{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this example we study pulsed experiments with P1 centers in diamond coupled with NVs. The physical description of the problem is discussed in detail at \n", "- S. Trofimov, C. Thessalonikios, V. Deinhart, A. Spyrantis, L. Tsunaki, K. Volkova, K. Höflich, and B. Naydenov, Local nanoscale probing of electron spins using NV centers in diamond, arXiv:2507.13295." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from lmfit import Model\n", "\n", "from quaccatoo import P1, PMR, Analysis, fit_five_sinc2, Rabi, RabiModel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Double Electron-Electron Resonance (DEER)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the P1 centers have 4 orientations and 6 observables for the 14N isotope, we need to define a QSys and PulsedSim objects for each." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "B0 = (3911 - 1827)/2/28.025\n", "w2 = 3 # RF Rabi frequency in MHz\n", "freqs = np.linspace(900, 1200, 500)\n", "sim_1 = np.empty((6,4), dtype=object)\n", "theta = 0\n", "phi = 0\n", "\n", "for obs_idx in range(6):\n", " for rot_idx in range(4):\n", " qsys = P1(\n", " B0 = B0,\n", " rot_index = rot_idx,\n", " observable = obs_idx,\n", " N = 14,\n", " theta = theta,\n", " phi_r = phi,\n", " theta_1 = 90 + theta,\n", " phi_r_1 = phi\n", " )\n", " \n", " sim_1[obs_idx][rot_idx] = PMR(\n", " frequencies = freqs, # frequencies to scan in MHz\n", " pulse_duration = 1/2/w2, # pulse duration\n", " system = qsys, # P1 system\n", " h1 = w2*qsys.h1, # control Hamiltonian\n", " )\n", "\n", " sim_1[obs_idx][rot_idx].run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The measured signal is composed by all orientations and observables. Thus, we combine all of them by creating another PMR object and inputing the results of the average." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "avg_deer = PMR(\n", " frequencies = freqs,\n", " pulse_duration = 1/2/w2,\n", " system = qsys,\n", " h1 = w2*qsys.h1,\n", " )\n", "\n", "avg_deer.results = np.mean(\n", " [sim_1[obs_idx][rot_idx].results for obs_idx in range(6) for rot_idx in range(4)]\n", ", axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use the Analysis class to visualize the simulation results." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "deer_analysis = Analysis(avg_deer)\n", "\n", "deer_analysis.plot_results(title='DEER P1 Centers')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot these results we can use five sinc functions, as predefined in QuaCCAToo." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_five_sinc2)

Fit Statistics
fitting methodleastsq
# function evals275
# data points500
# variables16
chi-square 0.00381701
reduced chi-square 7.8864e-06
Akaike info crit.-5859.44786
Bayesian info crit.-5792.01413
R-squared 0.99691184
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
A1 0.08259495 0.00125331(1.52%)0.06 -inf infTrue
A2 0.24918992 0.00124870(0.50%)0.25 -inf infTrue
A3 0.29728219 0.00120064(0.40%)0.33 -inf infTrue
A4 0.24927147 0.00124900(0.50%)0.25 -inf infTrue
A5 0.08251850 0.00124944(1.51%)0.08 -inf infTrue
gamma1 2.99872240 0.03558103(1.19%)5.0 -inf infTrue
gamma2 3.00389921 0.01165909(0.39%)5.0 -inf infTrue
gamma3 3.25401776 0.01017408(0.31%)5.0 -inf infTrue
gamma4 2.99995964 0.01162976(0.39%)5.0 -inf infTrue
gamma5 3.00267622 0.03564813(1.19%)5.0 -inf infTrue
f01 931.335682 0.03672380(0.00%)930.0 -inf infTrue
f02 961.108542 0.01218070(0.00%)960.0 -inf infTrue
f03 1050.33187 0.01062463(0.00%)1050.0 -inf infTrue
f04 1132.13928 0.01217570(0.00%)1130.0 -inf infTrue
f05 1159.02851 0.03678481(0.00%)1160.0 -inf infTrue
C 0.99955597 1.4113e-04(0.01%)1.0 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
A1gamma1-0.3773
A5gamma5-0.3723
A2gamma2-0.3706
A4gamma4-0.3697
A3gamma3-0.3668
A3C+0.1597
A1C+0.1571
A4C+0.1515
A2C+0.1508
A5C+0.1427
gamma5C+0.1107
gamma2gamma3+0.1028
gamma3C+0.1028
" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit_guess = {\n", " 'A1': .06,\n", " 'A2': .25,\n", " 'A3': .33,\n", " 'A4': .25,\n", " 'A5': .08,\n", " 'gamma1': 5,\n", " 'gamma2': 5,\n", " 'gamma3': 5,\n", " 'gamma4': 5,\n", " 'gamma5': 5,\n", " 'f01': 930,\n", " 'f02': 960,\n", " 'f03': 1050,\n", " 'f04': 1130,\n", " 'f05': 1160,\n", " 'C': 1,\n", "}\n", "\n", "deer_analysis.run_fit(\n", " fit_model = Model(fit_five_sinc2),\n", " guess = fit_guess\n", ")\n", "\n", "deer_analysis.plot_fit(title='DEER P1 Centers')\n", "deer_analysis.fit_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Rabi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we keep the frequency of the control field constant in one of the resonances and change the duration of the pulse." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "B0 = (3911 - 1827)/2/28.025\n", "w2 = 3 # RF Rabi frequency in MHz\n", "freq = 1050.3\n", "sim_2 = np.empty((6,4), dtype=object)\n", "tp = np.linspace(0.01, 0.5, 200) # length of the RF pulse in us\n", "\n", "for obs_idx in range(6):\n", " for rot_idx in range(4):\n", " qsys = P1(\n", " B0 = B0,\n", " rot_index = rot_idx,\n", " observable = obs_idx,\n", " N = 14\n", " )\n", " \n", " sim_2[obs_idx][rot_idx] = Rabi(\n", " pulse_duration = tp,\n", " system = qsys, # P1 system\n", " h1 = w2*qsys.h1, # control Hamiltonian\n", " pulse_params = {'f_pulse': freq}\n", " )\n", "\n", " sim_2[obs_idx][rot_idx].run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again we combined all simulations for different orientations and observables and plot the data." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "avg_rabi = Rabi(\n", " pulse_duration = tp,\n", " system = qsys, # P1 system\n", " h1 = w2*qsys.h1, # control Hamiltonian\n", " pulse_params = {'f_pulse': freq}\n", " )\n", "\n", "avg_rabi.results = np.mean([sim_2[obs_idx][rot_idx].results for obs_idx in range(6) for rot_idx in range(4)], axis=0)\n", "\n", "rabi_analysis = Analysis(avg_rabi)\n", "rabi_analysis.plot_results(title='Rabi P1 Centers')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To fit the data em use a fit_rabi function." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_rabi)

Fit Statistics
fitting methodleastsq
# function evals36
# data points200
# variables4
chi-square 0.00844873
reduced chi-square 4.3106e-05
Akaike info crit.-2006.41124
Bayesian info crit.-1993.21797
R-squared 0.99577518
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
amp 0.13966010 6.6056e-04(0.47%)0.10781286162874283 -inf infTrue
Tpi 0.16054186 2.9504e-04(0.18%)0.12311557788944726 -inf infTrue
phi 6.08965642 0.01031605(0.17%)4.569589314312426 -inf infTrue
offset 0.84952230 4.8592e-04(0.06%)0.8471011167540768 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Tpiphi+0.8762
ampTpi+0.1796
ampphi+0.1627
phioffset+0.1508
" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rabi_analysis.run_fit(\n", " fit_model = RabiModel()\n", ")\n", "\n", "rabi_analysis.plot_fit(title='Rabi P1 Centers')\n", "rabi_analysis.fit_params" ] } ], "metadata": { "kernelspec": { "display_name": "quaccatoo", "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 2 }