{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Local and Collective Noise in the Driven-Dissipative Dynamics of Large Two-Level System Ensembles \n", "\n", "Notebook Author: Nathan Shammah (nathan.shammah@gmail.com) \n", "PIQS code: Nathan Shammah (nathan.shammah@gmail.com), Shahnawaz Ahmed (shahnawaz.ahmed95@gmail.com)\n", "\n", "### Module\n", "\n", "Below we give an introduction to PIQS, the Permutational Invariant Quantum Solver [1], which is integrated in QuTiP from version 4.3 [2] and can be imported as a module simply with $\\texttt{qutip.piqs}$. \n", "\n", "![title](images/piqs.png)\n", "\n", "### Introduction to the Open Dynamics\n", "\n", "We are interested in considering the non-unitary dynamics of a quantum system interacting with a larger environment, whose evolution is goverened by \n", "\\begin{eqnarray}\n", "\\dot{\\rho} = \\mathcal{D}(\\rho) &=& \n", "-\\frac{i}{\\hbar}\\lbrack H,\\rho \\rbrack\n", "+\\frac{\\gamma}{2}\\mathcal{L}_{A}[\\rho],\n", "\\end{eqnarray}\n", "\n", "where $\\rho$ is the density matrix of the system, $\\mathcal{D}$ is the Liouvillian superoperator, $H$ is the Hamiltonian of the system and $\\mathcal{L}_{A}[O]=2AOA^\\dagger-A^\\dagger A O-OA^\\dagger A$ is the Lindbladian of the system, with $A$ a jump operator, and $\\gamma$ is the dissipation rate. Considering this Lindblad dynamics implies making the Born, Markov, and Secular approximations regarding the system-environment interaction. \n", "\n", "For a system comprising several two-level systems (TLSs), the Hilbert space grows like $2^N$ and in general the Liouvillian space grows like $2^N\\times2^N=4^N$. This fact strongly limits the direct use of numerical methods to solve the dynamics in the uncoupled basis. \n", "\n", "If additional symmetries are present in the system, the complexity of the problem can be reduced. If only collective processes are present, the collective system can be mapped to an effective large spin of dimension $(N+1)$.\n", "\n", "If also local processes are present in the Lindblad dissipation terms, in general such reduction is not possible. However, if one can assume that the local dissipation noise affects with an identical rate each of the TLSs, a reduction in the complexity of the problem can be performed. \n", "\n", "The *Permutational Invariant Quantum Solver* (PIQS) is an open-source Python solver to study the exact Lindbladian dynamics of open quantum systems consisting of identical qubits. PIQS is integrated in QuTiP and can be imported as as a model simply by importing it as $\\texttt{qutip.piqs}$.\n", "\n", "Using this library, the Liouvillian of an ensemble of $N$ qubits, or two-level systems (TLSs), $\\mathcal{D}_{TLS}(\\rho)$, can be built using only polynomial – instead of exponential – resources. This has many applications for the study of realistic quantum optics models of many TLSs and in general as a tool in cavity QED [1].\n", "\n", "We can consider a system evolving according to the equation\n", "\n", "\\begin{eqnarray}\n", "\\dot{\\rho} = \\mathcal{D}_\\text{TLS}(\\rho) &=& \n", "-\\frac{i}{\\hbar}\\lbrack H,\\rho \\rbrack\n", "+\\frac{\\gamma_\\text{CE}}{2}\\mathcal{L}_{J_{-}}[\\rho]\n", "+\\frac{\\gamma_\\text{CD}}{2}\\mathcal{L}_{J_{z}}[\\rho]\n", "+\\frac{\\gamma_\\text{CP}}{2}\\mathcal{L}_{J_{+}}[\\rho]\\nonumber\\\\\n", "&&+\\sum_{n=1}^{N}\\left(\n", "\\frac{\\gamma_\\text{E}}{2}\\mathcal{L}_{J_{-,n}}[\\rho]\n", "+\\frac{\\gamma_\\text{D}}{2}\\mathcal{L}_{J_{z,n}}[\\rho]\n", "+\\frac{\\gamma_\\text{P}}{2}\\mathcal{L}_{J_{+,n}}[\\rho]\\right)\n", "\\end{eqnarray}\n", "\n", "where $J_{\\alpha,n}=\\frac{1}{2}\\sigma_{\\alpha,n}$ are SU(2) Pauli spin operators, with ${\\alpha=x,y,z}$ and $J_{\\pm,n}=\\sigma_{\\pm,n}$. The collective spin operators are $J_{\\alpha} = \\sum_{n}J_{\\alpha,n}$. The Lindblad super-operators are $\\mathcal{L}_{A} = 2A\\rho A^\\dagger - A^\\dagger A \\rho - \\rho A^\\dagger A$.\n", "\n", "The inclusion of local processes in the dynamics leads to using a Liouvillian space of dimension $4^N$. By exploiting the permutational invariance of identical particles [2-8], the Liouvillian $\\mathcal{D}_\\text{TLS}(\\rho)$ can be built with an exponential decrease in resources and the density matrix is a block-diagonal matrix in the basis of Dicke states $|j, m \\rangle$ with only $O(N^3)$ non-zero matrix elements.\n", "\n", "\n", "### Defining the Lindbladian terms\n", "\n", "The system under study is defined by creating an object of the $\\texttt{Piqs}$ class, e.g. simply named $\\texttt{system}$, whose first attribute is \n", "\n", "- $\\texttt{system.N}$, the number of TLSs of the system $N$.\n", "\n", "The rates for collective and local processes are simply defined as \n", "\n", "- $\\texttt{collective}\\_ \\texttt{emission}$ defines $\\gamma_\\text{CE}$, collective (superradiant) emission\n", "\n", "\n", "- $\\texttt{collective}\\_ \\texttt{dephasing}$ defines $\\gamma_\\text{CD}$, collective dephasing \n", "\n", "\n", "- $\\texttt{collective}\\_ \\texttt{pumping}$ defines $\\gamma_\\text{CP}$, collective pumping. \n", "\n", "\n", "- $\\texttt{emission}$ defines $\\gamma_\\text{E}$, incoherent emission (losses) \n", "\n", "\n", "- $\\texttt{dephasing}$ defines $\\gamma_\\text{D}$, local dephasing \n", "\n", "\n", "- $\\texttt{pumping}$ defines $\\gamma_\\text{P}$, incoherent pumping. \n", "\n", "The table below summarizes and compares the meaning of the keywords for an object of the Dicke class,\n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
Keyword Rate $\\gamma_j$ Lindbladian $\\mathcal{L}[\\rho]$
$\\texttt{emission}$ $\\gamma_\\text{E}$ \\begin{eqnarray}\\mathcal{L}[\\rho]&=&\\sum_n^N \\left(J_{-,n}\\rho J_{+,n} - \\frac{1}{2}J_{+,n}J_{-,n}\\rho - \\frac{1}{2}\\rho J_{+,n}J_{-,n} \\right)\\end{eqnarray}
$\\texttt{pumping}$ $\\gamma_\\text{P}$ \\begin{eqnarray}\\mathcal{L}[\\rho]&=&\\sum_n^N \\left(J_{+,n}\\rho J_{-,n} - \\frac{1}{2}J_{-,n}J_{+,n}\\rho - \\frac{1}{2}\\rho J_{-,n}J_{+,n} \\right)\\end{eqnarray}
$\\texttt{dephasing}$ $\\gamma_\\text{D}$ \\begin{eqnarray}\\mathcal{L}[\\rho]&=&\\sum_n^N \\left(J_{z,n}\\rho J_{z,n} - \\frac{1}{2}J_{z,n}J_{z,n}\\rho - \\frac{1}{2}\\rho J_{z,n}J_{z,n} \\right)\\end{eqnarray}
$\\texttt{collective}\\_\\texttt{emission}$ $\\gamma_\\text{CE}$ \\begin{eqnarray}\\mathcal{L}[\\rho]&=& J_{-}\\rho J_{+} - \\frac{1}{2}J_{+}J_{-}\\rho - \\frac{1}{2}\\rho J_{+}J_{-} \\end{eqnarray}
$\\texttt{collective}\\_\\texttt{pumping}$ $\\gamma_\\text{CP}$ \\begin{eqnarray}\\mathcal{L}[\\rho]&=& J_{+}\\rho J_{-} - \\frac{1}{2}J_{-}J_{+}\\rho - \\frac{1}{2}\\rho J_{-}J_{+} \\end{eqnarray}
$\\texttt{collective}\\_\\texttt{dephasing}$ $\\gamma_\\text{CD}$ \\begin{eqnarray}\\mathcal{L}[\\rho]&=& J_{z}\\rho J_{z} - \\frac{1}{2}J_{z}^2\\rho - \\frac{1}{2}\\rho J_{z}^2 \\end{eqnarray}
\n", "\n", "Note that in the table above and in $\\texttt{qutip.piqs}$ functions, the Lindbladian $\\mathcal{L}[\\rho]$ is written with a factor 1/2 with respect to $\\mathcal{L}_{A}[\\rho]$ reported in the LaTeX math equations, in order to have the Lindbladian and full Liouvillian matrix consistently defined by the rates $\\gamma_\\alpha$. \n", "\n", "We assume below that the object of the Dicke class created is named $\\texttt{system}$. Then $\\texttt{system.lindbladian()}$ creates the total TLS Lindbladian superoperator matrix that is already a quantum object (of QuTiP's $\\texttt{Qobj}$ class) with the correct dimensions and shape in the Dicke basis.\n", "\n", "### Defining the Hamiltonian \n", "\n", "Similarly, $\\texttt{system.hamiltonian}$ defines the TLS hamiltonian of the system $H_\\text{TLS}$. The total spin operators $J_\\alpha$ can be defined with the $\\texttt{jspin()}$ function. \n", "\n", "### Defining the Liouvillian (Lindbladian part + Hamiltonian)\n", "\n", "The system's Liouvillian can be built using $\\texttt{system.liouvillian()}$, which includes the Lindbladian part and the Hamiltonian, if they have been defined as attributes of the $\\texttt{system}$ object. The system's Lindbladian (the Liouvillian without the Hamiltonian) can be built using $\\texttt{system.lindbladian()}$. \n", "\n", "Some important properties of the Piqs object can be visualized by simply calling $\\texttt{system}$ (i.e. the object's name) to screen. \n", "\n", "Below we give basic examples on the use of $\\texttt{qutip.piqs}$. In the first example the incoherent emission of $N$ driven TLSs is considered. In the second example the two-level system ensemble is a subsystem coupled to another subsystem, a bosonic cavity. Similar considerations apply to the coupling to different kinds of subsystems (a single qubit, another two-level system ensemble). \n", "\n", "#### Limitations\n", "The Liouvillian derived with $\\texttt{qutip.piqs}$ is permutationally symmetric. It should not be used to derive information about the full Liouvillian spectrum, including the Liouvillian gap. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "from matplotlib import cm\n", "\n", "from qutip import *\n", "from qutip.piqs import *\n", "\n", "import matplotlib.animation as animation\n", "from IPython.display import HTML\n", "from IPython.core.display import Image, display" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $1$. $N$ Qubits Dynamics\n", "We study a driven ensemble of $N$ TLSs emitting incoherently,\n", "\n", "\\begin{eqnarray}\n", "H_\\text{TLS}&=&\\hbar\\omega_{0} J_{z}+\\hbar\\omega_{x} J_{x}\n", "\\end{eqnarray}\n", "\n", "\\begin{eqnarray}\n", "\\dot{\\rho} &=& \\mathcal{D}_\\text{TLS}(\\rho)= -\\frac{i}{\\hbar}\\lbrack H_\\text{TLS},\\rho \\rbrack+\\sum_{n=1}^{N}\\frac{\\gamma_\\text{E}}{2}\\mathcal{L}_{J_{-,n}}[\\rho]\n", "\\end{eqnarray}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "N = 20\n", "system = Dicke(N = N)\n", "[jx, jy, jz] = jspin(N)\n", "jp = jspin(N,\"+\")\n", "jm = jp.dag()\n", "w0 = 0.5\n", "wx = 1.0\n", "system.hamiltonian = w0 * jz + wx * jx\n", "system.emission = 0.05\n", "D_tls = system.liouvillian() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The properties of a given object can be updated dynamically, such that local dephasing could be added to the object $\\texttt{'system'}$ symply with " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "system.dephasing = 0.1\n", "D_tls = system.liouvillian() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculating the TLS Steady state and steady expectation values is straightforward with QuTiP's $\\texttt{steadystate}()$ and $\\texttt{expect}()$ [9]. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "steady_tls = steadystate(D_tls)\n", "jz_ss = expect(jz, steady_tls)\n", "jpjm_ss = expect(jp*jm, steady_tls)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculating the TLS time evolution can be done with QuTiP's $\\texttt{mesolve}()$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "rho0_tls = dicke(N, N/2, -N/2)\n", "t = np.linspace(0, 100, 1000)\n", "result = mesolve(D_tls, rho0_tls, t, [], e_ops = [jz])\n", "rhot_tls = result.states\n", "jzt = result.expect[0]" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "j_max = N/2.\n", "label_size = 20\n", "\n", "fig1 = plt.figure(1)\n", "\n", "plt.rc('text', usetex = True)\n", "plt.rc('xtick', labelsize=label_size) \n", "plt.rc('ytick', labelsize=label_size)\n", "plt.plot(wx*t, jzt/j_max, 'k-', label=r'$\\langle J_{z}\\rangle(t)$')\n", "plt.plot(wx*t, wx*t * 0 + jz_ss/j_max, 'g--', label = R'Steady-state $\\langle J_{z}\\rangle_\\mathrm{ss}$')\n", "plt.title(r'Total inversion', fontsize = label_size)\n", "plt.xlabel(r'$\\omega_xt$', fontsize = label_size)\n", "plt.ylabel(r'$\\langle J_{z}\\rangle$', fontsize = label_size)\n", "plt.legend( fontsize = 0.8 * label_size)\n", "#plt.yticks([-1, -0.99])\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can observe from the plot above that the driven system relaxes toward the steady state due to the presence of incoherent local emission and local dephasing. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $2$. Dynamics of $N$ Qubits in a Bosonic Cavity \n", "\n", "Now we consider an ensemble of spins in a driven, leaky cavity\n", "\n", "\\begin{eqnarray}\n", "\\dot{\\rho} &=& \\mathcal{D}_\\text{TLS}(\\rho) +\\mathcal{D}_\\text{phot}(\\rho) -\\frac{i}{\\hbar}\\lbrack H_\\text{int}, \\rho\\rbrack\\nonumber\\\\\n", "&=& -i\\lbrack \\omega_{0} J_{z} + \\omega_{c} a^\\dagger a + g\\left(a^\\dagger+a\\right)J_{x},\\rho \\rbrack+\\frac{w}{2}\\mathcal{L}_{a^\\dagger}[\\rho]+\\frac{\\kappa}{2}\\mathcal{L}_{a}[\\rho]+\\sum_{n=1}^{N}\\frac{\\gamma_\\text{E}}{2}\\mathcal{L}_{J_{-,n}}[\\rho]\n", "\\end{eqnarray}\n", "\n", "where now the full system density matrix is defined on a tensor Hilbert space $\\rho \\in \\mathcal{H}_\\text{TLS}\\otimes\\mathcal{H}_\\text{phot}$, where the dymension of $\\mathcal{H}_\\text{TLS}$ is reduced from $2^N$ using the approach of an uncoupled basis to $O(N^2)$ using $\\texttt{qutip.piqs}$.\n", "\n", "Thanks to QuTiP's $\\texttt{super}\\_\\texttt{tensor}()$ function, we can add the two independently built Liouvillians, being careful only to place the light-matter interaction of the Hamiltonian in the total Hilbert space and creating the corresponding \"left\" and \"right\" superoperators with $\\texttt{spre}()$ and $\\texttt{spost}()$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# TLS parameters\n", "n_tls = 5\n", "N = n_tls\n", "system = Dicke(N = n_tls)\n", "[jx, jy, jz] = jspin(N)\n", "jp = jspin(N,\"+\")\n", "jm = jp.dag()\n", "w0 = 1.\n", "wx = 0.1\n", "system.hamiltonian = w0 * jz + wx * jx\n", "system.emission = 0.5\n", "D_tls = system.liouvillian() \n", "\n", "# Light-matter coupling parameters\n", "wc = 1.\n", "g = 0.9\n", "kappa = 1\n", "pump = 0.1\n", "nphot = 16\n", "a = destroy(nphot)\n", "h_int = g * tensor(a + a.dag(), jx)\n", "\n", "# Photonic Liouvillian\n", "c_ops_phot = [np.sqrt(kappa) * a, np.sqrt(pump) * a.dag()]\n", "D_phot = liouvillian(wc * a.dag()*a , c_ops_phot)\n", "\n", "# Identity super-operators\n", "nds = num_dicke_states(n_tls)\n", "id_tls = to_super(qeye(nds))\n", "id_phot = to_super(qeye(nphot))\n", "\n", "# Define the total Liouvillian\n", "D_int = -1j* spre(h_int) + 1j* spost(h_int)\n", "D_tot = D_int + super_tensor(D_phot, id_tls) + super_tensor(id_phot, D_tls)\n", "\n", "# Define operator in the total space\n", "nphot_tot = tensor(a.dag()*a, qeye(nds))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wigner function and steady state $\\rho_\\text{ss}$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "rho_ss = steadystate(D_tot)\n", "nphot_ss = expect(nphot_tot, rho_ss)\n", "psi = rho_ss.ptrace(0)\n", "xvec = np.linspace(-6, 6, 100)\n", "W = wigner(psi, xvec, xvec)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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WgFxx+AIKRT5VrTrHDu/fSsptX6jtLvqGrtNyRVlgc99WwBVGQlZMVkpFrRohuedohdT2IbV0U3X2+JTRabAYEZn+oiul1LdbHuIGOl135hU/kJmwq3iA8aNfH1JAbvrNjX5CkU8/cjKC8trjRk+p67K4N3MrlrJJr1UoykKn5oyEmgjIE1I5IB27vCykE6X5peEuQzJaCoK2b26pLEZE0M8E/TpnQxH5PhA13Zp/WfwwA/YhHcs2k87tWgU3JKBQ+s2NfobkU/VSduGKutj1WVwBlGWBohDdT1QUWjB10X1vpLRer4JCsn1Ij9YrjJUR0H/oNQWjovmwCBGJyEsAL3IiGRM5XYvIG6+g4dz8O1TkQI7EvuSTM9V27Hz7KsPel4BC8qmbbboRVXMuN1obGGfOTa+VRdHpG7JiKosClZFSXRQoStX0/7hCWjvH/WVzn5BE0UQAbp+Rbe/ppehYvj15TL/QtSsVEbmEHnGhJxWl1I2IXAXWXQL4yLTctDh0ui33fPsUkN1nrIA29/dZ8on3JcWjIvc6/Bu37Si3xQZt9FM0fUNWSuv1qiMkAE3KDkATHa3X5taz0e1Zr+HRFjC4n+U2/UVk+sxaRE759ZmIfGNenwN4ppS6MtucAfgALStboHDrPvBqtrkC8N3DtZ7EeEj5pM6Vko+7fhcB2fUxAf2yuU9GP5vNfU8+ITG553bb6rbXp+il5cLRkJXSerVqquOskOzx3X2xXgGbex1trdpbUExG9vz2GsZGOHOPilg1N2GMPF5HVvvRzrn7Rin1RkSeGpF9DuAMWl5Myx2JQ1a4jTlXaN3YgUiHBKS3i8kjLaBf7u97ktnc3yejom47+iXiKRqBNIUKOk1kxVQWBdbr0vT91FivVk113HpVoqprPFqtmujISgimj6gu3L6gUCTTLWzYNkVHps1sRWRSaIP/28x2vQdf+fDqNNhWQPsST2r9LgJql/UfRE0JKJaCcwW02VSd/YNRkbN/r0/KSdPpdvY/S1cK9gbfScc5hQlVvWpHVDCCWJtIpzDneYRV8yySHZPOSslN0/m4kUBn0FUnRed+R7HIZ+5R0dKZrYjIfNlGPmPEk3OOHPn426XSWrmVcENFCBsbCQ0IaLO5b6KfUPTUrPf6hvzChSEG03HrVacwoapqrNdlc/y1k3qzqTp93LqNjBwZ6W3caSVq+P1F9nuJjdCtv8dlRUUsViBkT4wV0ENEPfo8cfkA+xMQAGwasfSr4LQ88gTUX9am6aIpukhEVAU+57JsCxMARIsTrASskKxQbGqug03LOe/LWoum6HzGRUCS6RSd+90xKpofFBE5KIeST85xc6Oe0Pax9Fu7bXo4nqFChDaisem4yhFPP9rxBeRGTm70s7mvooULVaU6bfWvyceNhnQ6rhsNFV5fkI1+dFQUubWsVyirGnUh2BgpPVqvUFdmtIbalmt3RRj7vk4hKhKRxQuUIiIH4RAC2mfUE9snJaDUdAy79ANZubj9PUMC+mVT9fqImhSdOZ+7Tbd93etxrwno9suEihOslGwUVFUrXbBQ1ajrVVxCHut1Gzlq6eniBVvsoNNx7veTFxWR+UERkb2xb/kcOupptg3Ix12+TwHlRDO2Ci4sJb1PPEWnI5/Nfb/fKJRCDH1WoYdY3eKE0hQjVJXCI9MfVNW1GS0hTFHq9FtZ6yKDqqhR1AWKSsvGTdG1UVGJekQ6LVRBF9tmbrCPiJAMxkho7Hhuuev3KR+933gB2e2iqbJIGq6JeEwfjyslV0B2H3/7foTUr5hz+4bcAgYfv2LOT8c9WpdN+s0eOxYFlaUeUXvj9g3B9DmZFJ0bFdVVNyoqy+73VxZtv5P7kGuMpaTnlg5FRHYiV0DbRj+HEA/QH1Ugla4aEpC7bl9pOLuPLyS7vS8g9xydlJztH6q77Q0VYFjakRQK1KXCBnrmVf08UNEUJdQJAdn9XQGVhZ4mwoqpLIpeVFQWur+pqOtGYnbf9vupO+0Elp2e0w+0LlumFBHZin0IaKx8dhEPEJePPkb+dNw5IyIMVcOl0nBuP5AbIeUIq5Oic+TTf7C1HxHaG/vm3qmWc/qH7KgJj2xRQiISKQrB5v6+OUZR1I1gbIququtgVFSUbt9Rm/qLpadCRQtLTM8tGYqIjCZHQrtOp9AeJ2/bseLRx+mPubZPAe2ahusJx0/LeYULzfaOlNzUXGdUh8Dntbm304EXTRSkp/C2IurOIRSKQGzUs9lU7ev7Sk+o5yyrqjraV1RXbZWYTc/Z72KboW6Ynps+FBHJZhcBjYl+cuSzi3j8bVPy0e/jKTh7XC2E9IOloSjIlUpOGs4WIWw294MCatN1qtP20GflYqcDt1FQVdSNkNbrFTZmBIRHWGmpOCL5ZVM1hQlNBFTZ6KZdtjbtsa9736WXngs94GpZekc+wPJtQgAMS2iMgHLks0s/T3uMbpviRQnjBGTbu81DqTlRUH9dGxWFChfs+m7lXN1EPm4be9fufG9uP0RngjtHSED8xl+a/iPb/+NGQHXdfqb282wGRY2k5+x3kVs9t+R+oqVDEZEkhxRQ7ogGzfo9i8dd7srHvver4Gybc9JwQ8UIOVHQZnPflGKH+o1+udfb6+26EZAvIP1a9T6L7uep/22e6anrRkh6kNKi85nUpp/Hj3rWMA+4ms96jTZqtJ+hvfO4r/fNUvqJRMJp0CVBEZEgxxLQGPnkisc9R/iB1W5fUagM254vJKBQGm6XvqBUFOSn4VpB3XcE1KYJVedaQp+/ix3Ruu0PMts248IBWKNJxRWFmIKD2shJn7M0abiOlIys1quy94fBGmWvLX4UlCpYIPOGIiI9tpGQv88u0U9aKOl+ntDxQ/0iKfnY9zb6sctjAtpmaJ5QRZzfFzQUBblpuM19FYyA+jLNq3Zs0TLSz/WYirSqRtmk28ICsctDzym5YrLj0VW16vQV1dX2Ecucop082EdEToiHFtCYh0r9bfrbpY9bB44Tko9ts5tKGhKQm4ZrRk8IlWmb9/6Dqanihc62iSioO3ZdV0BV3ZdQajQFn7Ism311FOQ+VKo66beOTLzvoTcIqofepr/crZzbFlbOTRuKiBxcQLHoZ6x8dhWPu19MPnZdr0ghIqCcEbJDZdZ+ms59MHUoFef2BdnX7bmrXgQUSsnZay3NKAr+RHMuVaUw9T/IlxcFtYgsvzKQIjpx9i2hMZPJuctzS6tjx8oVT2eZJx+7b6ePaEBAoVlSQ1HQtmXZsYIENxWnl/WjIF9Afp+au6wspFd1tkt6DOhPNZ6iNM8sNfu6r4Mzt/r7L/tGvXQoohMmJaFDCigU/YTXDRcYuMui+0RuyCn5NK8HBOSm4cKRUXiQ0tyquFBZ9lgJ+QKy192daE410ZHdN/fm7m/XeejVHbeumW68O/14LpTNcqGITpRdJBRLw+UKaOyIBu02/f22FU/sXFY+dv+UgOzN3+0fig25M+Zh1n1KqPM9BVKkoZSPO9BpZ3nZF44VjZ4iQprj+SN4+8dwt4sJZunpqDEsXcIU0Ylx6Cgo1f8zZjw3/X64wKCzLJCCSsknJEi/cz8loKEoyJXUmIFN7fptJOR/N6F0XIgykv5yJ8TT27Vjz9n3hScXd3bXdr++pNxoqfCmm2ja5R0771qWfdNeIhTRCbGvKCglIGA4AgoJKOeZnt45IxFPan8/7dY9Tr/UOSWgzmR0VXfk61gptz9ath8J2X3cUmxbmOAuizHU52cJ3dhtdOJO++BuayMgKyM31Wbf2/0bYRlptcfozrwairzc9SFi0kxe74wr5kRkqzH25gRFdCKMkVBOFBRKw6UElBP95JRVu8cNRV8p8XT2DZQ1uyKw+8YE1PQPeXP/hPqLYlM2hNJxbmFC7UiociQUe0ZoiHAazqTWAhJyo6H1etWJhqyU1utVJy1XmP3Xq1VPWr6k3GipdM5ZJPqS3AjJjczsNXSvbdk37yVBEZ0AMQntKwoaK6Ch4XQ62zvyyenjadobEI/dp3/ssHyadbH0nBcFBfuLzP65ErKjDzSScUZL2IaykGB6zhWQfh+W0Hq1aiSxXpdYr/RU4Ot1iUerVk5WVI/WZUc0rqS6EZJk9Q+5EdQp9xnlVA7OGYpo4exTQvsUkP+cTmdbp9IrJJ+caMc9Xkg8th32OJ12DqXnnKKGUFqtSdfZFJ2JXkKFDL7kaicC8x/gzcHOxWMFo0uw+zexXtSRkJCWT9mLbgojoPWqRGFE5UZD6/WqI6n1quxGRUU3dWf7h/xIaEhAjHzmD0W0YHIlFEvF5UZBoT6glID8m749V+yB0v5xdhePXe5HPu3ywMjbnoBcafWmBI9IqHucbpWb27YQse+zKIvOd2VlZNf5dKrYAgIqnPSZKyEdCWnx6H9XKI1w1isrm1Y+hZGPKyn3dWmipZy0nCsq+zrEEqUkWOZ1uVBEJ0ZKQttGQdsKKJZ2i8ln3+Lx94mm5xICCkVMbaVbQEJ1v2/HjYZ83O/EFYy/LHd0ZveG5goIQCcKsjKy6bjSiX6seB6tS/zqV4+a1+v1Co/sNmZZWRZ4ZPuXiu7rWDTU9v+0UgyR2z8UKlRY+o19blBECyX01/M+JeSn4YYE1O9z6Q8m6r73S6rd9vjRiz2X28bhPqdwmjDWhpiAAHRScc2zPE4xgS8y9zNPFpEMlF7reYLqLBmFnuuxEVDz2omCikLwyEY1NsXmSSj02m7TiqtN09nXY6Mh+9otAfevZdGIcBoIMj+2lVAsFZcTBXWjh7SA/OgnFPnEigu2jXaazyFVIDEg2tyy7k5FW0JmQ+gO6m4U1N547bJWKnVwO/d43ed83GjDFVBbnLAyKTbBo6ZIoR8VNRKyr52oyC6zUc56vTLH6i5PRUM9+USq5U5CSguFIloYu0polygolYLz5/Lp7heWTypt1mnjiNRc7Nr0+nCxRUxA/WvsSyiWchuLO1V294brHjvQH+SlpXz5tDf7bnTiR0GNmBIS+otfPeps40ZFNmXnp+Rs1FUE2tJew7hoiGm5+UERLYhUmie0TY6EhqIgKyC7fT9CCE8m1x6nP5abbUuqum6sdNx1IfF0l4cjsF7xgrfdPiXUjXxSD3c6hQmRzWJVaCkBuVFQYcqy2/Ra+/4vfvWolZMjIVc8j1yBrVe9lJyNhmxq0LaR0ZCGxQozQES+AfAYwA2ACwA3Sql3h9pvqsQk5EZDu0poKArKEVAq+onJZyg1F4t0OstyxrdLyC0UhXUeinUk5OP3DcVwb7C278e8s1u0/UFmXV3XyafuOyNgN31DngjKbkrs0WrVlGH3o6KyF+XEJBTrF2qq7Mr2vXv+nEq5baMhMk22FpGIfAXgEsAZgA9Kqf++pzaNacMFgGul1BNn2WsRuVFK3ex7v6myTwkN9pN4ArL7tyXLoZlCuwIKyceexxdae/y8vh29/bB0Qtevt8svevAl5J8rB33j1FFPVQ1NhW0jn7Jp59Bfys0DoaUbBRW9m72bNmtHUpBgFJQq6fYlZMUV6hdar8pgSm6oUq4R6hbR0CwjC+mnJZfGViISkf8I4PcAbqGjCYjIzwC+V0r9zf6aN8gVgJfespcArgE8O8B+k+OQEkql4nKiIHf4m9yRrAf7Y0am19xr7S1PDKqaOpYroNh2fgRUlkVnmb2JVk3kE0/BudVxzT4DM5Z2IgOvT6h93abE3AjIjVL0MulEQW4VXLBYYdWNnnwJuf1Cdlv7oKybkvOjodhI4cFrZjQ0K7aNiB4rpc7tGxH519A38N+KyL9XSv1mL60b5in6QnkP4O2B9psFoVETgMNJKBYFbe6rUQJKySfWVxW6LneZ3i49d1G7XWT/wD5V5DMO4Q6zUzgyCcsIAIpGXI2EnLRUMZDm62zriUe3JzScj4mK7EOnjoDsg6qhKMh96DUkKyshvzihGakhUiU3lJLbZly5WUZDMH1ELN8O0klfKaX+BOAHAD+IyH8Wkb9SSv31zq1LICJn0NHYrdeWOxGBiFyE0mzb7jdFxlTIjZVQpy/EisWZ7sCPgvxRqN2pEIYmk0vJJ6eSrbn2QEouJZv4ZxjfxhVQTFwA+iKxpdiB9JsdGcH2/5SFEVVRmvN0t1+vwxFX55iBUa7tuWL/VdbbAAAd00lEQVQ3e5uC8wXkptHcKMiKxabi/PduVBSSUPvwbL/Pyh+WaExKjtHQ/NhWRLci8pVS6n/5K5RS/0VE/mq3ZmVxbs53F1l/AU+YO+43KcZWyIWW+/0avWddBlJx/rA2di6edvTp+2wB+fLpRWSZVXL+dcU+h9hzPNHPbEQEFMPKKIUrJdue0B/D61U8Nxe6YbuRkZ/ususfOUPvuJJwiwv8KKgt6+5HTG6Kz5eQX5wQSrulRtgem5KbazQEAJDtpr6YE1uJSCn1dyLyBxH5rwD+qJT6v94mn+3etEHOHmo/EXkO4DkAfPnll1uedn/s2i8E9KvjxkjITcX5w9e4UZArqjEC8tN1ur3xaSL8601FNNHPdKRofNl1y6j76TRnT7N9iapWbdGA+90U7et1ZvtjfUJ6naCboutP8+D319gIyC9ccKOeNkJyBjltxNQKq0n3RSKhnH6hXarkZi2hE2HbYoUfAXwO4G8A/DMRuQHwDrqP5QLAB2/7f6OU+h87tvVoKKVeAXgFAI8fP979T+MDMKZfaFsJNRGPl4pz+4LcGUa7+7XH8+U1JJ9U5Zp/nfq6jvMV+TIaoijaaypNGs6Vk2Wdff7ujKfh54a68mmf5XGilYSAOsLx0nZt2XdXQh2pjZCQ+7kC4RHDhz8TSmgObJuae6uU+j3QlEL/GsATAH8NHXF8EpF30AUAfwTwWwAHKWAQkbNEmm3v+x2bffQLAV0J9c6RKSF/Wmw3CnLn4ulERt5EcqlihaE+Ib9qbehzipF7s+qkiJzX7vlDx4oJKhQ1rdHv/0kRKkxw2+GKB0BPPm71nD/kTjvpXdFJuwWl5EnLXeZHW7kS2rVfaCkSErB8O8aNiPwnAO9MpHMDXc5tK+guocX0W7P8EH+i2n6ccwCNUEwxgrt+X/sdnX31C/k3Oj8a2kZCdkK47vpQZNQKKNSH1LTRk09IOql+oVyKIjyidYi6Dj/nkxf99MUVO8965G9lR0Blt0ihN8K2J59U5VxIQP6yNq3X7veo2bYrpn1KiKXay2LbPqI/AvijkY6/7k/Q8nEjph93aWSkDXcmJej3+ZwDuItVvm2731TJTckB+cUJKQltGtFUwVSc7Qva3Fe99F1KQKHUnPugaLBfKBI52G2GBFGW3YFC3dJqoC+K2PH88dyGKIceAhra329XKI0VEI99P1Q5F4ySEn1HhSMlf5vOvqaMu2lHQkL+tZ1UcYKPsHw7iZHO0DY3IvK7Xc6T4B30MD0fnWXfmOWH2O9ojImGclNy0X4hRwx+JORLyE/FbTb3nfV63/BU2iEB+fJx+7OAUEVcPNiu6gpAuOKoKNoHTO0veSzisdu7+PIJ3fh2Gbp/6EYaSsPpdtmbeV88dr9Y5ZxbJdeTyMqdzK6VSigKyukPsm2NSci2O/W5nISEToQHGWtOKfV3Bzr0CwCvYQoJDFfmB0CTcvsAPaTPq9z95kCsSi64bSAl56+rPTnZ6jg33RaTkBsZ+VNiu1HSkIBcKdq26esLP5Sah3vTlua4TQRUjRivzbn5dW+KYTH4+4fI6nQPtK8o+m3xIwj/uZyYfELFCyEB+Wm4oSgolorTbcyT0KkXJ7CPaOKYNNsLEbkG8BN0xd51IL12vuV+k2BMx3uqSg4Ip+T08jZKsYJwS6ub/p2IhPpSivcf2eO7kZJfyafb3h0sdJt+ID/ysUIrC0lGQH6KS+/f739x3/e2D0Qq3bbFU3o5EdZQybZd7ve7DMnHX5cSkB8FuYUMtj2h/qBY2/zrjEloycUJp8isRQQASqmP6KbY/PV3CDzXNLTf1BkTDQHDKTl7nLqJUrql1lYs7TTYcQlZwcT6j2wEtLm/70U/qSF8utfv9O1EopmyKEZFPj7tzT0tIP9ZFz895rYn1eagfHopQV9G0tkuFF247Qmm6vYkoFQUZNvmP9PktsH/XCghgyz8+rAAEZGWoWgouE8gJedGM6Ex42z6LSYhPxXn9h+5KTjbh6Tb2h9ayL0Wd1noukMd+HZ5KvIBwjdvV0IhAYXk4w+r4+/TLMuUS+d6ItFVKAILtSW3eq59HetDSguoPX88Fedu47exdy2nLqETgSKaODnPDQ0eIxEN2fV+Sg5AU5xQVzV+ub9vCw3qdvtQJORXzYVKuWNt0tcXKLIIfA7uDShW6TaWkIRiAvIjDSARLXVust0HT5vlnpB6worKKB6x5UZG2wjIPW5oCoehVFyoze4ySuh0oIhmztBzQ8l9TTQEoBeZWMnYfqHabPvL5r6NhpzIyFbX2SgpJqHUA61uu/3218HquP6DpE0UVNWdqMgl1UcRklDsxmvfx8Z088/lLneXue33t9HbpQskgn1FCVHG5GPPnRKQ+1m5AvI/w1gU5Lcxdh2UUAtH3yazIfbcUKjCbCgaah9srTspOSsOKyVXVrb/KPS8UI6EeqXnibLs9vpUc5MOCSdF4d282xvo8CgEAMKS8v76t8ti6TO9XVgy9vyhdTnHC93ku9cVlk/3/XAE5H9+OZ/DkExzJESWBUW0QPrRRPfm3y4PR0MAgtGQn5KzsqqqcKouJiF3SCDbXl9AQyXa7bM/CrnVZ6HO8pCEQgIC+imtoVLkXEn47cyJlHJKt/vLh+XTbDcUCUbScKHzuNc0dO25EjqVaAiAmaF12TKmiGbG2P6hGL2RrCN9QznRUG95s49KSsiNgnIF5LY/+eyPlwJz/0oHxkkoJqDhG/u4aju7X9vu/GeWQtLpnCMiSF8+9ljRaxkQkH/O3Cgo9J4SOh0oohnTi3wynrkJjVbgFwXsEg01AjPVcc12bln2gIRSlX5DD/b5f127N0q7f0xCwXHREgLyb7RZfUeZqbmciMGXjvv5pMu44/Lpb9tPwfnnySkhz72m9tooIYtg+ddNEU2Y3AdZowULbunziLRcjDHRUO3IyT2/L70xEgoRK5kOpc7WZjRRdybSVBTUGeomUVFm2+EeSy/LT88NycZeQ3vd/SgqFWHZPp/QOWPt3JeA+tdBCZEuFNHCsdHImO1jabnecSPRkLsN0B2exz2uJTcdFyt17leBpeURkpA/2Gd3pIAyKKBQNVoqPZeaTycV3fjXO9SH1F0/Tj5tuyNpxISAOssGoqDQ+1RRwklLSLqf4xKhiE4Q/8Yfmza7t19ESv3jK6f4oDu1Q+e8IwQZjgBkawkNDezpHiMnZWfbEBOUXW+X6fcSvbbe8qxtutLpnHMgNRhNp3lRZfy7OEwUFNueLAuK6ISp6uE+pdC2PjYtdyj2JaHeDKSBKMguS02NkFtV57ZNv06nsuz2/rX2t3GipsjNPp2mG5aPu35fAgq9HyrNpoROA4qINARHcUhIxk/FjZVRUQhqMzW2jdJixQihPpZQQUAoikkVJPhRUCgN5wssFh2F2zVcyhxaZ/ftfF4D0okfUwLLwvJxtxn7MO4YAentGQXlIJDFfx4U0YQpi/7soVOmLIrsNJ9/bfYm56YNQ6XM26TiHq192awagaSmxw6m6yLpuW4qLj2m2pB0coTjr4uWfSeirpR83PU56cJ9peFi+5BlQxGRJPaGuwmu0zfiom4HF7XY90VRoKqraKTjDtNjjtqc1yUmIAAdCXUr3bafZTQ2Q2lqkFD7mcTkk9ufY48TWm6P1W7Xl05q/3jBR15/VT+1tr8oKLbPySPDjy3MHYqINPgy8deFZBTcthTUtf7lqara3OS6v0h1FR6SJ1QcFOr437YvyBWVn4ZzI6WmvyhDQG6Hfr/fyEtzlf0bel4fkSdm74PaVjypbXKiH39d6L3ehwIicSiiE8YVj5XG4PalQlXbiEOhrgvU7nKbYivMc0rNTauGL6Mh/L+2QxFQTkWcKya3GMGNdnIKGWIC6lfN9eWTW0ig1+dLxz9Ob12GfPrn305AsWXsC9oN9hGRyVGU0hvmZ2xfUlkWqOvKOaZOnzXviwJFqVB6kkm2y9yw60L3E+nJ5ArvhtfKqDAStL9glZfWc9ti26zXpZ8L2iYNF+oH8sUUE5Af/YTkk1PB5i7zrz30uQTX90ThFTtExNdbl0i/hdbHljEKIrlQRDNmSEDtzUYLwE27FYWgqkwkVLtTaccjo05/UKmPV5mbOjb3jbDse33eFTb398559Q2yMtVygC5QiN1UY+OX+QIKpdJiaTg/2knJa0hAbvQzekifSBTi7hdb7+/vflbRY44VHQU0CUT6393SoIgWRFG2VWs24uisNzeAuiMeI5aiht28NJKpiwKVK5/CS8MVBR6tgV82raQerVf4ZXPfk5EuXNAPw5ZlgcIZ0qcsyv619G7gfv9Qui/HrYZzp7oe6gdqIqUMAcWin5h8ctJf/jp/v3af9Cyusf32IZ/UcqbhyDZQRBNnbNotB7c/yO8ncqvdQuk5VzgAsNncN31FWK+w2dx3ZKQlVqOqBUXlnis+tpx/k26lNDxCdqoce6gfqImgMgSUM1iobnMRvKbQtbrbd5ZlSCe2b3C7AfmEtokta4/BKIhsD0W0EFxh5chL37TqJj1XmPe1k54rC+lFRVg5AjIpuobNPbBetfMMVTWKukZd1B0hAUBRDd+YyjI+kvWQgIb6gfzI6NFqtZWA3OhnG/kMpdf87WP7JbcNps/yRUMBHR/OR0Qmh1uw4EvHT8+1dKvWguk501fjCsaNirAGsEGTosPaHs3pA6pqbHCPNUwBg5GaFdIaujBhvY6PcRetlvPkkzsuXKqKrnSW7VtAfrGCu41ev3/puOftbR85ztjoRx9r+MZICZFcKKIZsE16bmiftr+oam+YXlSk19dGOm1BQvPfZnPfyMim2kozfcBmc6/lU9WNkAAdJVkZpf73hfpZQpFRamTsHAEVXh9SjoA6bdpBPvuQjnvO3j6JDu5DRD85xyDjYfk2mSxjyrj96jmL7gvSZdY2KgKAoladG+raREJVWbRBkCej0hGXLUQoqm4UVFc11qtSR0Qog6Nvx6bA7hYqxFNoY0ux+xHUfgS0zfM7sW062ydFsd1++4h+co5DSAyKaAEMpedioyW0N7zuKAd1UTcRkC1AWBsD/WLSbhr938dGPoAtxdaVce1keErLaaVF1UREietx25d6hiiaqhsQkN+HFKqCGxLQNvIZI55hQWwvl33JJ/d4ZAc4HxGZCrnpuVjRQiwqArQ8OqXFTooOaEdHsDKqCis5c+O2BQkmJdf0C5ly7TXcGWJLVLVyZBa6hu5NPDR8TmpKhpzRENqKuXwBDUU/ufLJLSjo7DNwI8oRQc42FBA5BhTRjBlTtOBHRc3DpLWVUCuo2txc3MinKOo2MtoAMKXZADoFCbYddibW2kxBvl61UVDOdOChB0JTM6IOCchPwdlz2DTcWAGFop+YfMaKJ+ev332JR5+P8pkyguV/5hTRjNglKvIr6Oz03aW3XMtoBZjREDqRy3rVPgdUFyjtQ6lOQYJfsm3Xp/qFQvjTPoQeGh0zFlxuCi42XXZO9DNmpIRmuz1JZ8x2+rzjy4GXfjMkx4Mimjk5UVFuiq67vCujoihQ1nX7oGpVozbRhF8hZ4VTGQHZviGg3zdUV3XymZZUZBSajO6hBJQT/YRu3PtIsW2zrT435UOmCUU0M4aiIru+iYQiKTp9wxyWUVHr54LsskfrVaf/pzAPvla1aiKfKiAloC3dtvgl3P5NrzdKgRP5dN/3J6LLrYLbVkD7kM8hpaPPu91DkJTPxBCWb5MZECrlBtIpunaIn/5cQRpHUqtVk2qrK2miI19IdSFtys70CVVOem690mPK2WVr9MeYc3/h/Ll7umm6uHyAcP+PPcZDCGjMyAXbbuezrXh2PS8hu0IRzZBQVDQmRefeQPWgoxky8paXRRkVElalfl3r547qqo18qrpOVszZ9rtt18u6M6A2r3syCqff2m12E9Ah5POQ0c4+zk0eFgHLtyeLiDwFcAHga/PvS6XUm4F9zgA8B/AGwC2AcwBXAN4qpd4dtsX7ZdsUXai/KCWjskSwEEEfoy8kWx3nlm1bMQHdKKgtmAjfVGMSCEU+QLygQb/PewZoHwJK3dyPFe3sow2EHIpZishI6MaKxwjmg4icK6VeJXY9B3BtfgDgDsB3c5NQjKEUnSsjAM2UDM1rR0a2P6mVnY6O7IOqrpCKEk3KDgBKW5jglW3b81hikVHopt+X0fAUDLHop3OcsujJJ3Q+d197Xp/YDf4higqGoHxmjMT/WFsKsxQRgAs3+lFK3YnINYCXAFIiAoAnAN4DOFdK3RywjQdnTIouJqM+4XRcI6aqLyQAXrl298a+RvjZIXcCvqERB1zx2Oux2/RlFR6CZx/9P7vO1xPiEOIZ2wZCjsnsRGSin9+IyCul1J2z6p1ZfzEkGLPfXWqbubCrjPwChraaDvCjI/e13rZsUnZlUXSkBKB5D7RycrHFCyH8Ebib5V5kE5r/J3cEhJSAtkm/HeoB0hwoneUikM4fRktkdiIy0c8FdL/Qx4c4p4g8h+5bwpdffvkQp9yZbWXUJVas0ArJ9iEB6IywDXRF5D5LlNX+SEQSEo+7/ZB8Qut2iX5yBLBv8VA6ZGnMTkQAoJT6LLD4EsBdRrrtwvQxAbrP6HaoyMH0O70CgMePH+cNDfCA5Iy4kCsj228Uio7c5XUd2g9NpAS0YgLQRE3Z19Qbny0+3bYvH3e7Q6Xfhq6FxQWE5DNLEUW4AvC7gW1uAcAVj4i8FhEMyWjqDKXo/G1cGeXRTdc15whICUAjJqArp+zrSQwUGkzVbTH2Wyr9dkz5UDykg4T7UJfEIkRkUme3SqkfUtuZviG/mOGl+Zm1iIDtZaS3y0nVAVZIZVE25dfNuZy+JHszTR8r75r8czTrthx4dJ/Rzz7kQ/GQU+eoIjJ9PbncesUJ7jGulFLfbtmMG+h03Vno+HNjGxkBCEZHwxLpS6kZ1TswXXluH1FwtOqeMIanXNj12Z+YIDiCAXlIWKxwQIxArgc3bPkJQCjiuQbw68xzfh+Imm7Nvw9W/HBoYjIC0ClgADAYHdlthn4RiqIrmlDEtE16IfT8RG9k68xRr48R/VA6hAxzNBGZooJnuxxDRF4CeJETyVjxicgbr6Dh3Pw762eKfGIFDGOjo/QzR2nsbmOq5br7D0dGQ9Mt5D54us/oh/Ihe0WW/39qtn1Epl/o2pWKiFxCj7jQk4pS6kZErgLrLgF8XEJazmeMjAAMpuu2lZKtthuzfYycSeZ2lY8+Rr6Aln6TIOTQzFJETvn1mYh8Y16fA3imlLoy25wB+AAtK1ugcOs+8Gq2uQLw3cO1/mFJyQhAtpD0PttLyS1kyNk2RjxyyRcNBUTmhIBVc5PDyON1ZLUf7Zy7b5RSb0TkqRHZ5wDOoOW1qLScT+o5o9D4dDEhucv8G/8uKbxQe1OMnd9nn2XXlA8h+2d2IjIptME7h9mu9+Dr3J8X2hZfLi6h6Ci2T0hK+hjhG3RdhffNYZdptPf9zA8FRI6GsGqOLIyh6AiICwmIS8klR1BjyREB5UPIPKGITpBUdATEheTum9r/oW7ghxjnjfIh5OGhiE6YoTHq3Jv4kJR8hsa+G8Ohp1SgfMiUEYSfp1sSFNGJMxQdWYakFDvuQ0D5EDJvKCICIF9IQPjGnyOnfbDL8DqUD5klsr++1qlCEZEOY4TkcqhZRneF8iFk+lBEJEhOUcJUoXzIkhDI4v9PU0RkkClLaem/oIScAhQRGUXOs0OHPhchpwYfaCUkA0qDELItvHsQQgg5KoyICCFkwogsv1hh2VdHCCFk8jAiIoSQCXMK8xEt++oIIYRMHkZEhBAyZQQoFj7oKSMiQgghR4URESGETBiBsI+IEEIIOSQUESGEkKPC1BwhhEwZWf5Yc8u+OkIIIZOHEREhhEwYwfIHFaaIyKwQ6T9PodTDTFNOCDkMFBGZDSEJhZZTTGRRiLCPiJC5ISJRaRFCpgcjIjIblFKjBGO3ZYRE5gwHPSVkYmwjFUZIhEwbiojMjm0jHAqJkGnC1ByZJVZG24iFKTsyKwQoOfo2IdNFKbVThEQIOT6zjIhE5AzAcwBvANwCOAdwBeCtUurdwL7fAHgM4AbABYCboX3I9NklQiJkygiWX749SxFBi+fa/ADAHYDvMiR0AeBaKfXEWfZaRG6UUjcHay15MPzoKCUmpuYImQZzFREAPAHwHsD5CIlcAXjpLXsJLbRne2wbmQiUDZk9wvLtSaOUuhsZyTwF8NFb9t4sJ4QQcgRmLaIxmH6lC+g+pQal1J1Zf5HY97mIvBeR9//wD/9w2IYSQoiD7SPK+Zkrc07NXYiIjWTOAdwqpd4ktj8HWvGEjgddwNBDKfUKwCsAePz4MXM9hBCyR+YqolsAcMVjig6QkNHZg7SMEELIKGYZy5m+oVfeYlt0QAghy0H0fEQ5P3PlqBFRql8mwG0irQaY54JE5Cy13dB6QgghD8vRRGSf6Rmxy08AfjD7fq+U+sFbb4sQLtCvjAPa/p9z6OeObDvOvPWEEDIZBIJi4eXbRxORKbse/eyOFZiIvPFKt8/Nv7GCgzsRuUG/r+gcwNgycEIIIXtidsUKSqkbEbkKiOMSwMeBtNs76OF93IjpG7OcEEKmh+kjWjJzvbpbt3/JpNeuAHznLhORTyLy3NnvBfpR2JVZTggh5AjMLiICdNm2iDw1zxF9Dp1uexaIks69/e5E5IWIXEP3Odmx55iWI4RMEsHyI6JZighA6nkhu/4OwGeB5R8RLmYghJDFM8UZCGYrIkIIIeOY6gwEy473CCFk7oigKPN+MkjNQHA0KCJCCDkdJjkDAVNzhBAyYfZVrJCagUBEICIXx0rPMSIihJDTIGcGgqPAiIgQQiZOasp7jy9E5L3z/pUzQPRkZyCgiAghZDn8WSn1+NiNGAtFNJIPHz78uSiKvz/Q4b8A8OcDHZscFn538+ZQ39+/2vUAHz58+IOIfJG5+eA1THEGAlGKE45OBRF5P8e/Zgi/u7lzCt+fKVb4GcDXblFCbPlDwmIFQgg5AUwUNMkZCCgiQgg5HewMBC5Hn4GAIpoW/vTnZD7wu5s3p/L9TXIGAvYREULICWEGPf0N2hkIPh570FOKiBBCyFFhao4QQshRoYgIIYQcFT7QSsgOTHGSMTKMeXbmOYA30IOAnkN32r/l9/fwsI9ogvCXZB6YScZe+pOMAXjB6eenjfnuPjmL7gB8NzTzMzkMFNEE4S/JPBCRawA/ud+LiFwCuFJK+SWyZEKY37EL6Ll4zvmHw3GhiCYIf0nmgYh8AvAkNFyKUip7uGTy8NjfMWYYpgGLFSaMUuqow26QOKlJxsz6o83tQsjcYLECIduRM8kY/4iYNhciYqfIPgdwy/T3caCIpgt/SabNZCcZI1ncAoDXv/daRMDfs4eHIpom/CUh5ICYSNYfX+6l+eHv2APDPqIJYvqGQr8k18doD4lj+orIMriBzkTwO31gGBEdkJEd1rcDsyY2vyRTm13xRLH9P+fQ5fUAOmJi/9CEEZHvlVI/eItt4ckFgI8P3KSThiI6EEZCYyKYnwD8YPblL8nEUUrdicgkJxkjaezvpoi88b6nc/Mvv7sHhiI6EOY/+OiHGvlLMivsJGPuHwZHn2SMpFFK3YjIVeCPhUvoKRGYcXhg2Ec0McwvB39J5sEkJxkjWdy6qXOTUr0C8N3xmnS6cGSFCWLKtj9aGZlfkj9CD/PDtNyEmOIkYyQP83t2AeBz6BTrNVOqx4Eimij8JSGEnAoUESGEkKPCPiJCCCFHhSIihBByVCgiQgghR4UiIoQQclQoIkIIIUeFIiKEEHJUKCJCCCFHhSIihBByVCgiQgghR4UiIoQQclQoIkIIIUeFIiKEEHJUODEeIVti5rO5hB4d/Wul1JWIfA89dfgTpdToiREJOUU4+jYhW2DmiPpLpdQr8/6tWfUMWk6vAXzGiQwJGYapOUK2o5GQ4RxmBl2l1BvoCIkSIiQDRkSEbIGInLmiEREFnY7j7KyEjIQiImRHROQSwFullBy7LYTMEabmCNmdJwA+HrsRhMwVioiQLTAVc5ZLAO+ddWcmSiKEZEARETISI5lPInIhIt+YxW5hwnP2FRGSD/uICBmJiYZeAPhgFv0I4Np9z4o5QvKhiAghhBwVpuYIIYQcFYqIEELIUaGICCGEHBWKiBBCyFGhiAghhBwViogQQshRoYgIIYQcFYqIEELIUaGICCGEHJX/D4OzYe0Lb2EdAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "jmax = (0.5 * N)\n", "j2max = (0.5 * N + 1) * (0.5 * N)\n", "\n", "plt.rc('text', usetex = True)\n", "label_size = 20\n", "plt.rc('xtick', labelsize=label_size) \n", "plt.rc('ytick', labelsize=label_size)\n", "\n", "wmap = wigner_cmap(W) # Generate Wigner colormap\n", "nrm = mpl.colors.Normalize(0, W.max())\n", "max_cb =np.max(W)\n", "min_cb =np.min(W)\n", "\n", "fig2 = plt.figure(2)\n", "plotw = plt.contourf(xvec, xvec, W, 100, cmap=wmap, norm=nrm)\n", "\n", "plt.title(r\"Wigner Function\", fontsize=label_size);\n", "plt.xlabel(r'$x$', fontsize = label_size)\n", "plt.ylabel(r'$p$', fontsize = label_size)\n", "cb = plt.colorbar()\n", "cb.set_ticks( [min_cb, max_cb])\n", "cb.set_ticklabels([r'$0$',r'max']) \n", "\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the contour plot above it is visible that the Wigner function of the bosonic degrees of freedom of the light-matter system in the steady state is characterized by two displaced squeezed blobs in the $(x,p)$ phase space. This is a fingerprint of superradiance and it can intuitively pictured as the system not choosing between two minima of the potential. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Time evolution of $\\rho(t)$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "excited_state = excited(N)\n", "ground_phot = ket2dm(basis(nphot,0))\n", "rho0 = tensor(ground_phot, excited_state)\n", "t = np.linspace(0, 20, 1000)\n", "result2 = mesolve(D_tot, rho0, t, [], e_ops = [nphot_tot], \n", " options = Options(store_states=True))\n", "rhot_tot = result2.states\n", "nphot_t = result2.expect[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig3 = plt.figure(3)\n", "plt.plot(t, nphot_t, 'k-', label='Time evolution')\n", "plt.plot(t, t*0 + nphot_ss, 'g--', label = 'Steady-state value')\n", "plt.title(r'Cavity photon population', fontsize = label_size)\n", "plt.xlabel(r'$t$', fontsize = label_size)\n", "plt.ylabel(r'$\\langle a^\\dagger a\\rangle(t)$', fontsize = label_size)\n", "\n", "plt.legend(fontsize = label_size)\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the plot above, it is visible that in the steady state a non-zero quantity of photons is present in the cavity." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " ### Steady-state correlations: $g^{(2)}(\\tau)$ for $\\rho_\\text{ss}$\n", "We define the $g^{(2)}(\\tau)$ of the system as the two-time correlation function of the intracavity photons,\n", "\\begin{eqnarray}\n", "g^{(2)}(\\tau) &=& \\frac{\\langle: a^\\dagger(\\tau) a^\\dagger(0) a(\\tau) a(0) :\\rangle}{|\\langle: a^\\dagger(0) a(0) :\\rangle|^2}\\nonumber.\n", "\\end{eqnarray}" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "B = nphot_tot\n", "rhoA = B * rho_ss\n", "result3 = mesolve(D_tot, rhoA, t, [], e_ops = B)\n", "g2_t = result3.expect[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig4 = plt.figure(4)\n", "plt.plot(t, np.real(g2_t)/nphot_ss**2, '-')\n", "plt.plot(t, 0*t + 1, '--')\n", "plt.title(r'Photon correlation function', fontsize = label_size)\n", "plt.xlabel(r'$\\tau$', fontsize = label_size)\n", "plt.ylabel(r'$g^{(2)}(\\tau)$', fontsize = label_size)\n", "\n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot above shows that the the photons are bunched, $g^2(0)>1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $3$. Initial States\n", "\n", "### Dicke basis\n", "$\\texttt{qutip.piqs}$ allows the user to quickly define initial states as density matrices in the Dicke basis, whose sides are of dimension $O(N^2)$ (by default) and contain only $O(N^3)$ non-zero matrix elements due to the block-diagonal structure, or in the uncoupled TLS basis $2^N$ (by setting the basis specification as $\\texttt{basis='uncoupled'}$). Below we give an overview of\n", "\n", "- Dicke states with \"$\\texttt{dicke}()$\",\n", "\n", "\n", "- Greenberger–Horne–Zeilinger (GHZ), called by \"$\\texttt{ghz}()$\",\n", "\n", "\n", "- Coherent Spin States (CSS) called by \"$\\texttt{css}()$\",\n", "\n", "hereafter all expressed in the compact Dicke basis." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "N = 6\n", "#Dicke Basis\n", "dicke_blocks = np.real(block_matrix(N).todense())\n", "#Dicke states\n", "excited_state = dicke(N, N/2, N/2)\n", "superradiant_state = dicke(N, N/2, j_min(N))\n", "subradiant_state = dicke(N, j_min(N), -j_min(N))\n", "ground_state = dicke(N, N/2, -N/2)\n", "gP = 1\n", "gE = .3*gP \n", "system = Dicke(N, pumping = gP, emission = gE)\n", "Liouv = system.liouvillian()\n", "rho_thermal = steadystate(Liouv)\n", "#rhoss\n", "N2 = 7\n", "#GHZ state\n", "ghz_state = ghz(N2)\n", "#CSS states\n", "a = 1/np.sqrt(2)\n", "b = 1/np.sqrt(2)\n", "css_symmetric = css(N2, a, b)\n", "css_antisymmetric = css(N2, a, -b)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "label_size = 15\n", "c_map = 'bwr'\n", "\n", "# Convert to real-valued dense matrices\n", "rho1 = np.real(css_antisymmetric.full())\n", "rho3b = np.real(ghz_state.full()) \n", "rho4b = np.real(css_symmetric.full())\n", "rho5 = np.real(excited_state.full())\n", "rho6 = np.real(superradiant_state.full())\n", "rho7 = np.real(ground_state.full())\n", "rho8 = np.real(subradiant_state.full())\n", "rho9 = dicke_blocks\n", "rho10 = np.real(rho_thermal.full())" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Dicke basis\n", "plt.rc('text', usetex = True)\n", "#mpl.rc('pdf', fonttype=42)\n", "mpl.rcParams['pdf.fonttype'] = 42\n", "from matplotlib import rc\n", "#plt.rcParams['ps.useafm'] = True\n", "factor = 0.5 \n", "label_size = 20*factor\n", "plt.rc('xtick', labelsize=label_size) \n", "plt.rc('ytick', labelsize=label_size)\n", "\n", "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(22*factor, 11*factor))\n", "fig1 = axes[0,0].imshow(rho9, cmap = c_map)\n", "axes[0,0].set_title(r\"$\\rho=\\sum_{j,m,m'}|j,m\\rangle\\langle j,m'|$\",\n", " fontsize = label_size)\n", "plt.setp(axes, xticks=[],\n", " yticks=[])\n", "#Excited\n", "fig2 = axes[0,1].imshow(rho9+rho5, cmap = c_map)\n", "string = \"Fully excited state, $|\\\\frac{N}{2},\\\\frac{N}{2}\\\\rangle\\\\langle \\\\frac{N}{2},\\\\frac{N}{2}|$\"\n", "axes[0,1].set_title(\"{}\".format(string), \n", " fontsize = label_size)\n", "#Ground\n", "fig3 = axes[0,2].imshow(rho9+rho7, cmap = c_map) \n", "axes[0,2].set_title(r\"Ground state, $|\\frac{N}{2},-\\frac{N}{2}\\rangle\\langle \\frac{N}{2},-\\frac{N}{2}|$\", \n", " fontsize = label_size)\n", "# Steady-state (saturated palette)\n", "saturation = 3.3\n", "axes[1,0].imshow(saturation*rho10+rho9, cmap = c_map)\n", "axes[1,0].set_title(r\"Steady state, $H=J_z$, $\\gamma_\\downarrow=0.3\\gamma_\\uparrow$\", fontsize = label_size)\n", "#Superradiant\n", "fig5 = axes[1,1].imshow(rho9+rho6, cmap = c_map) \n", "axes[1,1].set_title(r\"Superradiant state, $|\\frac{N}{2},0\\rangle\\langle \\frac{N}{2},0|$\", fontsize = label_size)\n", "#Subradiant\n", "fig6 = axes[1,2].imshow(rho9+rho8, cmap = c_map) \n", "axes[1,2].set_title(r\"Subradiant state, $|0,0\\rangle\\langle 0,0|$\", fontsize = label_size)\n", "fname = 'figures/states_N.eps'\n", "plt.show()\n", "plt.close()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The block-diagonal structure of the density matrices in the Dicke basis is highligted above. We use blue to mark sectors that can not be populated and a gradient from red (1) to white (0) to indicate the population of allowed density matrix terms. As visible above, the states with maximum total spin quantum number, $|N/2,m>$, populate a matrix element of the first block on the top left, corresponding to $j=N/2$. \n", "\n", "The Dicke state corresponding to the subradiant state, $|0,0\\rangle$ instead populated only the smallest block in the bottom right, $j=0$. \n", "\n", "The steady state of the system in which there is a competition of local emission and local pumping and an Hamiltonian proportional to $J_z$ is formed of a classical mixture of Dicke states and populates only diagonal matrix elements but also those involving non-maximal $j$. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plots for density matrices that are not diagonal in the Dicke basis\n", "\n", "fig, axes = plt.subplots(nrows=1, ncols=3, figsize=(20, 5))\n", "\n", "# Antisymmetric Coherent Spin State\n", "fig1 = axes[0].imshow(rho1, cmap = c_map)\n", "axes[0].set_title(r'$\\rho=|\\frac{1}{\\sqrt{2}},-\\frac{1}{\\sqrt{2}}\\rangle\\langle\\frac{1}{\\sqrt{2}},-\\frac{1}{\\sqrt{2}}|_\\mathrm{CSS}$', fontsize = label_size)\n", "cb = plt.colorbar(fig1,ax=axes[0])\n", "\n", "fig1.set_clim([np.min(rho1),np.max(rho1)])\n", "cb.set_ticks( [np.min(rho1),0, np.max(rho1)])\n", "cb.set_ticklabels([r'min',r'$0$',r'max'])\n", "plt.setp(axes, xticks=[],yticks=[])\n", "\n", "# Symmetric Coherent Spin State\n", "fig2 = axes[1].imshow(rho4b, cmap = c_map)\n", "cb2 = plt.colorbar(fig2,ax=axes[1])\n", "fig2.set_clim([0,np.max(rho4b)])\n", "cb2.set_ticks( [0, np.max(rho4b)])\n", "cb2.set_ticklabels([r'$0$',r'max']) \n", "axes[1].set_title(r'$\\rho=|\\frac{1}{\\sqrt{2}},\\frac{1}{\\sqrt{2}}\\rangle\\langle\\frac{1}{\\sqrt{2}},\\frac{1}{\\sqrt{2}}|_\\mathrm{CSS}$', fontsize = label_size)\n", "\n", "# GHZ state\n", "fig3 = axes[2].imshow(rho3b, cmap = c_map)\n", "axes[2].set_title(r'$\\rho=|\\mathrm{GHZ}\\rangle\\langle\\mathrm{GHZ}|$', fontsize = label_size)\n", "cb3 = plt.colorbar(fig3,ax=axes[2])\n", "fig3.set_clim([0,np.max(rho3b)])\n", "cb3.set_ticks( [np.min(rho3b), np.max(rho3b)])\n", "cb3.set_ticklabels([r'$0$',r'max']) \n", "plt.show()\n", "plt.close()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The density plots above show that the density matrices relative to the symmetric coherent spin state (CSS), the antisymmetric CSS and the GHZ state are not diagonal in the Dicke basis. All three states occupy only the first sector of the block diagonal matrix, corresponding to $j=N/2$. The same is valid for any CSS, $|\\theta,\\phi\\rangle_\\mathrm{CSS}$.\n", "\n", "### Uncoupled basis\n", "It is possible to define the symmetric Dicke states ($j=N/2$), the CSS states and the GHZ state in the uncoupled basis, in order to compare problems in different bases. This formalism grows as $2^N$ for the Hilbert space (Hamiltonian, density matrices) and as $4^N$ for the Liouvillian space (Lindbladian terms). \n", "The quantum objects in the uncoupled basis preserve the correct dimensions (dims) and shape given by the tensor Hilbert space. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "#CSS states\n", "a = 1/np.sqrt(2)\n", "b = 1/np.sqrt(2)\n", "css_sym_uncoupled = css(N2, a, b, basis=\"uncoupled\")\n", "css_antisym_uncoupled = css(N2, a, -b, basis=\"uncoupled\")" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "excited_uncoupled = excited(N, basis=\"uncoupled\")\n", "ground_uncoupled = ground(N, basis=\"uncoupled\")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]], shape = (64, 64), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\vdots & \\vdots & \\vdots & \\vdots & \\vdots & \\ddots & \\vdots & \\vdots & \\vdots & \\vdots & \\vdots\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & \\cdots & 0.0 & 0.0 & 0.0 & 0.0 & 1.0\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2]], shape = (64, 64), type = oper, isherm = True\n", "Qobj data =\n", "[[0. 0. 0. ... 0. 0. 0.]\n", " [0. 0. 0. ... 0. 0. 0.]\n", " [0. 0. 0. ... 0. 0. 0.]\n", " ...\n", " [0. 0. 0. ... 0. 0. 0.]\n", " [0. 0. 0. ... 0. 0. 0.]\n", " [0. 0. 0. ... 0. 0. 1.]]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ground_uncoupled" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "superradiant_uncoupled = superradiant(N, basis=\"uncoupled\")\n", "ghz_state_uncoupled = ghz(N, basis=\"uncoupled\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing Time Evolution" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "N = 8\n", "Hilbert space dim = (25, 25)\n", "Number of Dicke states = 25\n", "Liouvillian space dim = (625, 625)\n", "collective_emission = 0.1\n" ] }, { "data": { "text/html": [ "\n", "\n", "\n", "\n", "
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This solver, which handles only $O(N^2)$ terms instead of $O(N^3)$ for the general case, has a better performance. See Ref. [1] for more details. \n", "\n", "Behind the scenes, $\\texttt{pisolve}$ creates a Pim object (Permutational invariant matrix) and passes the diagonal part of the density matrix as a vector, $p $, to solve a dynamics of the type\n", "\n", "\\begin{eqnarray}\n", "\\dot{p}&=&Mp,\n", "\\end{eqnarray}\n", "where the coefficient matrix $M$ is now only of side $O(N^2)$. The result is then given back in terms of a total density matrix as a quantum object $\\texttt{Qobj}$.\n", "\n", "Below an example is given of the use of this solver, $\\texttt{pisolve}$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "N = 10\n", "ensemble = Dicke(N)\n", "ensemble.emission = 0.2\n", "jz = jspin(N,\"z\")\n", "jp = jspin(N,\"+\")\n", "jm = jp.dag()\n", "w0 = 1\n", "ensemble.hamiltonian = w0*jz+jp*jm\n", "rho_tls = dicke(N, N/2, 0)\n", "t = np.linspace(0, 20, 40)\n", "result = ensemble.pisolve(rho_tls, t)\n", "rhot = result.states\n", "jzt = expect(rhot, jz)\n", "jpjmt = expect(rhot, jp*jm)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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The $\\texttt{mesolve}$ solver is used in both cases. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "unconfined": true, "width": 600 } }, "output_type": "display_data" } ], "source": [ "display(Image('images/piqs_performance_small_N.png', width=600, unconfined=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we benchmark the solution of a dynamics with all dissipative terms for a permutational invariant problem in which the Liouvillian is built and then used to solve the dynamics (Computer Memory: 16 GB RAM at 2133 MHz; CPU: 2.3 GHz Intel Core i5). The $\\texttt{mesolve}$ solver is compared to $\\texttt{pisolve}$, which performs better but which can be used only in a subset of cases. " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": { "image/png": { "unconfined": true, "width": 600 } }, "output_type": "display_data" } ], "source": [ "display(Image('images/piqs_performance_large_N.png', width=600, unconfined=True))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] N. Shammah, S. Ahmed, N. Lambert, S. De Liberato, and F. Nori, Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance, https://arxiv.org/abs/1805.05129 and https://github.com/nathanshammah/piqs/. Please cite this paper if you use PIQS or qutip.piqs. \n", "\n", "[2] J. R. Johansson, P. D. Nation, and F. Nori, *Comp. Phys. Comm.* **183**, 1760 (2012). http://qutip.org\n", "\n", "[3] B.A. Chase and J.M. Geremia, *Phys Rev. A* **78**, 052101 (2008); B. Q. Baragiola, B. A. Chase, and J. Geremia, Phys. Rev. A 81, 032104 (2010)\n", "\n", "[4] M. Xu, D.A. Tieri, and M.J. Holland, *Phys Rev. A* **87**, 062101 (2013)\n", "\n", "[5] S. Hartmann, *Quantum Inf. Comput.* **16**, 1333 (2016)\n", "\n", "[6] F. Damanet, D. Braun, and J. Martin, *Phys. Rev. A* **94**, 033838 (2016)\n", "\n", "[7] P. Kirton and J. Keeling, , *Phys. Rev. Lett.* **118**, 123602 (2017) https://github.com/peterkirton/permutations \n", "\n", "[8] N. Shammah, N. Lambert, F. Nori, and S. De Liberato, *Phys Rev. A* **96**, 023863 (2017)\n", "\n", "[9] M. Gegg and M. Richter, *Sci. Rep.* **7**, 16304 (2017) https://github.com/modmido/psiquasp" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "QuTiP: Quantum Toolbox in Python\n", "Copyright (c) 2011 and later.\n", "A. J. Pitchford, P. D. Nation, R. J. Johansson, A. Grimsmo, and C. Granade\n", "\n", "QuTiP Version: 4.3.1\n", "Numpy Version: 1.14.2\n", "Scipy Version: 1.1.0\n", "Cython Version: 0.28.5\n", "Matplotlib Version: 2.2.3\n", "Python Version: 3.6.7\n", "Number of CPUs: 2\n", "BLAS Info: INTEL MKL\n", "OPENMP Installed: False\n", "INTEL MKL Ext: True\n", "Platform Info: Darwin (x86_64)\n", "Installation path: /Users/nathanshammah/miniconda3/lib/python3.6/site-packages/qutip\n", "==============================================================================\n", "Please cite QuTiP in your publication.\n", "==============================================================================\n", "For your convenience a bibtex file can be easily generated using `qutip.cite()`\n" ] } ], "source": [ "qutip.about()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "@article{qutip2,\n", "doi = {10.1016/j.cpc.2012.11.019},\n", "url = {https://doi.org/10.1016/j.cpc.2012.11.019},\n", "year = {2013},\n", "month = {apr},\n", "publisher = {Elsevier {BV}},\n", "volume = {184},\n", "number = {4},\n", "pages = {1234--1240},\n", "author = {J.R. Johansson and P.D. Nation and Franco Nori},\n", "title = {{QuTiP} 2: A Python framework for the dynamics of open quantum systems},\n", "journal = {Computer Physics Communications}\n", "}\n", "@article{qutip1,\n", "doi = {10.1016/j.cpc.2012.02.021},\n", "url = {https://doi.org/10.1016/j.cpc.2012.02.021},\n", "year = {2012},\n", "month = {aug},\n", "publisher = {Elsevier {BV}},\n", "volume = {183},\n", "number = {8},\n", "pages = {1760--1772},\n", "author = {J.R. Johansson and P.D. Nation and Franco Nori},\n", "title = {{QuTiP}: An open-source Python framework for the dynamics of open quantum systems},\n", "journal = {Computer Physics Communications}\n", "}\n" ] } ], "source": [ "qutip.cite()" ] } ], "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": "3.5.4" } }, "nbformat": 4, "nbformat_minor": 2 }