{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Excitation-number-restricted states: Jaynes-Cummings chain\n", "\n", "### Authors: Robert Johansson (jrjohansson@gmail.com) and Neill Lambert (nwlambert@gmail.com)\n", " \n", "### Introduction\n", "\n", "The ENR functions construct a basis set for multipartite systems which contains only states that have an overall number of excitations. This is particularly useful for systems where the model conserves excitation number, as in the JC-chain example below. However it can also help reduce memory cost even if this is not the case; however then one must be careful in choosing a large enough number of excitations to obtain convergence.\n", "For example, consider a system consisting of 4 modes, each\n", "with 5 states. The total hilbert space size is $5^4 = 625$. If we are\n", "only interested in states that contain up to 2 excitations, we only need\n", "to include states such as\n", "\n", "\n", " (0, 0, 0, 0)\n", " (0, 0, 0, 1)\n", " (0, 0, 0, 2)\n", " (0, 0, 1, 0)\n", " (0, 0, 1, 1)\n", " (0, 0, 2, 0)\n", " ...\n", "\n", "The enr fucntions create operators and states for the 4 modes that act\n", "within this state space. For example,\n", "\n", "a1, a2, a3, a4 = enr_destroy([5, 5, 5, 5], excitations=2)\n", "\n", "creates destruction operators for each mode.\n", "\n", "From this point onwards, the annihiltion operators a1, ..., a4 can be\n", "used to setup a Hamiltonian, collapse operators and expectation-value\n", "operators, etc., following the usual pattern.\n", "\n", "\n", "However, many functions in QuTiP will fail on states/operators constructed with this method. So far functions which exist are:\n", "\n", "enr_fock: create a fock state in the restricted basis\n", "\n", "enr_identity: create an identity operator\n", "\n", "enr_thermal_dm: create a thermal state\n", "\n", "enr_destroy: create an annilation operator\n", "\n", "enr_ptrace: perform a partial trace\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qutip import *\n", "from qutip.ipynbtools import HTMLProgressBar" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def solve(d, psi0):\n", " \n", " # list of annihilation operators for cavity modes\n", " a = d[::2]\n", "\n", " # list of atomic annihilation operators\n", " sm = d[1::2]\n", "\n", " H0 = sum([aa.dag() * aa for aa in a]) + sum([s.dag() * s for s in sm])\n", "\n", " # atom-cavity couplings\n", " Hint_ac = 0\n", " for n in range(N):\n", " Hint_ac += 0.5 * (a[n].dag() * sm[n] + sm[n].dag() * a[n])\n", "\n", " # coupling beetween cavities\n", " Hint_cc = 0\n", " for n in range(N-1):\n", " Hint_cc += 0.9 * (a[n].dag() * a[n+1] + a[n+1].dag() * a[n])\n", "\n", " H = H0 + Hint_ac + Hint_cc\n", "\n", " e_ops = [x.dag() * x for x in d]\n", " c_ops = [0.01 * x for x in a]\n", " c_ops = [0.05 * x for x in sm]\n", "\n", " times = np.linspace(0, 250, 1000)\n", "\n", " L = liouvillian_ref(H, c_ops)\n", " \n", " result = mesolve(H, psi0, times, c_ops, e_ops, options=Options(nsteps=5000,store_states=True))\n", "\n", " return result, H, L" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "N = 4 # number of systems\n", "M = 2 # number of cavity states\n", "\n", "#The dimensions of the JC spin chain\n", "dims = [M, 2] * N\n", "#The number of excitations in the chain\n", "excitations = 1 # total number of excitations\n", "initial_excitiations = 1 # initial number of excitations" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "\n", "psi0 = tensor([basis(d, initial_excitiations) if idx == 1 else basis(d, 0) for idx, d in enumerate(dims)])\n", "\n", "\n", "\n", "d = [tensor([destroy(d1) if idx1 == idx2 else identity(d1)\n", " for idx1, d1 in enumerate(dims)])\n", " for idx2, d2 in enumerate(dims)]\n", "\n" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wall time: 34.1 s\n" ] } ], "source": [ "\n", "#This is the normal QuTip solution, without using ENR states\n", "%time result1, H1, L1 = solve(d, psi0)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "\n", "#Construct ENR operators and states\n", "d = enr_destroy(dims, excitations)\n", "psi0 = enr_fock(dims, excitations, [initial_excitiations if m == 1 else 0 for m in range(2*N)])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0, 1, 0, 0, 0, 0, 0, 0]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "[initial_excitiations if m == 1 else 0 for m in range(2*N)]" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Wall time: 432 ms\n" ] } ], "source": [ "#This is the solution using the ENR states/operators.\n", "\n", "%time result2, H2, L2 = solve(d, psi0)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsgAAAI4CAYAAAB3OR9vAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nfwBs19aZgNTTswAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plot_expectation_values([result1, result2], figsize=(10, 8))\n", "for ax in axes[:, 0]:\n", " ax.set_ylim(-0.1, 1.1)\n", "fig.tight_layout();" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": true }, "outputs": [], "source": [ "\n", "def ENR_ptrace(rho, sel, excitations):\n", " \"\"\"\n", " Partial trace for ENR states. \n", " Parameters\n", " ----------\n", " rho : Qobj\n", " Qobj of an ENR system defined through enr_fock enr_identity enr_thermal_dm enr_destroy or output from a solver\n", " \n", " sel : int/list\n", " An ``int`` or ``list`` of components to keep after partial trace. \n", " \n", " excitations : integer\n", " The maximum number of excitations that are to be included in the\n", " state space. Should be consistent with the same assumptions used to construct rho.\n", " \n", " Returns\n", " -------\n", " oper : qobj\n", " Quantum object representing partial trace with selected components\n", " remaining.\n", " \n", " Notes\n", " -----\n", " The default Qobj.ptrace() will fail with ENR systems. This should be used instead.\n", " \n", " \"\"\"\n", " if isinstance(sel, int):\n", " sel = np.array([sel])\n", " else:\n", " sel = np.asarray(sel)\n", "\n", " if (sel < 0).any() or (sel >= len(rho.dims[0])).any():\n", " raise TypeError(\"Invalid selection index in ptrace.\")\n", " \n", " drho=rho.dims[0]\n", " \n", " ############\n", " #dimensions\n", " ####################\n", " #enr definitions for the original state\n", " nstates, state2idx, idx2state = enr_state_dictionaries(drho, excitations)\n", " \n", "\n", " \n", " ################\n", " #definition of number of states in selection\n", " ######################\n", " #\n", " \n", " dims_short= np.asarray(drho).take(sel)\n", " nstates2, state2idx2, idx2state2 = enr_state_dictionaries(dims_short.tolist(), excitations)\n", "\n", " \n", " # this is a list of the dimensions of the system one has traced out\n", " rest = np.setdiff1d(np.arange(len(drho)), sel)\n", " \n", " \n", " #construct matrix to return the new Density matrix\n", " rhout = np.zeros((nstates2,nstates2),dtype=np.complex64)\n", " \n", " for ind,state in idx2state.items():\n", " for ind2,state2 in idx2state.items():\n", " #if the parts of the states of the systems(s) being traced out are diagonal, add this to the new DM\n", " if np.all(np.asarray(state).take(rest) == np.asarray(state2).take(rest)):\n", "\n", " rhout[state2idx2[tuple(np.asarray(state).take(sel))],\n", " state2idx2[tuple(np.asarray(state2).take(sel))]] += rho.data[state2idx[state],\n", " state2idx[state2]]\n", " \n", " \n", " dims_kept0 = np.asarray(drho).take(sel)\n", " rho1_dims = [dims_kept0.tolist(), dims_kept0.tolist()]\n", " rho1_shape = [nstates2, nstates2]\n", " \n", " return Qobj(rhout,rho1_dims,rho1_shape)\n", " " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.799 & 0.0\\\\0.0 & 0.201\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\n", "Qobj data =\n", "[[ 0.79900632 0. ]\n", " [ 0. 0.20099368]]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result1.states[10].ptrace([0]) " ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.799 & 0.0\\\\0.0 & 0.201\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\n", "Qobj data =\n", "[[ 0.79899788 0. ]\n", " [ 0. 0.20100211]]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ENR_ptrace(result2.states[10], [0], excitations)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2, 2, 2], [2, 2, 2]], shape = (8, 8), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.412 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.121 & 0.179j & 0.0 & -0.156 & 0.0 & 0.0 & 0.0\\\\0.0 & -0.179j & 0.267 & 0.0 & 0.232j & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & -0.156 & -0.232j & 0.0 & 0.201 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0 & 0.0\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2, 2, 2], [2, 2, 2]], shape = (8, 8), type = oper, isherm = True\n", "Qobj data =\n", "[[ 0.41175019+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.12056176+0.j 0.00000000+0.17930244j\n", " 0.00000000+0.j -0.15566411+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000-0.17930244j 0.26669437+0.j\n", " 0.00000000+0.j 0.00000000+0.23152687j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j -0.15566411+0.j 0.00000000-0.23152687j\n", " 0.00000000+0.j 0.20099368+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j 0.00000000+0.j ]]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result1.states[10].ptrace([0,1,4])\n" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/latex": [ "Quantum object: dims = [[2, 2, 2], [2, 2, 2]], shape = (4, 4), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}0.412 & 0.0 & 0.0 & 0.0\\\\0.0 & 0.121 & 0.179j & -0.156\\\\0.0 & -0.179j & 0.267 & 0.232j\\\\0.0 & -0.156 & -0.232j & 0.201\\\\\\end{array}\\right)\\end{equation*}" ], "text/plain": [ "Quantum object: dims = [[2, 2, 2], [2, 2, 2]], shape = (4, 4), type = oper, isherm = True\n", "Qobj data =\n", "[[ 0.41175619+0.j 0.00000000+0.j 0.00000000+0.j\n", " 0.00000000+0.j ]\n", " [ 0.00000000+0.j 0.12054870+0.j 0.00000000+0.1793023j\n", " -0.15566093+0.j ]\n", " [ 0.00000000+0.j 0.00000000-0.1793023j 0.26669303+0.j\n", " 0.00000000+0.23152943j]\n", " [ 0.00000000+0.j -0.15566093+0.j 0.00000000-0.23152943j\n", " 0.20100211+0.j ]]" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "ENR_ptrace(result2.states[10],[0,1,4],excitations)" ] } ], "metadata": { "anaconda-cloud": {}, "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 }