{ "cells": [ { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import numpy.fft as fft\n", "import matplotlib.pyplot as plt\n", "from lmfit import Model, Parameters\n", "from lmfit.models import ConstantModel\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "def cross_g2_off_reso(t, offset, A, B, bckg, peak):\n", " t_set = t - offset\n", " result = np.zeros(len(t_set))\n", " \n", " i = 0\n", " for tau in t_set:\n", " if tau < 0:\n", " result[i] = bckg*(1 + (peak*np.exp(tau/A)))\n", " else:\n", " result[i] = bckg*(1 + (peak*np.exp(-tau/B)))\n", " i = i+1\n", " \n", " return result\n", "\n", "def fit_cross_g2_off_reso(t_in, coin, coin_err):\n", " mod = Model(cross_g2_off_reso)\n", " gmod = mod\n", " \n", " #set parameter and make init guess\n", " p = Parameters()\n", " p.add('offset', 500)\n", " p.add('A', 5)\n", " p.add('B', 50)\n", " p.add('bckg', 17)\n", " p.add('peak', 7)\n", " \n", " return gmod.fit(coin,t=t_in ,params=p, weights = 1/(coin_err))\n", "\n", "def g2_off_reso(t_array, gamma, rabi, detuning, offset, bckg):\n", " t_set = (t_array - offset)*1e-9\n", " \n", " ### necessary matrices\n", " mat_M = 2*np.pi*np.array([[-.5*gamma,-detuning,0],[detuning,-.5*gamma,rabi],[0,-rabi,-gamma]])\n", " vec_u = 2*np.pi*np.array([0,0,gamma])\n", " mat_Minv = np.linalg.inv(mat_M)\n", " \n", " ### steady-state solution, which is only true if all Real parts of the eigenvalues \n", " vec_Rss = -np.matmul(mat_Minv,vec_u)\n", " \n", " # initial Bloch vector\n", " vec_r0 = np.array([0,0,1])\n", " vec_r0p = vec_r0 - vec_Rss\n", " \n", " w, mat_v = np.linalg.eig(mat_M)\n", " # check the convergence with the real parts\n", " if (np.real(w)>=0).any():\n", " print('Divergent!')\n", " return 0\n", " coeff_v = np.linalg.solve(mat_v, vec_r0p)\n", " coeff_vt = np.transpose([coeff_v])*np.exp (np.transpose([w])*np.abs(t_set))\n", " zt = np.real(np.matmul(mat_v,coeff_vt)+np.transpose([vec_Rss]))[2,:] #z-coordinate of the Bloch vector at time t\n", " \n", " return bckg*(1-zt)/(1-vec_Rss[2])\n", "\n", "def fit_g2_off_reso(t_in, coin, coin_err):\n", " mod = Model(g2_off_reso)\n", " gmod = mod\n", " \n", " #set parameter and make init guess\n", " p = Parameters()\n", " p.add('gamma', 6.06e6, vary = 0)\n", " p.add('rabi', 30e6)\n", " p.add('detuning', 30e6)\n", " p.add('offset', 480)\n", " p.add('bckg', 70)\n", " \n", " return gmod.fit(coin,t_array=t_in ,params=p, weights = 1/(coin_err))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "data = np.genfromtxt('off_reso_g2.dat')\n", "t_data = data[:,0]\n", "coin = data[:,3]\n", "coin_err = np.sqrt(data[:,3])\n", "\n", "fit_result = fit_cross_g2_off_reso(t_data,coin,coin_err)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Model]]\n", " Model(cross_g2_off_reso)\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 62\n", " # data points = 430\n", " # variables = 5\n", " chi-square = 465.019030\n", " reduced chi-square = 1.09416242\n", " Akaike info crit = 43.6660420\n", " Bayesian info crit = 63.9849680\n", "[[Variables]]\n", " offset: 475.561378 +/- 0.76188109 (0.16%) (init = 500)\n", " A: 7.81234820 +/- 0.85861615 (10.99%) (init = 5)\n", " B: 30.4176416 +/- 1.57844371 (5.19%) (init = 50)\n", " bckg: 13.2555062 +/- 0.20534696 (1.55%) (init = 17)\n", " peak: 6.73747884 +/- 0.31686677 (4.70%) (init = 7)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(offset, A) = 0.710\n", " C(B, peak) = -0.522\n", " C(A, peak) = -0.341\n", " C(offset, B) = -0.279\n", " C(bckg, peak) = -0.262\n", " C(B, bckg) = -0.253\n", " C(A, bckg) = -0.135\n", " C(offset, peak) = -0.108\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(fit_result.fit_report())\n", "plt.rcParams[\"figure.figsize\"] = (12,10)\n", "fit_result.plot()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "data1 = np.genfromtxt('g2_wo_cavity.dat')\n", "t_data = data1[:,0]\n", "coin = data1[:,3]\n", "coin_err = np.sqrt(data1[:,3])\n", "\n", "fit_result = fit_g2_off_reso(t_data,coin,coin_err)" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[Model]]\n", " Model(g2_off_reso)\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 51\n", " # data points = 370\n", " # variables = 4\n", " chi-square = 562.024251\n", " reduced chi-square = 1.53558538\n", " Akaike info crit = 162.675538\n", " Bayesian info crit = 178.329550\n", "[[Variables]]\n", " gamma: 6060000 (fixed)\n", " rabi: 30715536.9 +/- 1083198.09 (3.53%) (init = 3e+07)\n", " detuning: 28803633.0 +/- 1131263.58 (3.93%) (init = 3e+07)\n", " offset: 480.940841 +/- 0.12840868 (0.03%) (init = 480)\n", " bckg: 72.2504294 +/- 0.56242333 (0.78%) (init = 70)\n", "[[Correlations]] (unreported correlations are < 0.100)\n", " C(rabi, detuning) = -0.974\n", " C(detuning, bckg) = -0.301\n", " C(rabi, bckg) = 0.300\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(fit_result.fit_report())\n", "plt.rcParams[\"figure.figsize\"] = (12,10)\n", "fit_result.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# export simulation result" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "t_list = np.arange(150,1000,0.5)\n", "\n", "result_offset = fit_result.params['offset'].value\n", "result_A = fit_result.params['A'].value\n", "result_B = fit_result.params['B'].value\n", "result_bckg = fit_result.params['bckg'].value\n", "result_peak = fit_result.params['peak'].value\n", "\n", "sim_result = cross_g2_off_reso(t_list, result_offset, result_A, result_B, result_bckg, result_peak)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "out_text = np.c_[(t_list, sim_result)]\n", "file_name = 'off_reso_g2_sim.dat'\n", "np.savetxt(file_name, out_text, delimiter='\\t', fmt='%f', header=\"time\\tg2\")" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(t_list, sim_result)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "t_list = np.arange(150,1000,0.5)\n", "\n", "result_gamma = fit_result.params['gamma'].value\n", "result_rabi = fit_result.params['rabi'].value\n", "result_detuning = fit_result.params['detuning'].value\n", "result_offset = fit_result.params['offset'].value\n", "result_bckg = fit_result.params['bckg'].value\n", "\n", "sim_result = g2_off_reso(t_list, result_gamma, result_rabi, result_detuning, result_offset, result_bckg)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "out_text = np.c_[(t_list, sim_result)]\n", "file_name = 'g2_wo_cavity_sim.dat'\n", "np.savetxt(file_name, out_text, delimiter='\\t', fmt='%f', header=\"time\\tg2\")" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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