Quito-OpenQuantumSystems.ipynb
{
"cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Definition of libraries and functions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Evolution in Hilbert space" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider a two-level system with energies $E_1$ and $E_2$, and coupling between them of $V$. We can calculate the dynamics using the evolution operator $U(t)=e^{-iHt/\\hbar}$. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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ELfsOc9PGDwFR6MQwn8xVVMsfuHXiqCdYAM5lzuoEJ5c4BhuAk3vk2sm1tSDZ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\n0d9eVU9Bt1gxZ9k7dB2Eo+8J3k7fKbj+H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"text/plain": [ "<matplotlib.figure.Figure at 0x7fa2f45a4650>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Definition of the Hamiltonian\n", "def Hamiltonian(E1,E2,V):\n", " return np.matrix([[E1,V],[V,E2]])\n", "\n", "# Plotting parameters\n", "N=500\n", "t = np.linspace(0,50,N)\n", "evol_H=np.zeros((2,2,N),'complex')\n", "vE1 = 0.0\n", "vE2= 1.0\n", "vV = 0.3\n", "\n", "# Calculation of the evolution operator U(t)\n", "for ii in range(N):\n", " evol_H[:,:,ii] = scipy.linalg.expm(-1j*Hamiltonian(vE1,vE2,vV)*t[ii]) # We set hbar=1 for convenience\n", "\n", "# Plotting results\n", "fig, [ax1,ax2] = plt.subplots(nrows=1,ncols=2,figsize=(10,5))\n", "ax1.plot(t,evol_H[0,1,:].real,label=r'Re($c_0$)')\n", "ax1.plot(t,evol_H[1,1,:].real,label=r'Re($c_1$)')\n", "ax1.legend()\n", "ax1.set_xlabel('time')\n", "ax1.set_ylabel('amplitudes')\n", "ax2.plot(t,np.abs(evol_H[0,1,:])**2,label=r'$|c_0|^2$')\n", "ax2.plot(t,np.abs(evol_H[1,1,:])**2,label=r'$|c_1|^2$')\n", "ax2.plot(t,np.abs(evol_H[0,1,:])**2+np.abs(evol_H[1,1,:])**2,label=r'total population')\n", "ax2.legend()\n", "ax2.set_xlabel('time')\n", "ax2.set_ylabel('populations')\n", "\n", "fig.savefig('Hamiltonian_evolution.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see the evolution of the wavefunction in the site basis |0> and |1>. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Evolution in Liouville space" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We calculate the evolution of the density matrix in Liouville space by using the time evolution propagator $U(t)=e^{Lt}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Define the Liouvillian superoperator\n", "def Liouvillian(E1,E2,V,gamma21,gamma12,gammaz):\n", " \n", " # Define the Hamiltonian part\n", " H = Hamiltonian(E1,E2,V) # calculate the Hamiltonian from input parameters\n", " LH = -1j*(np.kron(np.identity(2),H)-np.kron(np.conj(H),np.identity(2)) ) # Express the Hamiltonian in superoperator form\n", " \n", " # define the decay operators\n", " F21 = np.matrix([[0,1.],[0,0]]) # Define the first dissipation operator opening a channel from 2 to 1\n", " F12 = np.matrix([[0,0.],[1,0]]) # Define the second dissipation operator opening a channel from 1 to 2\n", " Fz = 1/np.sqrt(2)*np.matrix([[1.,0.],[0,-1.]]) # Define the operator for dephasing\n", " \n", " # Decay superoperator for F21\n", " FdF21 = np.dot(np.transpose(F21),F21)\n", " D21 = np.kron(F21,F21)-1./2.*( np.kron(FdF21,np.identity(2)) + np.kron(np.identity(2),FdF21) )\n", " # Decay superoperator for F12\n", " FdF12 = np.dot(np.transpose(F12),F12)\n", " D12 = np.kron(F12,F12)-1./2.*( np.kron(FdF12,np.identity(2)) + np.kron(np.identity(2),FdF12) )\n", " # Decay superoperator for Fz\n", " FdFz = np.dot(np.transpose(Fz),Fz)\n", " Dz = np.kron(Fz,Fz)-1./2.*( np.kron(FdFz,np.identity(2)) + np.kron(np.identity(2),FdFz) )\n", " \n", " L = LH+gamma21*D21+gamma12*D12+gammaz*Dz # sum the conserative and dissipative terms to get the Liouvillian\n", " return L" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evolution in Liouville space without any dissipation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/daniel/anaconda2/lib/python2.7/site-packages/numpy/core/numeric.py:538: ComplexWarning: Casting complex values to real discards the imaginary part\n", " return array(a, dtype, copy=False, order=order)\n" ] }, { "data": { "image/png": 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SSBhPhZ0ogbaeoPw+lKJM1cWvWYcDak8svnIyk1gNryhK7LNoFYWIphqPE2MA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\nWaZA+4d+7DV7aU3UcfcNhYv25JiOYkS/oWhx9uLY+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"text/plain": [ "<matplotlib.figure.Figure at 0x7fa328e1fb90>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the evolution superoperator\n", "evol_Liouville = np.zeros((4,4,N),'complex')\n", "vgamma21=0.0\n", "vgamma12=0.0\n", "vgammaz=0.0\n", "for ii in range(N):\n", " evol_Liouville[:,:,ii] = scipy.linalg.expm(Liouvillian(vE1,vE2,vV,vgamma21,vgamma12,vgammaz)*t[ii])\n", "\n", " \n", "fig, [ax1,ax2] = plt.subplots(nrows=1, ncols=2,figsize=(10,5))\n", "ax1.plot(t,evol_Liouville[0,3],label=r'$\\rho_{00}$')\n", "ax1.plot(t,evol_Liouville[3,3],label=r'$\\rho_{11}$')\n", "ax2.plot(t,evol_Liouville[1,3].real,label=r'$Re(\\rho_{10})$')\n", "ax2.plot(t,evol_Liouville[1,3].imag,label=r'$Im(\\rho_{10})$')\n", "\n", "ax1.scatter(t[::10],np.abs(evol_H[0,1,:][::10])**2,label=r'$|c_0|^2$')\n", "ax1.scatter(t[::10],np.abs(evol_H[1,1,:][::10])**2,label=r'$|c_1|^2$')\n", "\n", "# Calculate the coherences from the wavefunction\n", "\n", "coh_from_psi = evol_H[1,1,:]*np.conj(evol_H[0,1,:]) \n", "ax2.scatter(t[::10],coh_from_psi[::10].real,label=r'Re($c_1c_0^*$)' )\n", "ax2.scatter(t[::10],coh_from_psi[::10].imag,label=r'Im($c_1c_0^*$)')\n", "\n", "ax1.set_xlabel('time')\n", "ax2.set_xlabel('time')\n", "ax1.legend(loc='upper right')\n", "ax2.legend(loc='upper right')\n", "\n", "fig.savefig('equivalence_HL.pdf')\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The evolution described by the density matrix can be conservative and coincide with the wavefunction description. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evolution with pure dephasing" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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F9oPHKS8TG48Sdb06ClCntncxr5Ur3gHwN5J0vU5LkuQ2kiQHkSQ5iOu2MIsW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UeXLl04fvw4DRs2ND1g/nzYvZusrCycnZ2N+y9qNJLnl6Vm18iQt/R0SeWMi2PUqFEV28ao1bKq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"text/plain": [ "<matplotlib.figure.Figure at 0x7fa2ec385c10>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the evolution superoperator\n", "\n", "\n", "evol_Liouville = np.zeros((4,4,N),'complex')\n", "vgamma21=0.0 # decay from exited to ground\n", "vgamma12=0.0 # incoherent pumping from ground to excited\n", "vgammaz=0.3 # dephasing\n", "\n", "for ii in range(N): # calculate the evolution operator by taking e^{Lt}\n", " evol_Liouville[:,:,ii] = scipy.linalg.expm(Liouvillian(vE1,vE2,vV,vgamma21,vgamma12,vgammaz)*t[ii])\n", "\n", " \n", "fig, [ax1,ax2] = plt.subplots(nrows=1, ncols=2,figsize=(10,5))\n", "ax1.plot(t,evol_Liouville[0,3],label=r'$\\rho_{00}$',color='b')\n", "ax1.plot(t,evol_Liouville[3,3],label=r'$\\rho_{11}$',color='g')\n", "ax2.plot(t,evol_Liouville[1,3].real,label=r'$Re(\\rho_{10})$',color='k')\n", "ax2.plot(t,evol_Liouville[1,3].imag,label=r'$Im(\\rho_{10})$',color='r')\n", "\n", "ax1.plot(t,np.abs(evol_H[0,1,:])**2,'--',label=r'$|c_0|^2$',color='b')\n", "ax1.plot(t,np.abs(evol_H[1,1,:])**2,'--',label=r'$|c_1|^2$',color='g')\n", "\n", "\n", "# Calculate the coherences from the wavefunction\n", "\n", "coh_from_psi = evol_H[1,1,:]*np.conj(evol_H[0,1,:]) \n", "\n", "ax2.plot(t,coh_from_psi.real,'--',label=r'Re($c_1c_0^*$)' ,color='k' )\n", "ax2.plot(t,coh_from_psi.imag,'--',label=r'Im($c_1c_0^*$)',color='r')\n", "\n", "\n", "ax1.set_xlabel('time')\n", "ax2.set_xlabel('time')\n", "ax1.legend(loc='upper right')\n", "ax2.legend(loc='upper right')\n", "\n", "\n", "fig.savefig('pure_dephasing.pdf')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evolution with decay" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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raa5hY+ZGcirbXxfl6V1PE//P+A69yW3I3MBHmR853T9n8Byu73O9TzZyKnOc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"text/plain": [ "<matplotlib.figure.Figure at 0x7fa2f43f9710>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the evolution superoperator\n", "evol_Liouville = np.zeros((4,4,N),'complex')\n", "vgamma21=0.3\n", "vgamma12=0.0\n", "vgammaz=0.0\n", "for ii in range(N):\n", " evol_Liouville[:,:,ii] = scipy.linalg.expm(Liouvillian(vE1,vE2,vV,vgamma21,vgamma12,vgammaz)*t[ii])\n", "\n", " \n", "fig, [ax1,ax2] = plt.subplots(nrows=1, ncols=2,figsize=(10,5))\n", "ax1.plot(t,evol_Liouville[0,3],label=r'$\\rho_{00}$',color='b')\n", "ax1.plot(t,evol_Liouville[3,3],label=r'$\\rho_{11}$',color='g')\n", "ax2.plot(t,evol_Liouville[1,3].real,label=r'$Re(\\rho_{10})$',color='k')\n", "ax2.plot(t,evol_Liouville[1,3].imag,label=r'$Im(\\rho_{10})$',color='r')\n", "\n", "ax1.plot(t,np.abs(evol_H[0,1,:])**2,'--',label=r'$|c_0|^2$',color='b')\n", "ax1.plot(t,np.abs(evol_H[1,1,:])**2,'--',label=r'$|c_1|^2$',color='g')\n", "\n", "\n", "# Calculate the coherences from the wavefunction\n", "\n", "coh_from_psi = evol_H[1,1,:]*np.conj(evol_H[0,1,:]) \n", "\n", "ax2.plot(t,coh_from_psi.real,'--',label=r'Re($c_1c_0^*$)' ,color='k' )\n", "ax2.plot(t,coh_from_psi.imag,'--',label=r'Im($c_1c_0^*$)',color='r')\n", "\n", "\n", "ax1.set_xlabel('time')\n", "ax2.set_xlabel('time')\n", "ax1.legend(loc='upper right')\n", "ax2.legend(loc='upper right')\n", "#plt.savefig('TLS.pdf')\n", "\n", "fig.savefig('pure_decay.pdf')\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adding dissipation significantly changes the dynamics. The density matrix converges towards a steady-state independently of the initial conditions. Below we compare the dissipative evolution starting from two different initial conditions. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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Adu7cydixYxk8eDBDhgxh27Ztde9ZuHAhY8eOdTvP0a5kHjduXJPkiYZXjlWs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"text/plain": [ "<matplotlib.figure.Figure at 0x7fa2f44cb7d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the evolution superoperator\n", "evol_Liouville = np.zeros((4,4,N),'complex')\n", "vgamma21=0.3\n", "vgamma12=0.0\n", "vgammaz=0.0\n", "for ii in range(N):\n", " evol_Liouville[:,:,ii] = scipy.linalg.expm(Liouvillian(vE1,vE2,vV,vgamma21,vgamma12,vgammaz)*t[ii])\n", "\n", " \n", "fig, [ax1,ax2] = plt.subplots(nrows=1, ncols=2,figsize=(10,5))\n", "ax1.plot(t,evol_Liouville[0,3],label=r'$\\rho_{00}$',color='b')\n", "ax1.plot(t,evol_Liouville[3,3],label=r'$\\rho_{11}$',color='g')\n", "ax2.plot(t,evol_Liouville[1,3].real,label=r'$Re(\\rho_{10})$',color='k')\n", "ax2.plot(t,evol_Liouville[1,3].imag,label=r'$Im(\\rho_{10})$',color='r')\n", "\n", "ax1.plot(t,evol_Liouville[0,0],'--',label=r'$\\rho_{00}$',color='b')\n", "ax1.plot(t,evol_Liouville[3,0],'--',label=r'$\\rho_{11}$',color='g')\n", "ax2.plot(t,evol_Liouville[1,0].real,'--',label=r'$Re(\\rho_{10})$',color='k')\n", "ax2.plot(t,evol_Liouville[1,0].imag,'--',label=r'$Im(\\rho_{10})$',color='r')\n", "\n", "\n", "\n", "\n", "ax1.set_xlabel('time')\n", "ax2.set_xlabel('time')\n", "ax1.legend(loc='upper right')\n", "ax2.legend(loc='upper right')\n", "#plt.savefig('TLS.pdf')\n", "\n", "fig.savefig('pure_decay_2.pdf')\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Evolution at finite temperature" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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0GuzN3YsiVZHXMV794VVEvR0Fs4W7wtP27Mndg925u11un58+32XGjC5FqiLE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"text/plain": [ "<matplotlib.figure.Figure at 0x7fa2ec3708d0>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the evolution superoperator\n", "evol_Liouville = np.zeros((4,4,N),'complex')\n", "vgamma21=0.3\n", "vgamma12=0.2\n", "vgammaz=0.0\n", "\n", "for ii in range(N):\n", " evol_Liouville[:,:,ii] = scipy.linalg.expm(Liouvillian(vE1,vE2,vV,vgamma21,vgamma12,vgammaz)*t[ii])\n", "\n", " \n", "fig, [ax1,ax2] = plt.subplots(nrows=1, ncols=2,figsize=(10,5))\n", "ax1.plot(t,evol_Liouville[0,3],label=r'$\\rho_{00}$',color='b')\n", "ax1.plot(t,evol_Liouville[3,3],label=r'$\\rho_{11}$',color='g')\n", "ax2.plot(t,evol_Liouville[1,3].real,label=r'$Re(\\rho_{10})$',color='k')\n", "ax2.plot(t,evol_Liouville[1,3].imag,label=r'$Im(\\rho_{10})$',color='r')\n", "\n", "ax1.plot(t,np.abs(evol_H[0,1,:])**2,'--',label=r'$|c_0|^2$',color='b')\n", "ax1.plot(t,np.abs(evol_H[1,1,:])**2,'--',label=r'$|c_1|^2$',color='g')\n", "\n", "\n", "# Calculate the coherences from the wavefunction\n", "\n", "coh_from_psi = evol_H[1,1,:]*np.conj(evol_H[0,1,:]) \n", "\n", "ax2.plot(t,coh_from_psi.real,'--',label=r'Re($c_1c_0^*$)' ,color='k' )\n", "ax2.plot(t,coh_from_psi.imag,'--',label=r'Im($c_1c_0^*$)',color='r')\n", "\n", "\n", "ax1.set_xlabel('time')\n", "ax2.set_xlabel('time')\n", "ax1.legend(loc='upper right')\n", "ax2.legend(loc='upper right')\n", "\n", "\n", "fig.savefig('finite_temperature.pdf')\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "323px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2
}