6.1.0
Python3.6.2 |Anaconda custom (x86_64)| (default, Jul 20 2017, 13:14:59) \n", "[GCC 4.2.1 Compatible Apple LLVM 6.0 (clang-600.0.57)]
OSposix [darwin]
Thu Jul 20 22:29:28 2017 MDT
" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 1 }