{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Example 2: Dynamics in Fenna-Mathews-Olsen complex (FMO)\n", "\n", "### Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this example notebook we outline how to employ the HEOM to \n", "solve the FMO photosynthetic complex dynamics. \n", "\n", "\n", "We aim to replicate the results in reference https://www.pnas.org/content/106/41/17255\n", "and compare them to a Bloch-Redfield (perturbative) solution.\n", "\n", "This demonstrates how to to employ the solver for multiple baths, as well as showing how a\n", "quantum environment reduces the effect of pure dephasing." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import contextlib\n", "import time\n", "\n", "import numpy as np\n", "\n", "from qutip import *\n", "from qutip.nonmarkov.heom import HEOMSolver, HSolverDL, BosonicBath, DrudeLorentzBath, DrudeLorentzPadeBath\n", "from qutip.ipynbtools import HTMLProgressBar" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "def cot(x):\n", " return 1./np.tan(x)\n", "\n", "\n", "def J0(energy):\n", " #underdamped brownian oscillator\n", "\n", " return 2 * lam * gamma * (energy)/( ((energy**2) + (gamma**2)))\n", "\n", "def dl_corr_approx(t, nk):\n", " \"\"\" Drude-Lorenz correlation function approximation.\n", " \n", " Approximates the correlation function at each time t to nk exponents.\n", " \"\"\"\n", " c = lam * gamma * (-1.0j + cot(gamma / (2 * T))) * np.exp(-gamma * t)\n", " for k in range(1, nk):\n", " vk = 2 * np.pi * k * T\n", " c += (4 * lam * gamma * T * vk / (vk**2 - gamma**2)) * np.exp(-vk * t)\n", " return c" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#A quick plot of the spectral density and environment correlation functions\n", "\n", "\n", "wlist = linspace(0, 200*3e10*2*pi,100)\n", "lam = 35 * 3e10 * 2 * pi\n", "gamma = (1/(166e-15))\n", "T = 300 * 0.6949 * 3e10 * 2 * pi\n", "\n", "beta = 1/T\n", "\n", "\n", "tlist = linspace(0,1.e-12,1000)\n", "\n", "\n", "J = [J0(w)/(3e10*2*pi) for w in wlist]\n", "\n", "\n", "fig, axes = plt.subplots(1, 2, sharex=False, figsize=(10,3))\n", "\n", "fig.subplots_adjust(hspace=0.1) # reduce space between plots\n", "\n", "axes[0].plot(wlist/(3e10*2*pi), J, color='r',ls='--')\n", "axes[0].set_xlabel(r'$\\omega$ (cm$^{-1}$)', fontsize=20)\n", "axes[0].set_ylabel(r\"$J(\\omega)$ (cm$^{-1}$)\", fontsize=16);\n", "axes[1].plot(tlist, [np.real(dl_corr_approx(t,10))for t in tlist], color='r',ls='--',label=\"c(t) real\")\n", "axes[1].plot(tlist, [np.imag(dl_corr_approx(t,10)) for t in tlist], color='g',ls='--',label=\"c(t) imaginary\")\n", "axes[1].set_xlabel(r'$t$', fontsize=20)\n", "axes[1].set_ylabel(r\"$C(t)$\", fontsize=16);\n", "\n", "axes[1].legend(loc=0)\n", "\n", "#fig.savefig(\"figures/drude.pdf\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "#We use the Hamiltonian employed in https://www.pnas.org/content/106/41/17255 and operate in units of Hz\n", "Hsys = 3e10 * 2 * pi *Qobj([[200, -87.7, 5.5, -5.9, 6.7, -13.7, -9.9],\n", " [-87.7, 320, 30.8, 8.2, 0.7, 11.8, 4.3],\n", " [5.5, 30.8, 0, -53.5, -2.2, -9.6, 6.0],\n", " [-5.9, 8.2, -53.5, 110, -70.7, -17.0, -63.3],\n", " [6.7, 0.7, -2.2, -70.7, 270, 81.1, -1.3],\n", " [-13.7,11.8, -9.6, -17.0 ,81.1, 420, 39.7],\n", " [-9.9, 4.3, 6.0, -63.3, -1.3, 39.7, 230]])\n", "\n", "\n", "#start the excitation at site :1:\n", "rho0 = basis(7,0)*basis(7,0).dag() \n", "\n", "optionsODE = Options(nsteps=15000, store_states=True)\n", "#\n", "Nc = 8\n", "\n", "Nk = 0\n", "\n", "Q_list = []\n", "baths= []\n", "Ltot = liouvillian(Hsys)\n", "for m in range(7):\n", " Q=basis(7,m)*basis(7,m).dag()\n", " Q_list.append(Q)\n", " baths.append(DrudeLorentzBath(\n", " Q,lam=lam, gamma=gamma, T=T, Nk=Nk,\n", " tag=str(m)))\n", " _, terminator = baths[-1].terminator() #Here we set Nk=0 and\n", " #rely on the terminator \n", " # to correct detailed balance\n", " Ltot += terminator" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "HEOMMats = HEOMSolver(Hsys, baths, Nc, options=optionsODE)\n", "outputFMOHEOM=HEOMMats.run(rho0,tlist)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "matplotlib.rcParams['figure.figsize'] = (7, 5)\n", "matplotlib.rcParams['axes.titlesize'] = 25\n", "matplotlib.rcParams['axes.labelsize'] = 30\n", "matplotlib.rcParams['xtick.labelsize'] = 28\n", "matplotlib.rcParams['ytick.labelsize'] = 28\n", "matplotlib.rcParams['legend.fontsize'] = 28\n", "matplotlib.rcParams['axes.grid'] = False\n", "matplotlib.rcParams['savefig.bbox'] = 'tight'\n", "matplotlib.rcParams['lines.markersize'] = 5\n", "matplotlib.rcParams['font.family'] = 'STIXgeneral' \n", "matplotlib.rcParams['mathtext.fontset'] = 'stix'\n", "matplotlib.rcParams[\"font.serif\"] = \"STIX\"\n", "matplotlib.rcParams['text.usetex'] = False" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "from cycler import cycler" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1,1, figsize=(12,8))\n", "\n", "default_cycler = (cycler(color=['r', 'g', 'b', 'y','c','m','k']) +\n", " cycler(linestyle=['-', '--', ':', '-.',(0, (1, 10)), (0, (5, 10)),(0, (3, 10, 1, 10))]))\n", "plt.rc('axes',prop_cycle=default_cycler )\n", "\n", "for m in range(7):\n", " Q = basis(7,m)*basis(7,m).dag()\n", " axes.plot(array(tlist)*1e15, expect(outputFMOHEOM.states,Q),label=m+1) \n", "axes.set_xlabel(r'$t$ (fs)', fontsize=30)\n", "axes.set_ylabel(r\"Population\", fontsize=30);\n", "axes.locator_params(axis='y', nbins=6)\n", "axes.locator_params(axis='x', nbins=6)\n", "\n", "axes.set_title('HEOM solution ',fontsize=24)\n", "axes.legend(loc=0)\n", "axes.set_xlim(0,1000)\n", "plt.yticks([0.,0.5,1],[0,0.5,1])\n", "plt.xticks([0.,500,1000],[0,500,1000])\n", "#fig.savefig(\"figures/fmoheom.pdf\")" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "([,\n", " ,\n", " ],\n", " [Text(0.0, 0, '0'), Text(500.0, 0, '500'), Text(1000.0, 0, '1000')])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "DL = \" 2*pi* 2.0 * {lam} / (pi * {gamma} * {beta}) if (w==0) else 2*pi*(2.0*{lam}*{gamma} *w /(pi*(w**2+{gamma}**2))) * ((1/(exp((w) * {beta})-1))+1)\".format(gamma=gamma, beta = beta, lam = lam)\n", "\n", "\n", "Nmax = 7\n", "Q_list = [basis(Nmax, n)*basis(Nmax, n).dag() for n in range(Nmax)]\n", "\n", "optionsODE = Options(nsteps=15000, store_states=True,rtol=1e-12,atol=1e-12)\n", "outputBR = brmesolve(Hsys, rho0, tlist, a_ops=[[Q,DL] for Q in Q_list], options = optionsODE)\n", "\n", "\n", "fig, axes = plt.subplots(1,1, figsize=(12,8))\n", "for m,Q in enumerate(Q_list):\n", " axes.plot(array(tlist)*1e15, expect(outputBR.states,Q),label=m+1)\n", "\n", "axes.set_xlabel(r'$t$ (fs)', fontsize=30)\n", "axes.set_ylabel(r\"Population\", fontsize=30);\n", "\n", "axes.set_title('Bloch-Redfield solution ',fontsize=24)\n", "axes.legend(loc=0)\n", "axes.set_xlim(0,1000)\n", "plt.yticks([0.,0.5,1],[0,0.5,1])\n", "plt.xticks([0.,500,1000],[0,500,1000])\n", "#fig.savefig(\"figures/fmoBR.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " # Role of pure dephasing\n", " \n", " It is more useful to explicitly construct the various parts of the Bloch-Redfield master equation explicitly, and show that it is the pure-dephasing which suppresses coherence in these oscillations." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "def n_th(energy):\n", " \n", " beta=1./Temperature\n", " \n", " return 1./(np.exp(energy*beta) - 1.)\n", "\n", "def J0(energy):\n", " #underdamped brownian oscillator\n", " \n", " return 2 * lam * gamma * (energy)/( pi * ((energy**2) + (gamma**2)))\n", "\n", "def J02(energy):\n", " #underdamped brownian oscillator\n", "\n", " return 2 * lam * gamma /(np.pi * ((gamma**2)))\n", "\n", "\n", "def get_collapse(dephasing = 1):\n", " all_energy, all_state = Hsys.eigenstates()\n", "\n", " Nmax = 7\n", "\n", "\n", " Q_list = [basis(Nmax, n)*basis(Nmax, n).dag() for n in range(Nmax)]\n", "\n", "\n", "\n", " collapse_list = []\n", "\n", " for Q in Q_list:\n", " for j in range(Nmax):\n", "\n", " for k in range(j+1,Nmax):\n", " Deltajk = abs(all_energy[k] - all_energy[j])\n", " if abs(Deltajk) > 0 :\n", " rate = np.absolute(Q.matrix_element(all_state[j].dag(),all_state[k]))**2 * 2 * pi * J0(Deltajk) * (n_th(Deltajk)+1)\n", " if rate > 0.0:\n", " collapse_list.append((np.sqrt(rate)*all_state[j]*all_state[k].dag())) #emission\n", "\n", "\n", " rate = np.absolute(Q.matrix_element(all_state[k].dag(),all_state[j]))**2 * 2 * pi * J0(Deltajk) * (n_th(Deltajk))\n", " if rate > 0.0:\n", " collapse_list.append((np.sqrt(rate)*all_state[k]*all_state[j].dag())) #absorption\n", " \n", " if dephasing:\n", " for j in range(Nmax):\n", "\n", " rate = np.absolute(Q.matrix_element(all_state[j].dag(),all_state[j]))**2 * pi * J02(0.) * Temperature\n", " if rate > 0.0:\n", " collapse_list.append((np.sqrt(rate)*all_state[j]*all_state[j].dag())) #emission\n", " return collapse_list" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can switch on/off the pure dephasing terms:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#dephasing terms on, we recover the full BR solution\n", "\n", "collapse_list = get_collapse(dephasing=True)\n", "outputFMO = mesolve(Hsys, rho0, tlist, collapse_list)\n", "fig, axes = plt.subplots(1,1, figsize=(12,8))\n", "for m,Q in enumerate(Q_list):\n", " axes.plot(tlist*1e15, expect(outputFMO.states,Q),label=m+1)\n", " \n", "axes.set_xlabel(r'$t$', fontsize=20)\n", "axes.set_ylabel(r\"Population\", fontsize=16);\n", "\n", "axes.set_title('With pure dephasing',fontsize=24)\n", "axes.legend(loc=0, fontsize=18)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#dephasing terms off\n", "\n", "collapse_list = get_collapse(dephasing=False)\n", "outputFMO = mesolve(Hsys, rho0, tlist, collapse_list)\n", "fig, axes = plt.subplots(1,1, figsize=(12,8))\n", "for m,Q in enumerate(Q_list):\n", " axes.plot(tlist*1e15, expect(outputFMO.states,Q),label=m+1)\n", " \n", "axes.set_xlabel(r'$t$', fontsize=20)\n", "axes.set_ylabel(r\"Population\", fontsize=16);\n", "\n", "axes.set_title('Without pure dephasing',fontsize=24)\n", "axes.legend(loc=0, fontsize=18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Software versions" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
SoftwareVersion
QuTiP4.7.0.dev0+b71625e
Numpy1.21.2
SciPy1.7.1
matplotlib3.5.0
Cython0.29.25
Number of CPUs8
BLAS InfoINTEL MKL
IPython7.29.0
Python3.9.7 (default, Sep 16 2021, 13:09:58) \n", "[GCC 7.5.0]
OSposix [linux]
Wed Dec 22 14:41:16 2021 JST
" ], "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] } ], "metadata": { "anaconda-cloud": {}, "jupytext": { "formats": "ipynb,md:myst" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 1 }