From 53fb75b0acf890846d297e2e0d4472bc8e851b8d Mon Sep 17 00:00:00 2001 From: Camille Date: Thu, 3 Dec 2020 23:56:17 +0100 Subject: [PATCH] Corrected and added sections in Floquet Notebook. --- examples/floquet-dynamics.ipynb | 836 +++++++++++++++++++++++++------- 1 file changed, 663 insertions(+), 173 deletions(-) diff --git a/examples/floquet-dynamics.ipynb b/examples/floquet-dynamics.ipynb index 5deda87..726b16f 100644 --- a/examples/floquet-dynamics.ipynb +++ b/examples/floquet-dynamics.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# QuTiP example: Floquet formalism for dynamics and steadystates" + "# QuTiP example: Floquet formalism for dynamics and steadystates master" ] }, { @@ -64,7 +64,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Find the floquet modes and quasi energies for a driven system and plot the floquet states/quasienergies for one period of the driving.\n" + "Find the floquet modes at time 0 and quasi energies for a driven system and plot the floquet states/quasienergies for one period of the driving.\n" ] }, { @@ -91,34 +91,13 @@ "metadata": {}, "outputs": [], "source": [ - "def qubit_integrate(delta, eps0_vec, A, omega, gamma1, gamma2, psi0, T, option):\n", + "def qubit_integrate(delta, eps0_vec, A, omega, T, option=None):\n", "\n", " # Hamiltonian\n", " sx = sigmax()\n", " sz = sigmaz()\n", " sm = destroy(2)\n", "\n", - " # collapse operators\n", - " c_op_list = []\n", - "\n", - " n_th = 0.0 # zero temperature\n", - "\n", - " # relaxation\n", - " rate = gamma1 * (1 + n_th)\n", - " if rate > 0.0:\n", - " c_op_list.append(sqrt(rate) * sm)\n", - "\n", - " # excitation\n", - " rate = gamma1 * n_th\n", - " if rate > 0.0:\n", - " c_op_list.append(sqrt(rate) * sm.dag())\n", - "\n", - " # dephasing \n", - " rate = gamma2\n", - " if rate > 0.0:\n", - " c_op_list.append(sqrt(rate) * sz)\n", - "\n", - "\n", " quasi_energies = np.zeros((len(eps0_vec), 2))\n", " f_gnd_prob = np.zeros((len(eps0_vec), 2))\n", " wf_gnd_prob = np.zeros((len(eps0_vec), 2))\n", @@ -133,104 +112,121 @@ " Hargs = {'w': omega}\n", " \n", " # find the floquet modes\n", - " f_modes,f_energies = floquet_modes(H, T, Hargs)\n", + " f_modes,f_energies = floquet_modes(H, T, Hargs,options=option)\n", "\n", " quasi_energies[idx,:] = f_energies\n", "\n", " f_gnd_prob[idx, 0] = expect(sm.dag() * sm, f_modes[0])\n", " f_gnd_prob[idx, 1] = expect(sm.dag() * sm, f_modes[1])\n", - "\n", - " f_states = floquet_states_t(f_modes, f_energies, 0, H, T, Hargs)\n", - "\n", - " wf_gnd_prob[idx, 0] = expect(sm.dag() * sm, f_states[0])\n", - " wf_gnd_prob[idx, 1] = expect(sm.dag() * sm, f_states[1])\n", - " \n", + " \n", " return quasi_energies, f_gnd_prob, wf_gnd_prob" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ - "delta = 0.2 * 2 * np.pi # qubit sigma_x coefficient\n", - "eps0 = 0.5 * 2 * np.pi # qubit sigma_z coefficient\n", - "gamma1 = 0.0 # relaxation rate\n", - "gamma2 = 0.0 # dephasing rate\n", - "A = 2.0 * 2 * np.pi \n", + "delta = 0.2 * 2 * np.pi # qubit sigma_x coefficient\n", + "eps0 = np.linspace(-5.0, 5.0, 200) * 2 * np.pi# qubit sigma_z coefficient\n", + "A = 2.0 * 2 * np.pi # drive amplitude\n", "psi0 = basis(2,0) # initial state\n", "omega = 1.0 * 2 * np.pi # driving frequency\n", - "T = (2*np.pi)/omega # driving period\n", - "\n", - "param = np.linspace(-5.0, 5.0, 200) * 2 * np.pi \n", - "\n", - "eps0 = param" + "T = (2*np.pi)/omega # driving period" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dynamics: time elapsed = 4.828046083450317\n" + ] + } + ], "source": [ "start_time = time.time()\n", - "q_energies, f_gnd_prob, wf_gnd_prob = qubit_integrate(delta, eps0, A, omega, gamma1, gamma2, psi0, T, \"dynamics\")\n", + "q_energies, f_gnd_prob, wf_gnd_prob = qubit_integrate(delta, eps0, A, omega, T)\n", "print('dynamics: time elapsed = ' + str(time.time() - start_time))" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "fig, ax = plt.subplots()\n", - "ax.plot(param, np.real(q_energies[:,0]) / delta, 'b',\n", - " param, np.real(q_energies[:,1]) / delta, 'r')\n", - "ax.set_xlabel('A or e')\n", - "ax.set_ylabel('Quasienergy')\n", - "ax.set_title('Floquet quasienergies');" + "#### Plot Floquet spectrum\n", + "One should keep in mind that the quasi-energies are uniquely defined up to multiples of $2\\pi/T$. The spectrum is thus folded in what we can refer to as the first Briouillin, *i.e.* in the interval $[-\\pi/T,\\pi/T]$." ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, ax = plt.subplots()\n", - "ax.plot(param, np.real(f_gnd_prob[:,0]), 'b', \n", - " param, np.real(f_gnd_prob[:,1]), 'r')\n", - "ax.set_xlabel('A or e')\n", - "ax.set_ylabel('Occ. prob.')\n", - "ax.set_title('Floquet modes excitation probability');" + "ax.plot(eps0, np.real(q_energies[:,0]) / delta, 'b',\n", + " eps0, np.real(q_energies[:,1]) / delta, 'r')\n", + "ax.set_xlabel('eps0')\n", + "ax.set_ylabel('Quasienergy')\n", + "ax.set_title('Floquet quasienergies');" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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fBz4JfDLZLsC1wDzsHbWTijlu2ULw6qt2uldcUd7/y+HWWy3NF16wBwKsgs2aAw9UPeSQLdf/4Q+WhwsuUN20qfTjtraq3nOPHR9UzzqrvOM45s5VvfRS1cmTVSdNUt1/f9XjjlP96ldVH3rI0suC229XFVE9+ODiBSDNyy+rNjaqvu99He/T1qZ65JGqgwervvFG6Wm89JLqxImqdXWqU6eW/v9iaGmxY3/5y3YP9t9f9a1vVT3+eNXLLivv2jg2bFA97TQrJ4ceauls3lzecT7xiY4r3gkT/DTuXnzR8nDLLapPPmnL99+ffbqOr3/dysLKlWUfIogQZPUpWwhuvNFO99//Lu//5XDHHbk0r73WlsupFErlwgtV+/e3h8ixdKnqkCGqb3tb91tPLS2qX/uanc/FF5f+/40brSVXV2cV8vjxqscea58JE2w9qO6yi123SgrC9OmqDQ12HdatK/84l11meXzkkcLb77zTtl99dflprF5t1kRTk+rMmeUfJ59Nm1SvvFJ1xx0tj85qmTxZ9ZhjzOJx6y+4oLzr/5nP2DEuu6w8AUizYYOVixEjVFetyq1fudLKzyWXdO/4xfDSS3Y+N92k+thjtvzww9mn6/jrXy3NO+4o+xBRCFStFXjMMd0vlKVwzz12if/1L9Wf/tSWly/PPt0//9nSevLJ3Lrbb99yXXc591w75pQpxf+npUX15JPtf5/+tFlq+axZo/rHP5pVA2YtdOWGKYa2Nmudbred6pIl3TvW+vVWUXYkhJ/+tOpWW3VfxBYuNBfR8cd37ziOl15S3Xtvu67vepeVlbVrt9zvlVdUP/5x2++jHy3tubntNvvfhRdWJs+qqvfdZ8d84IEt1z30UOXS6YgFCyytX//a0gPVxx/PPl3Hxo2qRxyheu+9ZR8iCkEo7r8/V/n+6Ee2vHp19ukuXqxbuMG+/W1rPTU3Vy6ddeus9bj33lbJFsNXv2p5+8lPut63rc3cWYMHW+u1WD97R0ydamlfc033juPYb7+O3RIHHqj6zndWJp3vfc/y/Y9/dO8406apDh9usZ6//KW4/3z725b25ZcXt//mzaqjR5ubqTtuw3xcmb7yytw65y5Zs6Zy6XTEokWW/vXX5wTo73/PPt0K0pkQxNFHWeJ61rS02Aesi2jWjBhhPVOefjq3bsYMG3DWVZfSUmhshM9+Fl54Af797673X7nSureeeiqcf37X+4tY75nHH7cufscd172+29/4BuyyC5x9dvnHSLP//vDMM1uOCWltheees+2V4HOfs3v69a+Xf4wlS+z6DRgAf/tb8T1svvENmDwZfvzj3LiKznjiCViwwHo/VbJn2YgRMHy4lWPHtGkwfryfrs3uuXVdTKE6es4lRCHIEldQXL/k9Lqs2Xrr9oNrXnjBurtVmtNOs77fN9zQ9b7XXWfdJS++uLQ0JkywvtSvvgrnnlveYLz//Af+9S/4whe2HOldLhMnWrfQhQvbr5892/rFT5xYmXQGDoTzzoOHH7aBbqXS1gYf/aiJ6N13W/fYYhGx+7VsWXH3+De/sT78731v6fnsir33bi8Ezc2ljefoDoUadVEIIkWRbkW4wlPMAJdKpe1aLhs2WEU4fnzl09l6axtXcPPN1l+8IzZtsgF27363DRQqlQMPtLEPt90GU6aU/v9777Xv97yn9P92hGvxP/NM+/Xud6UsAshNL3DffaX/97bb4P77rVVfTmPgkEPgoIPgRz/qfMqG5mabwuXUU83yqDTjx8OLL+by0Nrqx8KGcNa9J6IQZEm68LS22m9f0wj07ZsrsHPm2GjILIQA4IwzbPT03//e8T7PPguLF3fPLXPhhTBypI3WLpUpU2DPPc09VikmTDBhLyQEAwbA7rtXNq0ddyxdBFVtYNqee8KnPlVe2iJ23xYssAFVHfHoo2aFfuhD5aXTFePH2/Ffftl+t7T4a5WHtO49EIUgS/ILj88WRNoieOEF+87CNQSw3372PXNmx/tMn27fBxxQfjp9+5rv+fHHbb6mYmlutmk3jjuu/LQL0dgIY8cWFoJ9962s9SdivvoHHshVRMXw0EMmwhdd1L0JCd/6Vvt297EQL75o3648VBpXfp17yKdFEGMEkbLJNyd9Fpy+fXMFdsYM+z1mTDZp7bCD+YU7mkcHrAIZOrT7c+icfba5o668svj/PPywuaYmT+5e2oXYbz+raNM8+2w2leHkyRZj+dvfiv/PlVfa/eluK33sWBO+zoRg1iyzWgYP7l5aHTFunH2nhcDXM+VEPcYIIiWTHyPwWXDq63MF9sUXLUCYVfoi9pB2JQQTJ3bfNTZokPmg77vPKvdiePxxm2PqkEO6l3YhttvOAsaOlharrLfbrvJpHXmkXb/HHitu/zVrzCL40Ie6HyCvr7eZNzsTgpkzTTCyYqutrNeXEwKfVrZIzt0aYwSRkghpEaRdQ2++mf3kWGPHduwa2rDBHt5K9aI5+mhz93QWk0gze7b567OYwnfAADs/F8B0XSyzCJYOGmQV4Zw5xe3/6KNWBo7p7P1QJTBxorm9CgWMVe06ZykEYF1IXRdin64hyFnZ0SKIlEQ6RhCi0LoC60OExo61qbAL9fN//nk7/0oJwRFH2LWcOrW4/efMsWBpFrhxGU4AXJfdSo7XSLPnnsULwdSplo/0bLvdYeJEE+BCAeNFi2ybc99khe9yncZZ2TFGECmJ0K4hV2B9mNCuJVjIPeTcCZUSgq22simBixGCjRutt0spfedLwVX4TgCyFoI99rCKuJixFFOn2hTGlRw3AYXdQ84azNoiSLs8QzWuomsoUhKhg8XpB8aHRQCFheDZZ23gzy67VC69o4+20cyLF3e+37x55sqoJiFYu9YG13XG3Ll27kcfXbm0x42zWEt+cBxy9z1rIUh3ggj1TEXXUKQk8ruPhrQIsk579GhreRaKE7z+uvX/r+QYCvdSmCef7Hy/2bPtu5qEAHLn1RGuZ1ExL88plvp62H77wqObZ82yXmHDh1cuvULkN3BCxAjccxUtgkhRFBpQ5gvfQlBXZ5VUIYtg+XKrJCqJe8tbZz2VIOdPz0oIXFA4XwiyCBZDLtbRVZxg1iwLjle6y/DQoe17SaXTGzs2+wGTvi3dNM4t5VytVfSO6SgEWZIfIwgVLPbVctphB5vcLJ8shGDQILMyumoZz5mTG+eQBfnBYvedlUWw/fZ27l0JwezZJgKVvu8dCcHixXads8Z37CtN2jVURdYARCHIlp4ULPaR9uDB9iLyfFasyGZysD33LM4iyMoaAP+uIRE7n2KEIIueUttsY/czn1WrshtIlia0ayjEs+yBKARZIpKrkEMGi0MKgapVHJW2CMAqutmzO+5Bo5pt11HwLwTQdRfSTZssUJzFeXdkEfgWAlWbPyvEM+XbJeWBKARZk+57XIsWwapV9sBmIQRjx3beg2bVKhtMt9tulU/bEUIIdtsN/vvf3P3NZ+5cu+ZZ9OAZOtTGiqTT3rTJBtX5FIIQAdt0oy66hiIlEcqvmBYCXyb04MHWbz89HbVrPWZlEUDH7qFly+w7y1HVIYRgxIicpVUIFzfJyiIAE1iHE38fQuDKdYhBXdE1FCmbUIXHdXVT9WsRQHurIEshcC3ejgLGTgiGDat82o5CvYbq67O93u583Pnlk2WXWXcf0+4hn0IQclBXdA1FyiY9P4lv1xCYi6BahWDbbS3NriyCLIWgocFiQeleQ1laA9C1EMyaZT2qsniFY08RghCuoWgRRMomVIzApbVxo42sDSUEzn2RRa8hkc57DvkQAhGr+NMWQWghyKrHEOTuY9otFdIiCGFlxxhBpGRCxgjAgnjp31ni2yIAG9G8aFHhbT6EAHqeECxcCKNGZZN2aIsgP0bg+5mKFkGkLEK7htavz+Uja4YMse98IRCxl8lkwYgRhQexgVWU/fpl4yJJ41sIXGVcSAja2mDpUnObZZl2ISFw9z9LQlsEMUYQKYuQwWLI+a59uobSU1EvX24VRCVf25hmxAhYvTpn+aRZtsxaz1lPBeBbCBoaTNwKCcGKFSYGWfWU2mora2SkhcDdb1+uoba23EuJ4sjiihCFIGtCjiOAXAUZMliclVsIchXe0qVbbnNCkDUDBrQXgqzmGUozbFhhIXDWUVZCIGJxgkIWwVZbZZNmGleOfZbrdNohrHsPRCHImtAWgXMN+WjBuIogXwiyCBQ7XIVXyD3kSwgGDvTbawjCCQEUFoKBA/2UsXyXZ4gYQXQNRUomVE8Dl5ZP11Bdnbks8nsNhbIIli71JwQ+XUNg51XonH0IwdChW/Ya8uEWgi1dnrH7aEWIQpA1oXoahAgWw5bTTGTtGnLz34e2CEIIQWcWQZbvBcifbyiEEPgu1y6tGCOIlEUtuYbAvxB05BpqbbVpEGpNCJYuNT9+ltc8pBCEdA3FGEF5iMgxIjJHROaKyMUFtu8sIo+KyL9F5HkRmZxlfoLQt68N6lKtPYtg0yZYsybbSqmpyd6Mli8Eb75p19xnsFjVb7C4uXnL3lJLlti2rHppQe1aBDFGUDoiUgdcCxwLjANOF5Fxebt9HbhVVfcDTgN+nlV+gtG3b7jWC/iNEUB7IXB+5CyFQKTwWAJfg8kgZxFs2GBi4MsigC2nhF6yJNv4ANj93LAhV7ZCCkHsPloRsrQIDgDmqup8Vd0E3AKcmLePAq7P2WDgtQzzE4b6+nCtFwhrEbgZKrMaTOYYMWLLwKlvIWhtzZ23TyHIdw/5EAJ3P53Qx2BxrydLIdgRWJj6vShZl+YS4AwRWQRMAT5b6EAicq6ITBORaUsL9ZToyfTt679Vnk4rZIzApd3YmG2aPcEigJwYVbsQuPvp3FIhYwS+nylVc3lGIagopwM3qOpOwGTgJhHZIk+qer2qTlLVScOz7A2RBWnXUK1ZBO69BA0N2aY5fHjHQuCjvLiK3+UhtBBkfc7ufm7c6PelNBDWNZR+pqIQFM2rwMjU752SdWk+DtwKoKr/ABoAD004j6RdQ6EKLfgruEOGWAWxYUNOCPr3zzZNZxGkX1npKsgs4xOOniIEmzbZdA9ZWwTufm7c6HeeIQjffRTMwo8xgqJ5GhgjIqNFpB8WDL4rb5//Au8CEJGxmBD0Mt9PF7heQ27ZZ7oQxiIAqyCc6yBri2DECEuruTm3btky672TtVsKcr2EnBD46DXkBC7tKvXxRjbI3c8NG/zOMwThg8Vgz3O0CIpDVVuB84CpwCysd9CLInKpiJyQ7HYhcI6IPAf8AThTtaM3kfdS0gUmpGvIZ4wATAh8WgTQvlJcvdpf5RQiRlBfb+msWZNb52NUMRS2CGolRlBouQrItHZQ1SlYEDi97pup5ZnAwVnmITihCk+tWQRgFeGuu9pyc7OfChnCCIFLJ20F+RKCtEXQ1mbLtWARpNOqMtdQdZ1NTyRU4Qkx1xCEtQgWL86tW7s2+/cQOELECMDOz41oTqefdbA4bRE4sa+V7qOFlquAKARZ01NcQ77SdpXgunW5SiJrIXD92tNTW4SwCHwLQb5F4Pz1Wc72Cu0tAvemMF/n3BOCxb7T9UDo7qPVT09xDflqObng7Pr1/rqPupZ/2l/u0yIIESyGLS0Cd/5Zn3faIvA1VsQReq6hQstVQBSCrEkX1FqwCNKtRV+uIVfxpVvHviZ/g1w68+fbty8hSE92B3b+dXXZX+9CrqGsxd7RUyyCGCOIlERoi8B3jCBtEfiqJBoboU+f9hZBc7M/i2DwYLj4YhOCceOynfAtzaBB7eMia9bYJHxZv5ozLfbuHvuyCELGCEI16jwQhSBrQrUiQryqEnKVhHMNiWR/3iJWKYayCETg8sv9pJWmkEXgQ/wKuYZ8WwSuXEfXUEWIrqGs6SnBYt8xAtdabGjIvoUK1hJOC4HPYHEo8oPFzc12HbIm3yLo29efFdRTYgRV5hqKQpA1oczJUK4h11p0FkHW/mrHoEE519DmzVZB+XINhaJQsNjHOdfXmyvOWQS+3ELQvlzX1flpZOSnnb9cBUQhyJqeYhH4SlvEWoyutehTCFzr2FWOtWARrF2bG9TlMy6Svse+3ELQPljsuzKu4hhBFIKsCR0jcD13fJnuYC1EZxH4qiSamugMAlcAACAASURBVHIWgROCWrAIICf2Lljsg/79w1oEGzf6d89E11CkbEK1IkRylX99vV8TOi0E0SLIDnd+7nx9WwQhhCBkqzy6hiJlE7LwuIfGd7oh3AZpi8AJQq1YBO58fVsEIV1DENYiiEIQKYmQhcel5zvdaBH4IaRFEMo1lHZx+haCGCOIlE3IFoxLz3e6jY3+W4tpIahFi2DzZutJEyJY7FMI0uNSQrqGYowgUhI9wacZwjXk2yJw4wja2mrTInDnHCJY7NM1BLnyHF1DFSMKQdbUYozAuYZ8dx8FaxXXokXg+5ydReDbNQThGjhRCCJlU6tC4Cad8xksBguY1qJF4ALlvi0C364hCGcRVPGLaaIQZE3IwhPqgXGuoRAWQXNz7Y0jWLs2rEXg2zUUKvZVxRZBdclaT8QVmHS/fl+Edg1t3hzGInCVoq/poEPhLILm5nAWQXQNVQVRCLImVKENmbZzDbW1hbMIBgyw+XCqmbRrKIRFUGuuoSgEkbIJKQQhB5StXw+qfruPQi5wWu3xAbD7279/mGBx//4591+oXkMh5xqqshhBdZ1NTyRUZZxOM9Q4AvDbfRRyweJaEALITTzn2zXU0ACrV9uyb4sgVIzAzXaqWnUWQZXbzj2AUJVxOs0QrqGWFvuEcA35HGEbGjeQLoRF4ILytRIjCJ12hkQhyJpadQ0VWs6SaBHYb59C4KiVAWWh086QKARZU4utl3QL0ZdFkO5Bs3ZtbVkELljc0OCvgkpX/rUSLE6nHS2CSEmEjBGE8qWGsAj69bOP6z5aSxaB6z7qU/xCWgQ94ZmKQhApiVpsvYSwCCA331CtWgS+AsUQLYIoBJGSqMUYQbpi8NlaTAdOa80i8B0gTwt8LQaLY4wgUhK1aMamK3/fFoELFteaReDzpTQQxv3nCG0R9OlTdYMVq+tseiK12HoJ5RoaNKh2YwS1ZBGEin25NKvMLQRlCoGI3FPkfseIyBwRmSsiF3ewzwdEZKaIvCgivy8nPz2aWh1H4PDtGlq2zAb81KJF4POce0KMIFTjqsrcQlC+RXBOVzuISB1wLXAsMA44XUTG5e0zBvgKcLCq7gWcX2Z+ei5usrla6j4a0jU0b54t15JF0NoKCxf6dQ3V8jiCWrUIRKSfiEwQkb1FpJ+qvl7E3w4A5qrqfFXdBNwCnJi3zznAtar6JoCqLikl872GUOZkrVkEO+1kLeNx4+Cww/ylG5KjjoLdd7fz3nFHf+n2BNdQqMZVFQpBl5IqIscB1wHzAAFGi8gnVPW+Lv66I7Aw9XsRcGDePrsnaTwJ1AGXqOr9BfJwLnAuwM4779xVlnseoQpPyHcWO3xaBN//Plx0EYwc6S/N0Lz1rTBnDrzyCmy7rb90e4JrKMYIKkYxV/LHwOGqOhdARHYD7gW6EoJi0x8DHAbsBDwuInur6sr0Tqp6PXA9wKRJk7QC6follBD0BNeQT4tgwIDqfwdBR+yyi9/0eoJrKMYIKkYxrqE1TgQS5gNrivjfq0C6abZTsi7NIuAuVW1R1QXAS5gwVBf19bUbLPZpEUT84Sp/Ef/3OMYIKk6HV1JE3pcsThORKcCtgALvB54u4thPA2NEZDQmAKcBH8zb5y/A6cBvRGQY5iqaX9IZ9AZCWwS14hqK+MPd14YGEwOfhOw+WmtCALwntbwYeGeyvBTo0hZU1VYROQ+Yivn/f62qL4rIpcA0Vb0r2fZuEZkJbAYuUtXlZZxHz6ax0b/5DOEsgvp66ynl81WVEb+4+xri/oZ0Dbk5raqMDoVAVT/W3YOr6hRgSt66b6aWFbgg+VQvv/oVbL+9/3RD9q5obLRBTtEiqE7cffUdKIawrqEvfxlWrux6v15GMb2GdgKuBg5OVj0BfF5VF2WZsaoiVFfGkC2nKATVjbMEQgpBiHJ90EH+0/RAMcHi3wB3ATskn7uTdZGeTkhfakNDbl6WSPWRjhH4JmS5rlKKeUqHq+pvVLU1+dwADM84X5FKENoiiPGB6sX5yWvNNVSlFCMEy0XkDBGpSz5nANUX0K1GQsYIGhqiW6iacd1Ga801VKUUIwRnAR8A3gBeB04Buh1IjnggdLA4CkF1079/2F5D0SKoGJ1eyWTiuPep6gme8hOpJCEfmOgaqn4aGsJYBFX6usiQdGoRqOpmbMBXpDcSXUORLIkWQdVQzJV8UkSuAf4IrHUrVfWZzHIVqQwhfamTJ8PrxUxSG+m1nHwy7L23/3RjjKDiFCME+ybfl6bWKXBE5bMTqSghLYLPftZ/mhG//OQnYdKNFkHF6fJKqurhPjISyYD4wESqkTiOoOJ02WtIRIaKyM9E5BkRmS4iV4nIUB+Zi3STGFSLVCPRNVRxiuk+egs20dzJWNfRpVi8INLTiUIQqUaipVtxirmS26vqd1K/vysip2aVoUgF2Xlne1h8vsIwEsmakSNtdtsddgidk6qhGCF4QEROw95HAGYVTM0uS5GKMWECrF4dpq93JJIVEybAqlUwcGDonFQNxbiGzgF+D2xMPrcAnxCRNSKyOsvMRSpAFIFINRJFoKJ0KQSq2qSqfVS1b/Lpk6xrUtWtfGQyUh7z5sGYMbE7f6S6mDcPdt0VXs1/8W2kbOIcwVXM7Nkwd649OJFItTBnDixYAPOr76W2wYhCUMW0ttp3S0vYfEQilcSVZ1e+I90nCkEV4x6YKASRaiKW68oThaCKiRZBpBqJFkHlKUsIROSeSmckUnlCPjB33AG//KX/dCP+uOYauP9+/+nGBk7lKdciOKeiuYhkQsgH5le/gquu8p9uxB8/+hHceKP/dKNFUHmKmWtooIj0Sf3uA6zKNFeRihBSCNavh40b/acb8ceGDXaffRNjBJWnGIvgYWBA6vcA4KFsshOpJCEfmA0bohBUOxs32n32TbQIKk8xQtCgqs3uR7I8oJP9Iz0E96CEeGDWrw9TSUT8EcoiCFmuq5VihGCtiOzvfojIRCDA7Y+USkiLILqGqhtVu7/RNVQdFDPp3PnAbSLyGiDAdkCcfbQXEDJGsGFDtAiqmZYWE4PoGqoOinlD2dMisiewR7JqjqpGLe4FhA4Wb9pklYWI//Qj2eKsvWgRVAfF9Br6DDBQVWeo6gxgkIh8OvusVQ9z58LSpf7TDdlychVEdA9VJ84SqLUYwfz58MIL/tPNmqKmoVbVle6Hqr5JHEdQEiedBN/8pv90Q7uGIApBteLua625hi6+GM46y3+6WVOMENSJ5Ix7EakD+mWXpepj5Ur7+CaUCb15cy7NKATVSUiLIKRrqLkZ1q71n27WFCME9wN/FJF3ici7gD8k67pERI4RkTkiMldELu5kv5NFREVkUnHZ7l20tIQptKEsgnTlEAPG1Uk6RqDqN+2QFkFra3XGJorpNfRl4FzgU8nvB4FfdfWnxHK4FjgKWAQ8LSJ3qerMvP2agM8D/ywh372K0ELg+4FJV/7RIqhO3H1VtbLdz6OPIKTLM9SznDXFCEE/4G/JZ66qFtvGOyDZfz6AiNwCnAjMzNvvO8APgIuKPG6vo7U1TOsllAkd0iKo1V5Kvs87fV/Xr/crBCEtgmoVgg5dQyJSLyJXYK35G4HfAgtF5AoR6VvEsXcEFqZ+L0rWpdPYHxipqvd2diAROVdEponItKUhut90k9AWQUgh8GkRfOtbsNVWcMopsHBh1/tXA/PmwYknwqBBNgmcL9L31XecIGSMoKWlOscvdBYj+CGwDTBaVSeq6v7AbsAQoNtFLpm87krgwq72VdXrVXWSqk4aPnx4d5P2TighCNVySrcWfVoEL75o53z77XD33f7SDcltt8Fdd1mAfma+rZ0hoe4xhO0+Wq0xgs6E4His6+gat0JVV2OxgslFHPtVYGTq907JOkcTMB74q4i8DLwNuKvaAsaq7XvR+KTWLII1a2DMGFtubu5832qhuRn69IHRo+38fdETLILoGqocnQmBqm7ZH0BVNwPF9BN4GhgjIqNFpB9wGnBX6jirVHWYqo5S1VHAU8AJqjqtpDPo4YQObIVIO5QQNDfD8OHmK6/GLn6FWLvW3EJNTX7FLz9G4JPoGqo8nQnBTBH5SP5KETkDmN3VgVW1FTgPmArMAm5V1RdF5FIROaHcDPc2Qnd1S+fBF6HcBs3NFiMYMKC2hGDgQBMDn0KQFnjfrqFoEVSeznoNfQb4s4icBUxP1k0CGoH3FnNwVZ0CTMlbV3CMraoeVswxexshWy+hfKkhXUNNTVYx1pJraOBAO+9XXvGXbkiLIKSV3dpqrt5q653WoRCo6qvAgSJyBLBXsnqKqj7sJWdVQq27hnxbBIMG2aeWLAJ3zqEsglqLEbhvn11ms6aY2UcfAR7xkJeqpCdYBCFdQ74tgkGDatMiGDQoXLC41lxDLu1qEoJyX14fKZKeUGhrwSJobbW0mppq0yKIweLqTztLohBkTGh/ZvrbFyEsAlfx17JFsG6d+a99ENIiCD2OAKIQREqkFl1DIYLFzi1SyxaB++2DWrcIqq0LaRSCjOkJhTaEENTVQX29v9aiswBq2SJwv32wcSM0NNhyrQaLq4koBBlTq+MIGhuhf/8wFsHAgbVlEbjuo+AvYLxhAwwenFv2SajKuK3NPiHSzppiZh+NdIOe0H00xDiChgZ7aEJYBL67UoZi82a71u6cwa9F0NhoPWdCjSPwXa7Tz3AUgkhJ1GqMoLHRKirfFoFzDa1bZ0LUp4pt3nXr7DvtGvJpETQ02H2uFddQOr0YI4iUhCu0abPSFz3BNeTbInDBYtUwr1H0SdoKcq4hnxZB//52n2vFNVTNFkEUgoxJtxxCFdwQFkFDg318WQT5wWKo/jiBO78QwWJnETQ01I5FEIUgUjbpAhPKlA0RIwgZLPZdKYaikEXgyzWUtghqZa6hkM9y1sQYQcaEbEWEsgica0jEv2to4MBoEfhg40ab6TWkayhkjCBaBJGSCCkEIYPFDQ3+LYIBA2z8Qi0Lgc9gcf/+YV1DMUZQOaIQZEzIVkToXkO+g8WuMqxF11B9vVXKIYLFPoVANcYIsiAKQcaE9CuGfGdxiGCxE4BatAjA7/iJ9D326RpK97wLKQQxRhApiVp1DTU25mYE9YF7KQ3UpkUAdv7VHizuCc9TiLSzJgpBxoQqPKrthcDnG5WcELS0RIsgS3qCRbBpUzghiK6hyhFdQxkTqvC46YjdyzN8DmZzlYTvYHGtWgQDBth3CIvAt2vIVf79+sXuo5UkCkHGhCo8Lq3Gxi3zkSVuRG9jo99KolYtgsZG6ykFYSyCUK4h53r0SbQIImUTqvCkHxifaTs3lG+LoLk5ZxHU11uLsRYsAid64O8tZZs32ydE99F8IVD1l3Y1xwiiEGRMqMITyiJwlYLv7qPufcWOWng5jXspjcPXe4uduLtg8aZN/lyP+Q0cX29kS6edv1wNxGBxxvQUi8CXGZ0WAjcVdWurtdKzQrW9awj8v5zmxhthwQLYYw84/XQ/aeZbBL5cQ07c3Ytp3DoXq8iS/AZO1mUrTTXHCKIQZEytxQjSlUT//rl16Uq60mzcaOfrXEPg1yJoboYzz7TlPn3g1FP9TH+dbxH4ChanLQKHLyEo5PJMC5KPtPOXq4HoGsqY0BaBezhDuIbcA5p1nCC/Pz34tQhc5TtqlFlAvnzmhSyClhZz1WRJWuxdhezrnPPLdYjGVTof1UIUgoyp9RgB+BOCUBaBS2fEiPa/faSbbxFA9gKYHyMA/0Lgu1znp1VtrqEoBBkTyiIo5Ev1gXtrVtoiyDpgvHKlfW+1VW6dz/cWu3N2QuB+Z02+ReDeIfzmm9mmW8gi8HXOoco1RNdQpBuEdg35bjmtWmXfgwf7swiWLLFvVxGDX9dQSIsgLQTDh9v30qXZppu2CJz4uPueNaE6QaTTzl+uBmKwOGNCvec0lGsoLQS+LIJCQlCLriGXvrseWZG2CFz6oYQglGuo2oQgWgQZE9oi8B0sDmERuBZwWgiammD16mzTdbiK37XIfQjB5s1bdpl1518LFkHoYHGMEZSAiBwjInNEZK6IXFxg+wUiMlNEnheRh0VklyzzE4KWFujbN7fsi1C+1EJC4MMi6Ns3VykBDB1qvXmy7kEDYYRg5UobPzFsWG6dS9+XRRBCCEJZuum0+vaNFkHRiEgdcC1wLDAOOF1ExuXt9m9gkqpOAP4EXJFVfkLR0uK/VQ5hXUP19X67jy5ZYpVgenZVVykuX55t2hDGNbRsmX278wS75k1N2QuBu58NDbUZIxgwIApBKRwAzFXV+aq6CbgFODG9g6o+qqquv8FTwE4Z5icIra1hC20IIRg82Cpln8HitFsIci1lV2FmSYheQ+680haBy4MvIXBzDfXtW1tCEGLCu6zJUgh2BBamfi9K1nXEx4H7Cm0QkXNFZJqITFuatQO0wrS0hDFjQ1oErpXoLIKs+5iHFoKQFkEIIXD3s6HBBH/w4NoIFre25ho40SLIABE5A5gE/LDQdlW9XlUnqeqk4WlbuBcQyjUUquWUFoIhQ+zb9fPPip4gBHV1sPXWud9Z05EQDB+evRC4++nur08hCD2OoL4+xghK5VVgZOr3Tsm6dojIkcDXgBNU1dOkxf5Iu4ZqxSJwFcTQofadtZ9+6dLwQjBwYO5ah7YIsjaaly+3ytD1WBoypDYsAtfxIwpBaTwNjBGR0SLSDzgNuCu9g4jsB/wCE4GM2zFhaGkxU1IkTFc339bIypXtXUMDBmQrBGvX2iffUHQi5EsIBgywezxggD8haGzccqI3JwRZTgu9fLldXxecHzw4e6vPEbL7aFoIYoygSFS1FTgPmArMAm5V1RdF5FIROSHZ7YfAIOA2EXlWRO7q4HC9Fld46utrZ2RxfjfOLIWg0BgCyHUn9RUsdiN8Bw70EyxeunRLawDsOrS2ZlsxOyFw1FKMIMSz7INMRxar6hRgSt66b6aWj8wy/Z6AmybXtznpWiwuYBsiRgDZC0GhUcWOYcOyd5NA+6kefM1xtGxZx0IAdl222SabtEMKQahyDTFGEOkGrhXhu/CEGFnc1maDuNJCsM02YYXAZ4wAepYQZMXy5e1FJoRFEF1DlSUKQcaEakWECBavWWOjXfMtghUrskszCkF7fIwuXrFiS4tgzRo/r42MweJsiEKQMaFaESG62aWnl3D4ihEU6lU8fHh1C0Ghc856viHVwq4h8PN2tJDdR6s5RhCFIGNCFZ4QLaeOhGDFiux6sSxZYm6C9HTMDp8WgXNV+Og11NJi17qQReDWZWURrF1r8zcVEgIf7qGWlvaj1n0/UzFGECmLUOZkiO6jHQlBW1t2lUShwWSOYcNsFGzWvXh89xpyFlYhIaivt2uelRC4tEMKgWtYQYwRVIooBBkTqhXRkywCyM499N//wo4dTFzia1CZb9dQR4PJHDvuCK+8kk3aPUUI3Iy+IYQguoYiJRM6RtCvn7/BbIWEwPUuySpgPHs27Lln4W0+hEC15wnBnnvCnDnZpO3uY36vIfAjBK2tVhE7iyDEOILoGoqUTKgYgav4fVojriJwU0xAthbBihXmAgkpBJs2WW+ZniYE8+dn8x6IQhaBu9+14Bpyz1N0DUVKIqRrqK7OrAHfQuDLNTR7tn2PHVt4uw8hcJV+Wgg2bcq2oihGCNraYO7cyqfd01xDsftoZYhCkDEhg8Wu1eQr7ZUrLS036hOyFYJZs+y7K4sgy9HFTgjSvYbS67PAnU+6Mk7jhNFdn0ri7mMh15CP+YZCWwQxRhApi7RfMUShBSu4vmIE7qU0jiFD7HdWFkH//jBqVOHt22xjLfQFCyqftsP1EEpbBOn1WbBgAWy3ncV/CrH77vbtLKZKsny5vQUtnXZDg/2u9hhBtAgiZaEarhURwiLIn2cIcvP0Z2UR7L67pVEIEdhjj+wCp1DYNZRenwVz5nRsBYFZJbvskp1FUMgS8TXNhHue+vSxj+8OGDFGECkZN+Q+1BQTPUEIwFrmWfQa6qzHkGOPPbJpGTtCCMHs2XZenTF2bDbnvWJF4cnsfAsB+LN089OOrqFISbjCEmrSOffA+Ep7yZLCrcUsppnYsMFcJB0Fih177GF96rN6XaZvIVi2zCrjroTAdSGt9IjujiyCYcNg8eLKplWIEOU6P+3oGoqUhGuthBpH4CwCHy0n1Y5b6FkIwUsvWSVXjEWgmk0PGvAfLHZurmKEYN26yg8s60gIsra8HL7LdZr8MUGq/tLOmigEGeJaDS64Vc0WwaJF0NxcuIU+YgS89lpl0/vrX+37bW/rfD9XYWZVSfkOFrvz6EoI3HV57LHKpd3WBm+8UXhKj7Fj4fXXs3cPhbQI0h0/wM9sq76IQpAhIV1DvmMELjBZSAgmTLAK5I03Kpfe/ffDmDEwenTn+7keNFkFjH27hubMsR46HfWUckyYYD2L7r+/cmnPnWtiP2HCltvGjbPvLALUaULHCEL1WMqaKAQZ0lNiBD6sEVcBuAohzcSJ9j19emXS2rDBLIKjj+5634EDYeTI6hKCMWM67inlEIF3vxsefLByLVd3/9z9TOMaADNnViatjnCVMYTrkh1iMFvWRCHIkPwYQUiLIOsHZuZM601SaI78/faziqlSQvC3v1nw95hjits/yy6kIYSgK7eQ45hjLLBcqes+fbqN29hrry23jR5t27K2CJx7BsK5W0NMeJc1UQgyJD9GECpY3NQEb76ZbXqzZlmrMD2YzNHUZC6aSlVI999v7pHDDitufxfIzOKdCGvXWgXoWuhZCsHGjTBvXvFCcNRRdj8q5R6aPt3cQq4iTFNXZ/nKWghWroRBg2w5xDOVHtUcLYJIUfQU19DYsfaAZvVyGMgJQUdMnFgZIWhpgVtvNREo9DKaQhx0kL09a9q07qefz/LlsNVWud9uio0sBtA98YRVRgcdVNz+w4ZZ0Pj3v+/+vW9rg2eeKewWcowdm61raP16E0LnfgzxTLkxQe53tRCFIEN6imto/Hh7iLKaamHpUuvfXig+4Jg4EV59tft9zW+5BRYuhM9/vvj/HHOMtYynTOle2oV47jnYe+/cbxG73s89V/m0pkwx6+OII4r/z+c+Z+6ku+/uXtrz5sHq1Z0Lwbhx8PLL2Y3ZcFbd+PH226dFsHmzdReNrqFIyfQUi8BVVC+8kE1a7ridWQSTJtl3d1rlqnDFFVYRHHts8f8bOtRaxvfeW37ahWhpgeef37JynDjRWs+V7md+772lWUIAp5xi/vsf/KB7+XHWnLuPhRg71tKYMaP8dDrDHdcJgc9nKv9ZTq+rBqIQZEg6RhByQJlrqWf1gN56q70J7e1v73ifiRMtVnDzzeWn87vf2Tl88YuFYxGdcdxxJkKVHP06c6ZNOb3//u3X77+/+bJffrlyac2da4PojjuutP/V18OFF8I//gF33VV++jffbK6mQoFix2GHWXq33lp+Op3xwgsWG3rLW+y3T4sgbd3HGEGkJNKtiPp6ay35GoSSFoJBg6xVmIUQrF9v7ppTTmnvK89n4ED4xCeskijHRTVvHnzmM3DwwfChD5X+/8mT7buS7qFnnrHvQkKQ3l4JXL5LsYQcZ59tPbc+/nFzz5XKjBlwzz3mZioUKHYMHw7HHw833ZRNJTljhlkd6QFlvoQgv1GXXlcNRCHIkPwYAfgrPM3N7d8LsPfe2QjBHXfYaNKPfazrfc8/32aMvPLK0tJ44w1473utZ8rNN+cErhT23ddaklddVbmg+fTpJrKuheoYP97yWKleUi0tcPXVVpnnp1UM/fubWG/YYNex1ED2j35kU2d8+tNd73vmmWZ1TZ1aej67YsaMnFsI7LzWrKl8OoUo5BqKMYJIUYRqRaxaZQHCffbJrRs/3tZt2lS5dNra4NprbZTrO9/Z9f477ggf+Qhcdx3ceWdxaUyfbi6nefPgtttseuVyEIFLLrEg7p/+VN4x8nnmGauc++Q9RQ0N5kKplEVw443mGvr2t8s/xu67W++h55+HQw8tPl70hz/Ab38L55zT8Ytw0kyebJbB1VdXNkaycqV1EkgLwT772Pls3Fi5dDoi37pPr6sGakYInngCvvAFvxNFhWpFPPWUVdKHHJJbN368pV3Jft6XXw5//zt8/etbVoYdceWV5jr5wAfgmms6FqYXXoBzz4UDDjD30yOPwJFHdi+/p51m8ZJvfrP7PVs2bzZR6agXjesu293ytmYNXHqpXYfjj+/esU44wVrqS5aYgJ13XsdzMG3YYJbAhz9sIv+97xWXRt++8JWvwAMP2P2tFPmBYrDyvXFj5Syvzghp3YOVt/POs2c7E1S1V30mTpyo5fDzn6uC6ksvlfX3svjLXyzNZ55RveYaW168OPt0v/511bo61TVrcuteeUW1Xz/V975Xta2t+2ncdJNqnz6qp59e+vFWrFA9/HC7HiNGqJ5yiuoXvqB6wQWqH/iA6qhRtq1/f9XzzlN9883u59dx332qIpbm5s3lH+fXv7Y83n574e033GDb//Sn8tNoaVE95hi7l48/Xv5x8lm6VPWcc1T79rU8vuUtqqedZtf//POtjAwdatuOPVZ19erSjt/Wpvqe99jxO7o+pbB5s+pRR6kOGND++XnjDcvjFVd0P42u+M9/LK3f/lb1r3+15UceyT5dx9NPW5q/+135xwCmaQf1avCKvdRPuULgbuS115b197K47TZL84UXVH/xC1tetCj7dA8/XLXQZbriCsvD//t/5R/7pZdUzzjDjnPooaVXEo62NtX771f94AdVR49WHTTIHvTddlN93/tMOJctKz+fnfHjH1v+zzijvVgWy/LlqsOGqb797R2LSUuL6j77qO60U3lpvPmm6sknWz6vv770/xfD4sWqP/2p6oknqu66q2pjo2pTkwnDhz/cvYpu+XLVt77V8n/22arz55d3nLY21R/+0I5z3XVbbh8zRvWEE8rPZ7HMnGl5+MMfVJ98fSh36gAAC3RJREFU0panTs0+Xcfll1uab7xR/jGiEKgVqF12UT3ppLL+Xha//71d4Vmzci3IBQuyTXPTJnugP/e5Lbe1tqoecYTl47jjrLX62msdt+g3bbK8/+lPqpdcYhWfiLXUv/pVq+x6I21tqpdeauey226qN96ounFjcf99/XXVI480a+jZZzvf11UY73lP8aK2fr3qL3+puvPOZgn8+MfF/a8nsnGjWRl9+9r1esc77Lr/+c+qc+Z0XH7a2qzBdMstZgmAVfaFyumZZ5ooV8LK7YznnstZeP/8py3fc0+2aaY54gjVCRO6d4zOhKCM/hfFIyLHAFcBdcCvVPX7edv7A78FJgLLgVNV9eVs8mJzr9x6a/uulVkSYhCKm5Dt4IO33FZXZ4OSrr7afL5ugFVjo/Xxb2iwnhjr1llwLn++nP33t4DruefaFMe9FRH4xjfgHe8wv+tHP2pdI48+2gae7bknbL+9XRNVC77PnWtxiltvNf/5L37RPhhfiLe/3XopffGLdsxTTzV/+2675brarllj72qYNcv8vw88YOv239/SOvDA7K9HVvTrBz/+MVxwgV2vO++0+EyaQYNgyBArgxs32rVdvdq+wQLUP/0pfOpThceOHHww3HCDxQk6G+zWXULGCNats+f6vPOyS0NMKDI4sEgd8BJwFLAIeBo4XVVnpvb5NDBBVT8pIqcB71XVUzs77qRJk3RamcNTb73VHsZ//KPrF5p0F1WrBL7wBXtL1Lx5NjXAW99q60aPtoegsdEq4MZGEyeRXIHvannzZusmumaNdbF87DH47nftuDNndt7Lo6UF/vUv69nyyit2nA0b7GEcMMDeQTt4sOVzr72sIitlRGtvQdUCqLfdZt+d9bMfONACtt/6VtevyEzz7LN2X6ZM6TxIvfPONh3GqafC4YeXPmiuN7BmjQWoX3zRBtytWmWf9etzDZGmJuuJNnGiVe6dNdpefdUCyJs3m8gccoi9OKepyZ6Drhp8qtaxorXVnonW1txn3TqbrHHuXAucP/ccPP205XPvveH//g/OOquSV6cwDzxgjZT77it+xt1CiMh0VS0ol1kKwUHAJap6dPL7KwCqenlqn6nJPv8QkXrgDWC4dpKp7gjBsmVWSLbdNveSdTPycp/8dYX26ejT1pZb3rzZCnjfvjYXz1ZbWfe9L36xsi9oyefII6273/bbZ5dGNbN4Mcyfb2/bchZRUxPsuqt1wUyPzSiV9eutC++CBSa8YOKyww42PmDYsO7nvxZ55RXr3fTEE9mlMXIk/OQncPLJZsGNHGnP+9Zb2zNeV2efPn3a96BLN94KfRezbcUKs9BXrOheY6wzIcjSQbIjsDD1exGQb+j+bx9VbRWRVcBQYFl6JxE5FzgXYOeddy47Q8OGwWWXwb//7Y7b/lPsus4+ffrklvfc06YEcKLzoQ/ZCNyXXoL//tdaHOvXW0t8wwZrkeSLT2fLffpYq6epyd4FsN9+1le/GluSvth2W/tkQWOjDWzbd99sjl+r7LKLWcMLF5r1tWJFzlIuZvBgXV1uqvj0x1nGo0bZy4D69bP9d9jBBH3KFHuWN29u/8l/Xh3564r9BptxNkuL3IOnvPuo6vXA9WAWQXeO9ZWvVCRLZdO/v5mV6RkrI5FI9xAx11o32okl8Za3WFypWshyQNmrwMjU752SdQX3SVxDg7GgcSQSiUQ8kaUQPA2MEZHRItIPOA3In//wLuCjyfIpwCOdxQcikUgkUnkycw0lPv/zgKlY99Ffq+qLInIp1p/1LuD/gJtEZC6wAhOLSCQSiXgk0xiBqk4BpuSt+2ZqeQPw/izzEIlEIpHOqZlJ5yKRSCRSmCgEkUgkUuNEIYhEIpEaJwpBJBKJ1DiZTTGRFSKyFHglg0MPI29Ecy+kt59DzH94evs59Pb8Q3bnsIuqDi+0odcJQVaIyLSO5uHoLfT2c4j5D09vP4fenn8Icw7RNRSJRCI1ThSCSCQSqXGiEOS4PnQGKkBvP4eY//D09nPo7fmHAOcQYwSRSCRS40SLIBKJRGqcKASRSCRS49S8EIjId0TkeRF5VkQeEJEdkvUiIj8TkbnJ9v1D57UQIvJDEZmd5PEOERmS2vaVJP9zROTokPnsDBF5v4i8KCJtIjIpb1tvOYdjkjzOFZGLQ+enGETk1yKyRERmpNZtIyIPish/ku+tQ+axM0RkpIg8KiIzk/Lz+WR9rzgHEWkQkX+JyHNJ/r+drB8tIv9MytIfk2n8s0VVa/oDbJVa/hxwXbI8GbgPEOBtwD9D57WD/L8bqE+WfwD8IFkeBzwH9AdGA/OAutD57eAcxgJ7AH8FJqXW94pzwKZZnwfsCvRL8jwudL6KyPc7gP2BGal1VwAXJ8sXu/LUEz/A9sD+yXIT8FJSZnrFOSR1y6BkuS/wz6SuuRU4LVl/HfCprPNS8xaBqq5O/RwIuOj5icBv1XgKGCIiPe6V8Kr6gKq2Jj+fwt4EB5b/W1R1o6ouAOYCB4TIY1eo6ixVnVNgU285hwOAuao6X1U3Abdgee/RqOrj2HtA0pwI3Jgs3wic5DVTJaCqr6vqM8nyGmAW9h70XnEOSd3SnPzsm3wUOAL4U7LeS/5rXggAROQyEVkIfAhw70vYEViY2m1Rsq4ncxZmxUDvzH8+veUceks+i2FbVX09WX4D2DZkZopFREYB+2Gt6l5zDiJSJyLPAkuABzHLcmWqceelLNWEEIjIQyIyo8DnRABV/ZqqjgRuBs4Lm9st6Sr/yT5fA1qxc+hxFHMOkZ6Fmm+ix/cvF5FBwO3A+XkWfo8/B1XdrKr7Ypb8AcCeIfKR6RvKegqqemSRu96MvVHtW8CrwMjUtp2Sdd7pKv8iciZwPPCupOBDD8o/lHQP0vSoc+iE3pLPYlgsItur6uuJK3RJ6Ax1hoj0xUTgZlX9c7K6V50DgKquFJFHgYMwN3R9YhV4KUs1YRF0hoiMSf08EZidLN8FfCTpPfQ2YFXK3OwxiMgxwJeAE1R1XWrTXcBpItJfREYDY4B/hchjN+gt5/A0MCbp7dEPe/f2XYHzVC53AR9Nlj8K3BkwL50iIoK993yWql6Z2tQrzkFEhrtefiLSCByFxTkeBU5JdvOT/9CR89AfrDUxA3geuBvYUXMR/Wsxn90LpHqz9KQPFkBdCDybfK5Lbftakv85wLGh89rJObwX84VuBBYDU3vhOUzGeq3MA74WOj9F5vkPwOtAS3L9Pw4MBR4G/gM8BGwTOp+d5P8QzO3zfKr8T+4t5wBMAP6d5H8G8M1k/a5Yg2cucBvQP+u8xCkmIpFIpMapeddQJBKJ1DpRCCKRSKTGiUIQiUQiNU4UgkgkEqlxohBEIpFIjROFIBLpABE5SURURIKM9oxEfBGFIBLpmNOBvyXfZZEMSIzPWaRHEwtoJFKAZP6aQ7BBVqd1st8FqXmTzk/WjUreTfBbbKDQyLz/TBSRx0RkuohM7Ymz2kZqiygEkUhhTgTuV9WXgOUiMjF/h2Tdx4ADsXnkzxGR/ZLNY4Cfq+peqvpK6j99gauBU1R1IvBr4LJsTyUS6ZyamHQuEimD04GrkuVbkt/T8/Y5BLhDVdcCiMifgUOxuW5eUXuPRT57AOOBB22qHOqwaR4ikWBEIYhE8hCRbbCXg+wtIopV1ioiF2nxc7Ks7ejwwIuqelAFshqJVIToGopEtuQU4CZV3UVVR6m9q2IB1tpP8wRwkogMEJGB2OR5T3Rx7DnAcBE5CMxVJCJ7VTj/kUhJRCGIRLbkdOCOvHW3k9d7SO01iTdgM0X+E/iVqv67swOrvcryFOAHIvIcNmPm2yuT7UikPOLso5FIJFLjRIsgEolEapwoBJFIJFLjRCGIRCKRGicKQSQSidQ4UQgikUikxolCEIlEIjVOFIJIJBKpcf4/S3Rxr+nzgoIAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, ax = plt.subplots()\n", - "ax.plot(param, np.real(wf_gnd_prob[:,0]), 'b',\n", - " param, np.real(wf_gnd_prob[:,1]), 'r')\n", + "ax.plot(eps0, np.real(f_gnd_prob[:,0]), 'b', \n", + " eps0, np.real(f_gnd_prob[:,1]), 'r')\n", "ax.set_xlabel('A or e')\n", "ax.set_ylabel('Occ. prob.')\n", - "ax.set_title('Floquet states excitation probability');" + "ax.set_title('Floquet modes excitation probability');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "## Floquet modes" + "## Floquet modes time evolution" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -249,12 +245,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "\n", - "def qubit_integrate(delta, eps0, A, omega, psi0, tlist):\n", + "def qubit_integrate(delta, eps0, A, omega, tlist, option=Options()):\n", "\n", " # Hamiltonian\n", " sx = sigmax()\n", @@ -272,7 +268,7 @@ " # find the propagator for one driving period\n", " T = 2*np.pi / omega\n", " \n", - " f_modes_0,f_energies = floquet_modes(H, T, H_args)\n", + " f_modes_0,f_energies = floquet_modes(H, T, H_args, options=option)\n", "\n", " p_ex_0 = np.zeros(shape(tlist))\n", " p_ex_1 = np.zeros(shape(tlist))\n", @@ -285,7 +281,7 @@ " e_0 = np.zeros(shape(tlist))\n", " e_1 = np.zeros(shape(tlist))\n", " \n", - " f_modes_table_t = floquet_modes_table(f_modes_0, f_energies, tlist, H, T, H_args) \n", + " f_modes_table_t = floquet_modes_table(f_modes_0, f_energies, tlist, H, T, H_args, options=option) \n", "\n", " for idx, t in enumerate(tlist):\n", " #f_modes_t = floquet_modes_t(f_modes_0, f_energies, t, H, T, H_args) \n", @@ -294,10 +290,10 @@ " p_ex_0[idx] = expect(sm.dag() * sm, f_modes_t[0])\n", " p_ex_1[idx] = expect(sm.dag() * sm, f_modes_t[1])\n", "\n", - " p_00[idx] = f_modes_t[0].full()[0][0]\n", - " p_01[idx] = f_modes_t[0].full()[1][0]\n", - " p_10[idx] = f_modes_t[1].full()[0][0]\n", - " p_11[idx] = f_modes_t[1].full()[1][0]\n", + " p_00[idx] = f_modes_t[0].full()[0][0] # 0-th element of Floquet mode 0 \n", + " p_01[idx] = f_modes_t[0].full()[1][0] # 1st element of Floquet mode 0 \n", + " p_10[idx] = f_modes_t[1].full()[0][0] # 0-th element of Floquet mode 1\n", + " p_11[idx] = f_modes_t[1].full()[1][0] # 1st element of Floquet mode 1 \n", "\n", " #evals = hamiltonian_t(t, H_args).eigenenergies()\n", " evals = qobj_list_evaluate(H, t, H_args).eigenenergies()\n", @@ -309,14 +305,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "delta = 0.2 * 2 * np.pi # qubit sigma_x coefficient\n", "eps0 = 1.0 * 2 * np.pi # qubit sigma_z coefficient\n", "A = 2.5 * 2 * np.pi # sweep rate\n", - "psi0 = basis(2,0) # initial state\n", "omega = 1.0 * 2 * np.pi # driving frequency\n", "T = (2*np.pi)/omega # driving period\n", "\n", @@ -325,20 +320,41 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dynamics: time elapsed = 0.19188308715820312\n" + ] + } + ], "source": [ "start_time = time.time()\n", - "p_ex_0, p_ex_1, e_0, e_1, f_e, p_00, p_01, p_10, p_11 = qubit_integrate(delta, eps0, A, omega, psi0, tlist)\n", + "p_ex_0, p_ex_1, e_0, e_1, f_e, p_00, p_01, p_10, p_11 = qubit_integrate(delta, eps0, A, omega, tlist)\n", "print('dynamics: time elapsed = ' + str(time.time() - start_time))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, axes = plt.subplots(3, 1, figsize=[8,12])\n", "\n", @@ -402,7 +431,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, "outputs": [], "source": [ @@ -420,11 +449,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ - "def qubit_integrate(delta, eps0, A, omega, psi0, tlist, T, option):\n", + "def qubit_integrate(delta, eps0, A, omega, psi0, tlist, T, option, option_integrator=Options()):\n", "\n", " # Hamiltonian\n", " sx = sigmax()\n", @@ -442,7 +471,7 @@ " if option == \"floquet\":\n", "\n", " # find the floquet modes for the time-dependent hamiltonian \n", - " f_modes_0,f_energies = floquet_modes(H, T, H_args)\n", + " f_modes_0,f_energies = floquet_modes(H, T, H_args, options=option_integrator)\n", "\n", " # decompose the inital state in the floquet modes (=floquet states at t=0)\n", " f_coeff = floquet_state_decomposition(f_modes_0, f_energies, psi0)\n", @@ -450,14 +479,15 @@ " \n", " # only evaluate the wavefunction at multiples of the driving period\n", " # i.e. a \"stroboscopic\" evolution\n", - " N = max(tlist)/T\n", + " N = int(max(tlist)/T)\n", " p_ex = np.zeros(N) \n", " tlist = []\n", " \n", " # calculate the wavefunctions at times t=nT, for integer n, by using \n", " # the floquet modes and quasienergies\n", " for n in np.arange(N): \n", - " psi_t = floquet_wavefunction_t(f_modes_0, f_energies, f_coeff, n*T, H, T, H_args) \n", + " psi_t = Qobj(floquet_wavefunction_t(f_modes_0, f_energies, f_coeff, n*T, H, T,\n", + " H_args, options=option_integrator)) \n", " p_ex[n] = expect(sm.dag() * sm, psi_t)\n", " tlist.append(n*T) \n", " \n", @@ -466,7 +496,7 @@ " # for reference: evolve and calculate expectation using the full ode solver\n", " #H_args = (H0, H1, omega)\n", " #expt_list = mesolve(hamiltonian_t, psi0, tlist, [], [sm.dag() * sm], H_args)\n", - " output = mesolve(H, psi0, tlist, [], [sm.dag() * sm], H_args)\n", + " output = sesolve(H, psi0, tlist, [sm.dag() * sm], H_args, options=option_integrator)\n", " p_ex = output.expect[0]\n", " \n", " return tlist, p_ex" @@ -474,7 +504,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ @@ -485,36 +515,66 @@ "omega = 1.0 * 2 * np.pi # driving frequency\n", "\n", "T = (2*np.pi)/omega # driving period\n", - "tlist = np.linspace(0.0, 25 * T, 500)" + "tlist = np.linspace(0.0, 25 * T, 500)\n", + "option_integrator = Options(nsteps=1e17, atol=1.e-14, rtol=1.e-14, method='bdf', order=5)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dynamics: time elapsed = 0.24439406394958496\n" + ] + } + ], "source": [ "start_time = time.time()\n", - "tlist1, p_ex = qubit_integrate(delta, eps0, A, omega, psi0, tlist, T, \"dynamics\")\n", + "tlist1, p_ex = qubit_integrate(delta, eps0, A, omega, psi0, tlist, T, \"dynamics\", option_integrator)\n", "print('dynamics: time elapsed = ' + str(time.time() - start_time))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "floquet: time elapsed = 0.032913923263549805\n" + ] + } + ], "source": [ "start_time = time.time()\n", - "tlist2, f_ex = qubit_integrate(delta, eps0, A, omega, psi0, tlist, T, \"floquet\")\n", + "tlist2, f_ex = qubit_integrate(delta, eps0, A, omega, psi0, tlist, T, \"floquet\", option_integrator)\n", "print('floquet: time elapsed = ' + str(time.time() - start_time))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, ax = plt.subplots(figsize=[12, 6])\n", "ax.plot(tlist1, np.real(p_ex), 'b')\n", @@ -532,22 +592,29 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Floquet-Markov master equation: comparison with other solvers" + "## Floquet-Markov master equation: comparison with other solvers\n", + "\n", + "Notice that the Lindblad and Floquet-Markov master equation should perfectly agree when:\n", + "\n", + "1) The drive is off and the dissipation on: A=0 and gamma$\\neq$0\n", + "\n", + "2) The drive is on and the dissipation off: A$\\neq$0 and gamma=0" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, "outputs": [], "source": [ - "gamma1 = 0.0015 # relaxation rate\n", - "gamma2 = 0.0 # dephasing rate\n", + "gamma = 0.015 # relaxation rate\n", "\n", "def J_cb(omega):\n", " \"\"\" Noise spectral density \"\"\"\n", - " #print \"evaluate J_cb for omega =\", omega\n", - " return 0.5 * gamma1 * omega/(2*np.pi)\n", + " if omega>0:\n", + " return 0.5 * gamma /(2*np.pi)\n", + " else:\n", + " return 0\n", " \n", "def H1_coeff_t(t, args):\n", " return np.sin(args['w'] * t)" @@ -555,11 +622,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ - "def qubit_integrate(delta, eps0, A, w, gamma1, gamma2, psi0, tlist):\n", + "def qubit_integrate(delta, eps0, A, w, gamma, psi0, tlist, option=Options()):\n", "\n", " # Hamiltonian\n", " sx = sigmax()\n", @@ -572,27 +639,45 @@ " args = {'w': w}\n", " H = [H0, [H1, 'sin(w * t)']]\n", "\n", - "\n", + " # Build collapse operators for mesolve\n", + " c_op_fmmesolve = sx\n", + " \n", + " eigenE, eigenS = H0.eigenstates()\n", + " op0 = eigenS[0]*eigenS[0].dag()\n", + " op1 = eigenS[1]*eigenS[1].dag()\n", + " \n", + " c_op_mesolve = []\n", + " rate = np.zeros([2, 2], dtype=complex)\n", + " for i in range(2):\n", + " for j in range(2):\n", + " if i != j:\n", + " rate[i][j] = 2*np.pi*c_op_fmmesolve.matrix_element(\n", + " eigenS[j], eigenS[i])*c_op_fmmesolve.matrix_element(\n", + " eigenS[i], eigenS[j])*J_cb(eigenE[j]-eigenE[i])\n", + "\n", + " for i in range(2):\n", + " for j in range(2):\n", + " c_op_mesolve.append(np.sqrt(rate[i][j])*(eigenS[i]*eigenS[j].dag()))\n", + " \n", " # --------------------------------------------------------------------------\n", " # 1) time-dependent hamiltonian\n", " # \n", " # \n", - " c_op_list = [np.sqrt(gamma1) * sx, np.sqrt(gamma2) * sz]\n", - "\n", + " e_ops = [sm.dag() * sm, sx, sz]\n", + " \n", " start_time = time.time()\n", - " output = mesolve(H, psi0, tlist, c_op_list, [sm.dag() * sm], args=args) \n", - " expt_list1 = output.expect\n", + " output = mesolve(H, psi0, tlist, c_op_mesolve, e_ops, args=args, options=option) \n", + " expt_mesolve1 = [output.expect[k] for k in range(3)]\n", " print('Method 1: time elapsed = ' + str(time.time() - start_time))\n", "\n", " # --------------------------------------------------------------------------\n", " # 2) Constant hamiltonian\n", " #\n", " H_rwa = - delta/2.0 * sx - A * sx / 2\n", - " c_op_list = [np.sqrt(gamma1) * sx, np.sqrt(gamma2) * sz]\n", " \n", " start_time = time.time()\n", - " output = mesolve(H_rwa, psi0, tlist, c_op_list, [sm.dag() * sm]) \n", - " expt_list2 = output.expect\n", + " output = mesolve(H_rwa, psi0, tlist, c_op_mesolve, e_ops, options=option) \n", + " expt_mesolve2 = [output.expect[k] for k in range(3)]\n", " print('Method 2: time elapsed = ' + str(time.time() - start_time))\n", "\n", "\n", @@ -604,7 +689,7 @@ " start_time = time.time()\n", " \n", " T = 2*np.pi / w \n", - " f_modes_0,f_energies = floquet_modes(H, T, args) \n", + " f_modes_0, f_energies = floquet_modes(H, T, args, options=option) \n", " \n", " # decompose the initial state vector in terms of the floquet modes (basis\n", " # transformation). used to calculate psi_t below.\n", @@ -614,49 +699,68 @@ " # 4) Floquet markov master equation dynamics\n", " # \n", " kmax = 1\n", - " temp = 25e-3\n", + " temp = 0\n", " w_th = temp * (1.38e-23 / 6.626e-34) * 2 * np.pi * 1e-9 \n", " \n", - " f_modes_table_t = floquet_modes_table(f_modes_0, f_energies, np.linspace(0, T, 500+1), H, T, args) \n", + " f_modes_table_t = floquet_modes_table(f_modes_0, f_energies, np.linspace(0, T, 500+1),\n", + " H, T, args, options=option) \n", " \n", " # calculate the rate-matrices for the floquet-markov master equation\n", - " Delta, X, Gamma, Amat = floquet_master_equation_rates(f_modes_0, f_energies, sx, \n", + " Delta, X, Gamma, Amat = floquet_master_equation_rates(f_modes_0, f_energies, c_op_fmmesolve, \n", " H, T, args, J_cb, w_th, kmax, f_modes_table_t)\n", " \n", " # the floquet-markov master equation tensor\n", " R = floquet_master_equation_tensor(Amat, f_energies)\n", " \n", - " rho_list = floquet_markov_mesolve(R, f_modes_0, psi0, tlist, []).states\n", - "\n", - " expt_list3 = np.zeros(shape(expt_list2), dtype=complex)\n", - " expt_list4 = np.zeros(shape(expt_list2), dtype=complex)\n", - " for idx, t in enumerate(tlist): \n", + " rho_list = floquet_markov_mesolve(R, f_modes_0, psi0, tlist, [], f_energies=f_energies).states\n", " \n", + " expt_unitary = np.zeros(shape(expt_mesolve2), dtype=complex)\n", + " expt_fm_me = np.zeros(shape(expt_mesolve2), dtype=complex)\n", + " for idx, t in enumerate(tlist): \n", + " \n", " # unitary floquet evolution\n", - " psi_t = floquet_wavefunction_t(f_modes_0, f_energies, f_coeff, t, H, T, args) \n", - " expt_list3[0][idx] = expect(sm.dag() * sm, psi_t) \n", + " psi_t = Qobj(floquet_wavefunction_t(f_modes_0, f_energies, f_coeff, t, H, T, args)) \n", " \n", " # the rho_list returned by the floquet master equation is defined in the\n", " # floquet basis, so to transform it back to the computational basis\n", " # before we calculate expectation values.\n", - " #f_modes_t = floquet_modes_t(f_modes_0, f_energies, t, H, T, args)\n", " f_modes_t = floquet_modes_t_lookup(f_modes_table_t, t, T) \n", - " expt_list4[0][idx] = expect((sm.dag() * sm), rho_list[idx].transform(f_modes_t, True)) \n", - " \n", + " f_states_t = floquet_states(f_modes_t, f_energies, t)\n", + " \n", + " for k in range(3): \n", + " expt_unitary[k][idx] = expect(e_ops[k], psi_t) \n", + " expt_fm_me[k][idx] = expect((e_ops[k]), rho_list[idx].transform(f_states_t, True)) \n", + "\n", " print('Method 3+4: time elapsed = ' + str(time.time() - start_time))\n", "\n", + " # --------------------------------------------------------------------------\n", + " # 5) Floquet markov master equation dynamics with fmmesolve\n", + " # \n", + " start_time = time.time()\n", + " output = fmmesolve(H, psi0, tlist, [c_op_fmmesolve], e_ops, [J_cb], T, args,floquet_basis=True)\n", + " expt_fmmesolve = [output.expect[k] for k in range(3)]\n", + " print('Method 5: time elapsed = ' + str(time.time() - start_time))\n", + " \n", + " # --------------------------------------------------------------------------\n", + " # 6) Steady state\n", + " # \n", " # calculate the steadystate density matrix according to the floquet-markov\n", " # master equation\n", + " start_time = time.time()\n", + " \n", " rho_ss_fb = floquet_master_equation_steadystate(H0, Amat) # in floquet basis\n", - " rho_ss_cb = rho_ss_fb.transform(f_modes_0, True) # in computational basis\n", - " expt_list5 = np.ones(np.shape(expt_list2), dtype=complex) * expect(sm.dag() * sm, rho_ss_cb)\n", + " rho_ss_cb = rho_ss_fb.transform(f_modes_0, True) # in computational basis\n", + " expt_ss = np.zeros(shape(expt_mesolve2), dtype=complex)\n", + " for k in range(3):\n", + " expt_ss[k] = np.ones(np.shape(expt_mesolve2[k]), dtype=complex) * expect(e_ops[k], rho_ss_cb)\n", + " print('Method 6: time elapsed = ' + str(time.time() - start_time))\n", " \n", - " return expt_list1[0], expt_list2[0], expt_list3[0], expt_list4[0], expt_list5[0]" + " return expt_mesolve1, expt_mesolve2, expt_unitary, expt_fm_me, expt_fmmesolve, expt_ss" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ @@ -671,27 +775,59 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Method 1: time elapsed = 0.06453084945678711\n", + "Method 2: time elapsed = 0.030305147171020508\n", + "Method 3+4: time elapsed = 4.2234461307525635\n", + "Method 5: time elapsed = 2.269620180130005\n", + "Method 6: time elapsed = 0.004854917526245117\n" + ] + } + ], "source": [ - "p_ex1, p_ex2, p_ex3, p_ex4, p_ex5 = qubit_integrate(delta, eps0, A, w, gamma1, gamma2, psi0, tlist)" + "options = Options(nsteps=1e17, atol=1.e-8, rtol=1.e-8, method='bdf', order=5)\n", + "p_ex1, p_ex2, p_ex3, p_ex4, p_ex5, p_ex6 = qubit_integrate(delta, eps0, A, w, gamma, psi0, tlist, option=options)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "fig, ax = plt.subplots()\n", - "ax.plot(tlist, np.real(p_ex1), 'b', tlist, np.real(p_ex2), 'g-') # lindblad\n", - "ax.plot(tlist, np.real(p_ex3), 'r', tlist, np.real(p_ex4), 'm-', tlist, np.real(p_ex5), 'c-') # floquet markov\n", - "ax.set_xlabel('Time')\n", - "ax.set_ylabel('Occupation probability')\n", - "ax.set_title('Comparison between time-dependent master equations')\n", - "ax.legend((\"TD Hamiltonian, Std ME\", \"RWA Hamiltonian, Std ME\", \n", - " \"Unitary Floquet evol.\", \"Floquet-Markov ME\", \"F-M ME steady state\"));" + "fig, ax = plt.subplots(3,1,figsize=(15,15))\n", + "\n", + "label_y = ['Occupation probability','Expectation value for sx','Expectation value for sz']\n", + "for k in range(3):\n", + " ax[k].plot(tlist, np.real(p_ex1[k]), 'r', tlist, np.real(p_ex2[k]), 'b-') # Lindblad ME\n", + " ax[k].plot(tlist, np.real(p_ex3[k]), 'k', tlist, np.real(p_ex4[k]), 'C0-')# Floquet-Markov\n", + " ax[k].plot(tlist, np.real(p_ex5[k]), 'C1--',tlist, np.real(p_ex6[k]), 'g-')\n", + "\n", + " ax[k].set_xlabel('Time')\n", + " ax[k].set_ylabel(label_y[k])\n", + " ax[k].set_title('Comparison between time-dependent master equations')\n", + " ax[k].legend((\"TD Hamiltonian, Std ME\", \"RWA Hamiltonian, Std ME\", \n", + " \"Unitary Floquet evol.\", \"Floquet-Markov ME\", \n", + " \"FMMESOLVE\", \"F-M ME steady state\"));" ] }, { @@ -703,7 +839,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -722,7 +858,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, "outputs": [], "source": [ @@ -805,7 +941,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -821,9 +957,60 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "X[ -1 ] =\n", + " [[-9.03801955e-07-0.19524686j 2.02821511e-01+0.31089132j]\n", + " [-1.22745970e-03+0.00188092j 9.03801954e-07+0.19524686j]]\n", + "X[ 0 ] =\n", + " [[-0.48721741-4.51028104e-19j 0.26340704-1.71842366e-01j]\n", + " [ 0.26340704+1.71842366e-01j 0.48721741+1.82796486e-18j]]\n", + "X[ 1 ] =\n", + " [[-9.03801955e-07+0.19524686j -1.22745970e-03-0.00188092j]\n", + " [ 2.02821511e-01-0.31089132j 9.03801954e-07-0.19524686j]]\n", + "Delta[ -1 ] =\n", + " [[ -6.28318531 -11.94580954]\n", + " [ -0.62056108 -6.28318531]]\n", + "Delta[ 0 ] =\n", + " [[ 0. -5.66262423]\n", + " [ 5.66262423 0. ]]\n", + "Delta[ 1 ] =\n", + " [[ 6.28318531 0.62056108]\n", + " [11.94580954 6.28318531]]\n", + "Gamma[ -1 ] =\n", + " [[-0. -0.]\n", + " [-0. -0.]]\n", + "Gamma[ 0 ] =\n", + " [[ 0. -0. ]\n", + " [ 3.51925944 0. ]]\n", + "Gamma[ 1 ] =\n", + " [[1.50497000e+00 1.96690829e-05]\n", + " [1.03422039e+01 1.50497000e+00]]\n", + "A =\n", + " [[ 2.02170555 1.03320708]\n", + " [14.89465076 2.02170555]]\n", + "Floquet-Markov master equation tensor\n", + "R =\n", + " Quantum object: dims = [[2, 2], [2, 2]], shape = (4, 4), type = oper, isherm = False\n", + "Qobj data =\n", + "[[ -1.03320708 0. 0. 14.89465076]\n", + " [ 0. -9.98563447 0. 0. ]\n", + " [ 0. 0. -9.98563447 0. ]\n", + " [ 1.03320708 0. 0. -14.89465076]]\n", + "Floquet-Markov master equation steady state =\n", + " Quantum object: dims = [[2], [2]], shape = (2, 2), type = oper, isherm = True\n", + "Qobj data =\n", + "[[ 0.06818126+0.j -0.03313332+0.04199644j]\n", + " [-0.03313332-0.04199644j 0.93181874+0.j ]]\n", + "dynamics: time elapsed = 0.2509341239929199\n" + ] + } + ], "source": [ "start_time = time.time()\n", "p_ex_0, p_ex_1, e_0, e_1, f_e = qubit_integrate(delta, eps0, A, omega, psi0, tlist)\n", @@ -832,9 +1019,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, axes = plt.subplots(2, 1, figsize=[8,10])\n", "\n", @@ -852,6 +1052,174 @@ "axes[1].legend((\"Ground state\", \"Excited state\", \"Quasienergy 1\", \"Quasienergy 2\"));" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Floquet rates\n", + "\n", + "The Floquet states and quasi-energies for a driven two-level system in the RWA can be calculated analytically for the Hamiltonian:\n", + "\n", + "$H=\\frac{\\omega_q}{2}\\sigma_z+A(e^{-i\\omega_dt}\\sigma_++e^{i\\omega_dt}\\sigma_-).$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "def TLS_rates(wq, wd, tlist, gamma, params):\n", + " \"\"\"\n", + " Compare rate transition and frequency transitions to analytical\n", + " results for a driven two-level system, for different drive amplitudes.\n", + " \"\"\"\n", + "\n", + " sz = sigmaz()\n", + " sx = sigmax()\n", + " sp = sigmap()\n", + " sm = sigmam()\n", + " \n", + " delta = wq - wd # Detuning\n", + " T = 2 * np.pi / wd\n", + " \n", + " H0 = wq/2 * sz\n", + " arg = {'wd': wd}\n", + " c_ops = sx\n", + " \n", + " # Analytical values of the quasi-energies\n", + " array_ana_Em = [-np.sqrt((delta/2)**2 + a**2) for a in params] # Energy of minus state |->\n", + " array_ana_Ep = [np.sqrt((delta/2)**2 + a**2) for a in params] # Energy of plus state |+>\n", + " array_ana_delta = [2*np.sqrt((delta/2)**2 + a**2) for a in params]\n", + "\n", + " X_ana = {'Xpp_p1': [],'Xpp_m1': [],'Xmm_p1': [],'Xmm_m1': [],\n", + " 'Xpm_p1': [],'Xpm_m1': []}\n", + " X_num = {}\n", + " \n", + " def J_cb(omega):\n", + " if omega > 0:\n", + " return 0.5 * gamma * omega/(2*np.pi)\n", + " else:\n", + " return 0\n", + "\n", + " idx = 0\n", + " for a in params:\n", + " # Hamiltonian\n", + " H1_p = Qobj(a * sp)\n", + " H1_m = Qobj(a * sm)\n", + " H = [H0, [H1_p, lambda t, args: np.exp(-1j * arg['wd'] * t)],\n", + " [H1_m, lambda t, args: np.exp(1j * arg['wd'] * t)]]\n", + "\n", + " # Floquet modes\n", + " fmodes0, fenergies = floquet_modes(H, T, args={}, sort=True)\n", + " f_modes_table_t = floquet_modes_table(fmodes0, fenergies,\n", + " tlist, H, T,\n", + " args={})\n", + " # Get X delta\n", + " DeltaMatrix, X, frates, Amat = floquet_master_equation_rates(\n", + " fmodes0, fenergies, c_ops, H, T,\n", + " {}, J_cb, 0, 2)\n", + "\n", + " # Numerical Matrix elements\n", + " Xs = np.ndarray.flatten(X)\n", + " X_num['A'+str(round(a/(2*np.pi),3))] = Xs \n", + " \n", + " # analytical Matrix elements\n", + " normPlus = np.sqrt(a**2 + (array_ana_Ep[idx] - delta/2)**2)\n", + " normMinus = np.sqrt(a**2 + (array_ana_Em[idx] - delta/2)**2)\n", + "\n", + " X_ana['Xpp_p1'].append((a/normPlus**2)*(array_ana_Ep[idx]-delta/2)) # Matrix element between states |+>, |+> and k=+1 \n", + " X_ana['Xpp_m1'].append((a/normPlus**2)*(array_ana_Ep[idx]-delta/2)) # Matrix element between states |+>, |+> and k=-1\n", + " X_ana['Xmm_p1'].append((a/normMinus**2)*(array_ana_Em[idx]-delta/2)) # Matrix element between states |->, |-> and k=+1\n", + " X_ana['Xmm_m1'].append((a/normMinus**2)*(array_ana_Em[idx]-delta/2)) # Matrix element between states |->, |-> and k=-1\n", + " X_ana['Xpm_p1'].append((a/(normMinus*normPlus))*(array_ana_Em[idx]-delta/2)) # Matrix element between states |+>, |-> and k=+1\n", + " X_ana['Xpm_m1'].append((a/(normMinus*normPlus))*(array_ana_Ep[idx]-delta/2)) # Matrix element between states |+>, |-> and k=-1\n", + " \n", + " idx += 1\n", + " \n", + " return X_ana, X_num" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "# Parameters\n", + "wq = 5.4 * 2 * np.pi # Qubit frequency\n", + "wd = 6.7 * 2 * np.pi # Drive frequency\n", + "gamma = 0.15 # Relaxation rate\n", + "tlist = np.linspace(0.0, 2 * T, 101) # Time list\n", + "\n", + "param_A = np.linspace(0.001, 3 * 2 * np.pi, 10, endpoint=False)\n", + "\n", + "X_ana, X_num = TLS_rates(wq, wd, tlist, gamma, param_A)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that all matrix elements for $k\\neq\\pm 1$ are zero. " + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/anaconda3/envs/qutip-env/lib/python3.7/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": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots()\n", + "\n", + "for a in param_A:\n", + " if a==param_A[0]:\n", + " ax.plot([a/(2*np.pi) for i in range(20)], X_num['A'+str(round(a/(2*np.pi),3))], 'kx', label='Numerics')\n", + " else:\n", + " ax.plot([a/(2*np.pi) for i in range(20)], X_num['A'+str(round(a/(2*np.pi),3))], 'kx')\n", + "\n", + "idx = 0\n", + "for a in X_ana:\n", + " ax.plot(param_A/(2*np.pi), X_ana[a], 'C'+str(idx)+'.',label= a)\n", + " idx +=1\n", + "\n", + "ax.set_ylabel('Matrix elements')\n", + "ax.set_xlabel(' Drive amplitude A')\n", + "ax.set_title(' Analytical and numerical Xs')\n", + "ax.legend(loc='upper right')" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -861,7 +1229,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, "outputs": [], "source": [ @@ -883,7 +1251,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 37, "metadata": {}, "outputs": [], "source": [ @@ -937,7 +1305,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 38, "metadata": {}, "outputs": [], "source": [ @@ -957,9 +1325,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "dynamics: time elapsed = 6.92350172996521\n" + ] + } + ], "source": [ "start_time = time.time()\n", "q_energies, f_gnd_prob, wf_gnd_prob, ss_prob1, ss_prob2 = qubit_integrate(delta, eps0, A, omega, \n", @@ -969,9 +1345,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 40, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Floquet quasienergies')" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(param, np.real(q_energies[:,0]) / delta, 'b',\n", @@ -983,9 +1382,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Floquet modes excitation probability')" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(param, np.real(f_gnd_prob[:,0]), 'b',\n", @@ -997,9 +1419,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Floquet states excitation probability')" + ] + }, + "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": [ "fig, ax = plt.subplots()\n", "ax.plot(param, np.real(wf_gnd_prob[:,0]), 'b',\n", @@ -1011,9 +1456,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 43, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Steady state excitation probability')" + ] + }, + "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": [ "fig, ax = plt.subplots()\n", "ax.plot(param, np.real(ss_prob1), 'r')\n", @@ -1032,14 +1500,36 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 44, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
SoftwareVersion
QuTiP4.4.0.dev0+8125c546
Numpy1.16.4
SciPy1.3.0
matplotlib3.1.1
Cython0.29.12
Number of CPUs2
BLAS InfoOPENBLAS
IPython7.9.0
Python3.7.5 (default, Oct 25 2019, 10:52:18) \n", + "[Clang 4.0.1 (tags/RELEASE_401/final)]
OSposix [darwin]
Thu Dec 03 23:47:20 2020 CET
" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from qutip.ipynbtools import version_table\n", "\n", "version_table()" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { @@ -1058,9 +1548,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.1" + "version": "3.7.5" } }, "nbformat": 4, - "nbformat_minor": 1 + "nbformat_minor": 4 }