{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# QuTiP example: Phonon-assisted initialization using the time-dependent Bloch-Redfield master equation solver\n", "\n", "K.A. Fischer, Stanford University\n", "\n", "This Jupyter notebook demonstrates how to use the time-dependent Bloch-Redfield master equation solver to simulate the phonon-assited initialization of a quantum dot, using QuTiP: The Quantum Toolbox in Python. The purpose is to show how environmentally-driven dissipative interactions can be leveraged to initialize a quantum dot into its excited state. This notebook closely follows the work, Dissipative preparation of the exciton and biexciton in self-assembled quantum\n", "dots on picosecond time scales, Phys. Rev. B 90, 241404(R) (2014).\n", "\n", "For more information about QuTiP see the project web page: http://qutip.org/ " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import itertools" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from qutip import *\n", "from numpy import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "The quantum two-level system (TLS) is the simplest possible model to describe the quantum light-matter interaction between light and an artificial atom (quantum dot). While the version in the paper (both experiment and simulation) used a three-level system model, I decided to show only a TLS model here to minimize the notebook's runtime.\n", "\n", "In the version we simulate here, the system is driven by a continuous-mode coherent state, whose dipolar interaction with the system is represented by the following Hamiltonain\n", "\n", "$$ H =\\hbar \\omega_0 \\sigma^\\dagger \\sigma + \\frac{\\hbar\\Omega(t)}{2}\\left( \\sigma\\textrm{e}^{-i\\omega_dt} + \\sigma^\\dagger \\textrm{e}^{i\\omega_dt}\\right),$$\n", "\n", "where $\\omega_0$ is the system's transition frequency, $\\sigma$ is the system's atomic lowering operator, $\\omega_d$ is the coherent state's center frequency, and $\\Omega(t)$ is the coherent state's driving strength.\n", "\n", "The time-dependence can be removed to simplify the simulation by a rotating frame transformation. Then,\n", "\n", "$$ H_r =\\hbar \\left(\\omega_0-\\omega_d\\right) \\sigma^\\dagger \\sigma + \\frac{\\hbar\\Omega(t)}{2}\\left( \\sigma+ \\sigma^\\dagger \\right).$$\n", "\n", "Additionally, the quantum dot exists in a solid-state matrix, where environmental interactions are extremely important. In particular, the coupling between acoustic phonons and the artifical atom leads to important dephasing effects. While the collapse operators of the quantum-optical master equation can be used to phenomenologically model these effects, they do not necessarily provide any direct connection to the underlying physics of the system-environmental interaction.\n", "\n", "Instead, the Bloch-Redfield master equation allows for a direct connection between the quantum dynamics and the underlying physical interaction mechanism. Furthermore, the interaction strengths can be derived from first principles and can include complex power-dependences, such as those that exist in the quantum-dot-phonon interaction. Though we note that there are important non-Markovian effects which are now being investigated, e.g. in the paper Limits to coherent scattering and photon coalescence from solid-state quantum emitters, Phys. Rev. B 95, 201305(R) (2017)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Problem parameters\n", "\n", "Note, we use units where $\\hbar=1$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "n_Pi = 13 # 8 pi pulse area\n", "\n", "Om_list = np.linspace(0.001, n_Pi, 80) # driving strengths\n", "wd_list_e = np.array([-1, 0, 1]) # laser offsets in meV\n", "wd_list = wd_list_e*1.5 # in angular frequency\n", "tlist = np.linspace(0, 50, 40) # tmax ~ 2x FWHM\n", "\n", "# normalized Gaussian pulse shape, ~10ps long in energy\n", "t0 = 17 / (2 * np.sqrt(2 * np.log(2)))\n", "#pulse_shape = np.exp(-(tlist - 24) ** 2 / (2 * t0 ** 2))\n", "\n", "pulse_shape = '0.0867 * exp(-(t - 24) ** 2 / (2 * {0} ** 2))'.format(t0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup the operators, Hamiltonian, and initial state" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# initial state\n", "psi0 = fock(2, 1) # ground state\n", "\n", "# system's atomic lowering operator\n", "sm = sigmam()\n", "\n", "# Hamiltonian components\n", "H_S = -sm.dag() * sm # self-energy, varies with drive frequency\n", "H_I = sm + sm.dag()\n", "\n", "# we ignore spontaneous emission since the pulse is much faster than\n", "# the decay time\n", "c_ops = []" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, we define the terms specific to the Bloch-Redfield solver's system-environmental coupling. The quantum dot couples to acoustic phonons in its solid-state environment through a dispersive electron-phonon interaction of the form\n", "\n", "$$ H_\\textrm{phonon}=\\hbar J(\\omega)\\sigma^\\dagger \\sigma,$$\n", "\n", "where $J(\\omega)$ is the spectra density of the coupling." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# operator that couples the quantum dot to acoustic phonons\n", "a_op = sm.dag()*sm\n", " \n", "# This spectrum is a displaced gaussian multiplied by w^3, which\n", "# models coupling to LA phonons. The electron and hole\n", "# interactions contribute constructively.\n", "\n", "\"\"\"\n", "# fitting parameters ae/ah\n", "ah = 1.9e-9 # m\n", "ae = 3.5e-9 # m\n", "# GaAs material parameters\n", "De = 7\n", "Dh = -3.5\n", "v = 5110 # m/s\n", "rho_m = 5370 # kg/m^3\n", "hbar = 1.05457173e-34 # Js\n", "T = 4.2 # Kelvin, temperature\n", "\n", "# results in ~3THz angular frequency width, w in THz\n", "# zero T spectrum, for w>0\n", "J = 1.6*1e-13*w**3/(4*numpy.pi**2*rho_m*hbar*v**5) * \\\n", " (De*numpy.exp(-(w*1e12*ae/(2*v))**2) -\n", " Dh*numpy.exp(-(w*1e12*ah/(2*v))**2))**2\n", "\n", "# for temperature dependence, the 'negative' frequency \n", "# components correspond to absorption vs emission\n", "\n", "# w > 0:\n", "JT_p = J*(1 + numpy.exp(-w*0.6582119/(T*0.086173)) / \\\n", " (1-numpy.exp(-w*0.6582119/(T*0.086173))))\n", "# w < 0:\n", "JT_m = -J*numpy.exp(w*0.6582119/(T*0.086173)) / \\\n", " (1-numpy.exp(w*0.6582119/(T*0.086173)))\n", "\"\"\"\n", "\n", "# the Bloch-Redfield solver requires the spectra to be \n", "# formatted as a string\n", "spectra_cb =' 1.6*1e-13*w**3/(4*pi**2*5370*1.05457173e-34*5110**5) * ' + \\\n", " '(7*exp(-(w*1e12*3.5e-9/(2*5110))**2) +' + \\\n", " '3.5*exp(-(w*1e12*1.9e-9 /(2*5110))**2))**2 *' + \\\n", " '((1 + exp(-w*0.6582119/(4.2*0.086173)) /' + \\\n", " '(1+1e-9-exp(-w*0.6582119/(4.2*0.086173))))*(w>=0)' + \\\n", " '-exp(w*0.6582119/(4.2*0.086173)) /' + \\\n", " '(1+1e-9-exp(w*0.6582119/(4.2*0.086173)))*(w<0))'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualize the dot-phonon interaction spectrum\n", "\n", "$J(\\omega)$ has two components that give rise to its shape: a rising component due to the increasing acoustic phonon density of states and a roll-off that occurs due to the physical size of the quantum dot." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA/MAAAKZCAYAAAD05HsrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 332, "width": 505 } }, "output_type": "display_data" } ], "source": [ "spec_list = np.linspace(-5, 10, 200)\n", "\n", "plt.figure(figsize=(8, 5))\n", "plt.plot(spec_list, [eval(spectra_cb.replace('w', str(_))) for _ in spec_list])\n", "plt.xlim(-5, 10)\n", "plt.xlabel('$\\omega$ [THz]')\n", "plt.ylabel('$J(\\omega)$ [THz]')\n", "plt.title('Quantum-dot-phonon interaction spectrum');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate the pulse-system interaction dynamics\n", "\n", "The Bloch-Redfield master equation solver takes the Hamiltonian time-dependence in list-string format. We calculate the final population at the end of the interaction of the pulse with the system, which represents the population initialized into the excited state." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# we will calculate the dot population expectation value\n", "e_ops = [sm.dag()*sm]\n", "\n", "# define callback for parallelization\n", "def brme_step(args):\n", " wd = args[0]\n", " Om = args[1]\n", " H = [wd * H_S, [Om * H_I, pulse_shape]]\n", " \n", " # calculate the population after the pulse interaction has\n", " # finished using the Bloch-Redfield time-dependent solver\n", " return qutip.brmesolve(H, psi0, tlist, [[a_op, spectra_cb]],\n", " e_ops,options=Options(rhs_reuse=True)).expect[0][-1]\n", "\n", "# use QuTiP's builtin parallelized for loop, parfor\n", "results = parfor(brme_step, itertools.product(wd_list, Om_list))\n", "\n", "# unwrap the results into a 2d array\n", "inv_mat_X = np.array(results).reshape((len(wd_list), len(Om_list)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize the quantum dot's initialization fidelity\n", "\n", "Below, consider the trace of excited state occupation for increasing pulse area at a detuning of $\\omega_d-\\omega_L=0$. Here, the oscillations represent the standard Rabi oscillations of a driven two-level system, damped for increasing pulse area by a Markovian-like dephasing. This damping could be represented with a power-dependent collapse operator in the normal quantum-optical master equation. However, for nonzero pulse detunings, the results are quite nontrivial and difficult to model with a collapse operator. Herein lies the power of the Bloch-Redfield approach: it captures the dephasing in a more natural basis, the dressed atom basis, from first principles.\n", "\n", "In this basis, the dispersive phonon-induced dephasing drives a population difference between the dressed states. This amounts to driving the system towards a dissipative quasi-steady state that initializes the population into the excited state with almost unity fidelity. The initialization effect is very insensitive to precise pulse area or laser detuning, as discussed in our paper, and hence is a powerfully robust way to pump a quantum dot into its excited state. Below is an example trace showing this dissipative initialization for a +1meV laser detuning. The high fidelity of the initialization relies on a low temperature bath that prefers phonon emission over absorption. As a complement, for a laser detuning of -1meV, the excited state is barely populated." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+UAAAKZCAYAAADeVIqEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqa/+n+wMcmoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "height": 332, "width": 498 } }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 5))\n", "\n", "plt.plot(Om_list, inv_mat_X[0])\n", "plt.plot(Om_list, inv_mat_X[1])\n", "plt.plot(Om_list, inv_mat_X[2])\n", "\n", "plt.legend(['laser detuning, -1 meV', \n", " 'laser detuning, 0 meV', \n", " 'laser detuning, +1 meV'], loc=4)\n", "\n", "plt.xlim(0, 13)\n", "plt.xlabel('Pulse area [$\\pi$]')\n", "plt.ylabel('Excited state population')\n", "plt.title('Effects of phonon dephasing for different pulse detunings');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Versions" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.3.0.dev0+aca609e9
Numpy1.13.1
SciPy0.19.1
matplotlib2.0.2
Cython0.26
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]
Wed Aug 23 22:40:21 2017 MDT
" ], "text/plain": [ "" ] }, "execution_count": 10, "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 }