{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "QuTiP example: compare time-dependence formats" ] }, { "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", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip import *\n", "import time" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "System: driven qubit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Example comparing master equation with constant and time-dependent collapse Hamiltonian and collapse operators." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def gamma1_t(t, args):\n", " \"\"\" a time-dependent rate \"\"\"\n", " return args['G1'] * exp(-0.1*t)\n", " \n", "def gamma2_t(t, args):\n", " \"\"\" a time-dependent rate \"\"\"\n", " return args['G2'] * exp(-0.2*t)\n", "\n", "def H1_coeff_t(t, args):\n", " return sin(args['w'] * t)\n", "\n", "def hamiltonian_t(t, args):\n", " \"\"\" evaluate the hamiltonian at time t. \"\"\"\n", " H0 = args[0]\n", " H1 = args[1]\n", " w = args[2]\n", " return H0 + H1 * sin(w * t)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "def qubit_integrate(delta, eps0, A, w, gamma1, gamma2, psi0, tlist):\n", "\n", " # Hamiltonian\n", " sx = sigmax()\n", " sz = sigmaz()\n", " sm = destroy(2)\n", "\n", " H0 = - delta/2.0 * sx - eps0/2.0 * sz\n", " H1 = - A * sx\n", "\n", " # --------------------------------------------------------------------------\n", " # 1) time-dependent hamiltonian and collapse operators: using list-function\n", " # format\n", " #\n", " \n", " H = [H0, [H1, H1_coeff_t]]\n", " args = {'w': w, 'G1': gamma1, 'G2': gamma2}\n", "\n", " c_op_list = []\n", " c_op_list.append([sm, gamma1_t]) # relaxation\n", " c_op_list.append([sz, gamma2_t]) # dephasing\n", " #c_op_list.append(sqrt(gamma1) * sm) # relaxation\n", " #c_op_list.append(sqrt(gamma2) * sz) # dephasing\n", " \n", " start_time = time.time()\n", " output = mesolve(H, psi0, tlist, c_op_list, [sm.dag() * sm], args=args) \n", " expt_list1 = output.expect\n", " print('Method 1: time elapsed = ' + str(time.time() - start_time)) \n", " \n", " # --------------------------------------------------------------------------\n", " # 2) time-dependent hamiltonian and collapse operators: using list-string\n", " # format\n", " #\n", " \n", " H = [H0, [H1, 'sin(w * t)']]\n", " args = {'w': w, 'G1': gamma1, 'G2': gamma2}\n", "\n", " c_op_list = []\n", " c_op_list.append([sm, 'G1 * exp(-0.1*t)']) # relaxation\n", " c_op_list.append([sz, 'G2 * exp(-0.2*t)']) # dephasing\n", " #c_op_list.append(sqrt(gamma1) * sm) # relaxation\n", " #c_op_list.append(sqrt(gamma2) * sz) # dephasing\n", "\n", " start_time = time.time()\n", " output = mesolve(H, psi0, tlist, c_op_list, [sm.dag() * sm], args=args)\n", " expt_list2 = output.expect \n", " print('Method 2: time elapsed = ' + str(time.time() - start_time))\n", " \n", " # --------------------------------------------------------------------------\n", " # 3) time-dependent hamiltonian and but time-independent collapse operators:\n", " # using function callback format\n", " #\n", " \n", " args = [H0, H1, w]\n", "\n", " c_op_list = []\n", " c_op_list.append(sqrt(gamma1) * sm) # relaxation\n", " c_op_list.append(sqrt(gamma2) * sz) # dephasing\n", "\n", " start_time = time.time()\n", " output = mesolve(hamiltonian_t, psi0, tlist, c_op_list, [sm.dag() * sm], args=args) \n", " expt_list3 = output.expect\n", " print('Method 3: time elapsed = ' + str(time.time() - start_time)) \n", "\n", " # --------------------------------------------------------------------------\n", " # 4) Constant hamiltonian and collapse operators\n", " #\n", "\n", " H_rwa = - delta/2.0 * sx - A * sx / 2\n", "\n", " c_op_list = []\n", " c_op_list.append(sqrt(gamma1) * sm) # relaxation\n", " c_op_list.append(sqrt(gamma2) * sz) # dephasing\n", " \n", " start_time = time.time()\n", " output = mesolve(H_rwa, psi0, tlist, c_op_list, [sm.dag() * sm]) \n", " expt_list4 = output.expect\n", " print('Method 4: time elapsed = ' + str(time.time() - start_time))\n", " \n", " # --------------------------------------------------------------------------\n", " # 5) Unitary evolution, constant hamiltonian\n", " #\n", "\n", " c_op_list = []\n", " \n", " start_time = time.time()\n", " output = mesolve(H_rwa, psi0, tlist, c_op_list, [sm.dag() * sm]) \n", " expt_list5 = output.expect\n", " print('Method 5: time elapsed = ' + str(time.time() - start_time))\n", "\n", " return expt_list1[0], expt_list2[0], expt_list3[0], expt_list4[0], expt_list5[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "delta = 0.0 * 2 * pi # qubit sigma_x coefficient\n", "eps0 = 1.0 * 2 * pi # qubit sigma_z coefficient\n", "A = 0.25 * 2 * pi # driving amplitude (reduce to make the RWA more accurate)\n", "w = 1.0 * 2 * pi # driving frequency\n", "gamma1 = 0.2 # relaxation rate\n", "gamma2 = 0.1 # dephasing rate\n", "psi0 = basis(2,1) # initial state\n", "\n", "tlist = linspace(0, 5.0 * 2 * pi / A, 250)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "p_ex1, p_ex2, p_ex3, p_ex4, p_ex5 = qubit_integrate(delta, eps0, A, w, gamma1, gamma2, psi0, tlist)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Method 1: time elapsed = 0.824520111084\n", "Method 2: time elapsed = 1.90881586075" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Method 3: time elapsed = 0.380300045013" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Method 4: time elapsed = 0.0217039585114\n", "Method 5: time elapsed = 0.213099956512" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(12, 8))\n", "plot(tlist, real(p_ex1), 'b', \n", " tlist, real(p_ex2), 'g.',\n", " tlist, real(p_ex3), 'r.-',\n", " tlist, real(p_ex4), 'c--',\n", " tlist, real(p_ex5), 'm')\n", "xlabel('Time')\n", "ylabel('Occupation probability')\n", "title('Excitation probabilty of qubit')\n", "legend((\"Time-dependent function format\", \n", " \"Time-dependent string format\", \n", " \"Time-dependent func format\", \n", " \"Const. collapse operators\", \"Unitary evolution\"));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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3SY5cLoe7uzsyMzMbrUdQUBBycnJM9uXk5PDj2xxskd0cY/eDDz5ARkYGTp8+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\nqVor1V5ubQtBcauigoIIohS3VgERAiH7hCSTfZt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89dRTWCwWTj/99AE/v6ysjPXr1yPL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\nON2YwpERUpJ3Qx763usb0ylWg9s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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "System: Driven oscillator" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def gamma_t(t, args):\n", " \"\"\" a time-dependent rate \"\"\"\n", " return args['G'] * (1 + sin(args['w']*t)) * exp(-0.5*t)\n", "\n", "def H1_coeff_t(t, args):\n", " return sin(args['w'] * t)\n", "\n", "def hamiltonian_t(t, args):\n", " \"\"\" evaluate the hamiltonian at time t. \"\"\"\n", " H0 = args[0]\n", " H1 = args[1]\n", " w = args[2]\n", " return H0 + H1 * sin(w * t)\n" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "def oscillator_integrate(solver, N, w0, A, w, gamma, rho0, tlist):\n", "\n", " # Hamiltonian: oscillator + driving on x\n", " H0 = w0 * 2 * pi * num(N)\n", " H1 = A * (destroy(N).dag() + destroy(N))\n", "\n", " # --------------------------------------------------------------------------\n", " # 1) time-dependent hamiltonian and collapse operators: using list-function\n", " # format\n", " #\n", " \n", " H = [H0, [H1, H1_coeff_t]]\n", " args = {'w': w, 'G': gamma}\n", "\n", " c_op_list = []\n", " c_op_list.append([destroy(N), gamma_t]) # relaxation\n", " \n", " start_time = time.time()\n", " output = solver(H, rho0, tlist, c_op_list, [num(N)], args=args) \n", " expt_list1 = output.expect\n", " print('Method 1: time elapsed = ' + str(time.time() - start_time))\n", " \n", " # --------------------------------------------------------------------------\n", " # 2) time-dependent hamiltonian and collapse operators: using list-string\n", " # format\n", " #\n", " \n", " H = [H0, [H1, 'sin(w * t)']]\n", " args = {'w': w, 'G': gamma}\n", "\n", " c_op_list = []\n", " c_op_list.append([destroy(N), 'G * (1 + sin(w*t))']) # relaxation\n", "\n", " start_time = time.time()\n", " output = solver(H, rho0, tlist, c_op_list, [num(N)], args=args)\n", " expt_list2 = output.expect \n", " print('Method 2: time elapsed = ' + str(time.time() - start_time))\n", " \n", " # --------------------------------------------------------------------------\n", " # 3) time-dependent hamiltonian and but time-independent collapse operators:\n", " # using function callback format\n", " #\n", " args = [H0, H1, w]\n", "\n", " c_op_list = []\n", " c_op_list.append(sqrt(gamma) * destroy(N)) # relaxation\n", "\n", " start_time = time.time()\n", " output = solver(hamiltonian_t, rho0, tlist, c_op_list, [num(N)], args=args) \n", " expt_list3 = output.expect\n", " print('Method 3: time elapsed = ' + str(time.time() - start_time)) \n", "\n", " # --------------------------------------------------------------------------\n", " # 4) Constant hamiltonian and collapse operators\n", " #\n", " c_op_list = []\n", " c_op_list.append(sqrt(gamma) * destroy(N)) # relaxation\n", "\n", " start_time = time.time()\n", " output = solver(H0, rho0, tlist, c_op_list, [num(N)]) \n", " expt_list4 = output.expect\n", " print('Method 4: time elapsed = ' + str(time.time() - start_time))\n", " \n", " # --------------------------------------------------------------------------\n", " # 5) Unitary evolution, constant hamiltonian\n", " #\n", " start_time = time.time()\n", " output = solver(H0, rho0, tlist, [], [num(N)]) \n", " expt_list5 = output.expect\n", " print('Method 5: time elapsed = ' + str(time.time() - start_time))\n", "\n", " return expt_list1[0], expt_list2[0], expt_list3[0], expt_list4[0], expt_list5[0]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 14 }, { "cell_type": "code", "collapsed": false, "input": [ "N = 10\n", "w0 = 1.0 * 2 * pi # oscillator energy\n", "A = 0.15 * 2 * pi # driving amplitude (reduce to make the RWA more accurate)\n", "w = 1.0 * 2 * pi # driving frequency\n", "gamma = 0.2 # relaxation rate\n", "rho0 = fock_dm(N,N-2) # initial state\n", "\n", "tlist = linspace(0, 10.0, 250)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 15 }, { "cell_type": "code", "collapsed": false, "input": [ "solver = mesolve #mesolve or mcsolve\n", "p_ex1, p_ex2, p_ex3, p_ex4, p_ex5 = oscillator_integrate(solver, N, w0, A, w, gamma, rho0, tlist)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Method 1: time elapsed = 5.66927599907\n", "Method 2: time elapsed = 1.95071101189" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Method 3: time elapsed = 4.07780599594" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "Method 4: time elapsed = 0.020231962204\n", "Method 5: time elapsed = 0.012766122818\n" ] } ], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(12, 8))\n", "plot(tlist, real(p_ex1), 'b',\n", " tlist, real(p_ex2), 'g.',\n", " tlist, real(p_ex3), 'r.-',\n", " tlist, real(p_ex4), 'c--',\n", " tlist, real(p_ex5), 'm')\n", "xlabel('Time')\n", "ylabel('Occupation probability')\n", "title('Excitation probabilty of qubit')\n", "legend((\"Time-dependent function format\",\n", " \"Time-dependent string format\",\n", " \"Time-dependent func format. Const collapse ops.\",\n", " \"Const. collapse operators\", \"Unitary evolution\"));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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GqT0WJGvy8gLCwkACAejpU/A1XjtZaba/h2GIDcXIKswqNxxDKpAiJT+l3Hqp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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Versions" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Cython0.19
SciPy0.14.0.dev-2a4ba40
QuTiP2.3.0.dev-0fd8af4
Python2.7.4 (default, Apr 19 2013, 18:28:01) \n", "[GCC 4.7.3]
IPython2.0.0-dev
OSposix [linux2]
Numpy1.8.0.dev-928289b
matplotlib1.4.x
Sat Sep 28 23:14:28 2013 JST
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }