{
"cells": [
{
"cell_type": "markdown",
"id": "f5a06a7d",
"metadata": {},
"source": [
"This tutorials reproduces section III.B from:\n",
"\n",
"- L. Tsunaki, A. Singh, S. Trofimov, & B. Naydenov. (2025). Digital Twin Simulations Toolbox of the Nitrogen-Vacancy Center in Diamond. arXiv:2507.18759 quant-ph. [2507.18759](https://arxiv.org/abs/2507.18759).\n",
"\n",
"The precise detection of weak spins in noisy environments is a central challenge for quantum sensing.\n",
"At the same time, the coherent control of such magnetic momenta via a central spin is of great interest for quantum simulation and computing.\n",
"Although they have different goals, both applications can be achieved by dynamical decoupling of the spins from its noisy environment.\n",
"In the end, the problems is then reduced to precisely modeling the interaction of the central spin (NV's electron) and the external spin (13C nuclei) under multipulse dynamical decoupling sequences.\n",
"Following the discussion of the previous section, we first simulate the coherent dynamics of the NV-13.C system in a Hahn echo sequence, as experimentally studied in:\n",
"\n",
"- [1] L. Childress, M. V. G. Dutt, J. M. Taylor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, Coherent dynamics of coupled electron and nuclear spin qubits in diamond, Science 314, 281 (2006).\n",
"\n",
"Subsequently, we simulate the detection and control of a weakly coupled 13C by a CPMG sequence, as performed in:\n",
"\n",
"- [2] T. H. Taminiau, J. J. T. Wagenaar, T. van der Sar, F. Jelezko, V. V. Dobrovitski, and R. Hanson, Detection and control of individual nuclear spins using a weakly coupled electron spin, Phys. Rev. Lett. 109, 137602 (2012)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "35176461",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from quaccatoo import NV, Rabi, square_pulse, Analysis, RabiModel, Hahn, CPMG, save, load\n",
"from qutip import jmat, tensor, qeye"
]
},
{
"cell_type": "markdown",
"id": "9622c178",
"metadata": {},
"source": [
"# 1. Electron Spin Echo Envelope Modulations"
]
},
{
"cell_type": "markdown",
"id": "42b8ae66",
"metadata": {},
"source": [
"Once more, we begin the simulation instantiating the `NV` class with the experimental parameters:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "aa1eb857",
"metadata": {},
"outputs": [],
"source": [
"sys1 = NV(\n",
"\tB0 = 4.2,\n",
"\tunits_B0 = 'mT',\n",
"\ttheta = -45,\n",
"\tunits_angles = 'deg',\n",
"\tN = 14,\n",
" temp = 300,\n",
" units_temp = 'K'\n",
"\t)"
]
},
{
"cell_type": "markdown",
"id": "5037ff3d",
"metadata": {},
"source": [
"where we use the `theta` argument to represent the misalignment of the magnetic field $\\mathbf{B}_0$ with the NV axis $z$, which by default is 0.\n",
"In this case then, the magnetic field has a small amplitude of 4.2 mT along the $\\mathbf{z}-\\mathbf{x}$ direction.\n",
"In contrast to Tutorial 3, the nitrogen nuclear spin cannot be neglected, as it slightly shifts the energy levels of the electron spin, thus changing its Larmor frequency and affecting the envelope frequencies of the Hahn echo signal.\n",
"For that, we set the parameter `N` to the 14 nitrogen isotope.\n",
"If the system was otherwise composed with a 15N, additional signals from the nitrogen precession would be observed.\n",
"However, the same is not true for 14N, due to the quadrupole interaction that fixes the nuclear spin orientation, suppressing its precession.\n",
"Lastly, for illustration purposes, we set the temperature to 300 K with the `temp` and `units_temp` attributes, which calculates the initial state $\\hat{\\rho}_0$ from the Boltzmann distribution.\n",
"If no input is given for `temp`, as in the other applications, the initial density matrix of the nuclear spin is assumed to be the identity matrix, where for these values of temperature and magnetic field the thermal polarization is minimum.\n",
"\n",
"The coupling Hamiltonian has a hyperfine coupling tensor in units of MHz as\n",
"$$\n",
"\t\\mathbf{A}^c_{hf} =\n",
"\t\\begin{bmatrix}\n",
"\t\t5.0 & -6.3 & -2.9 \\\\\n",
"\t\t-6.3 & 4.2 & -2.3 \\\\\n",
"\t\t-2.9 & -2.3 & 8.2\n",
"\t\\end{bmatrix} ,\n",
"$$\n",
"representing a weaker coupling compared to Tutorial 3, but still prominent.\n",
"The representation of $\\hat{H}_2$ and composition with the NV is achieved with:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "264d5d21",
"metadata": {},
"outputs": [],
"source": [
"alpha = np.array([[5, -6.3, -2.9],\n",
" [-6.3, 4.2, -2.3], \n",
" [-2.9, -2.3, 8.2]])\n",
"\n",
"H2 = (alpha[0, 0]*tensor(jmat(1, 'x'), qeye(3), jmat(1/2, 'x'))\n",
" + alpha[0, 1]*(tensor(jmat(1, 'x'), qeye(3), jmat(1/2, 'y')) + tensor(jmat(1, 'y'), qeye(3), jmat(1/2, 'x')))\n",
" + alpha[0, 2]*(tensor(jmat(1, 'x'), qeye(3), jmat(1/2, 'z')) + tensor(jmat(1, 'z'), qeye(3), jmat(1/2, 'x')))\n",
" + alpha[1, 1]*tensor(jmat(1, 'y'), qeye(3), jmat(1/2, 'y'))\n",
" + alpha[1, 2]*(tensor(jmat(1, 'y'), qeye(3), jmat(1/2, 'z')) + tensor(jmat(1, 'z'), qeye(3), jmat(1/2, 'y')))\n",
" + alpha[2, 2]*tensor(jmat(1, 'z'), qeye(3), jmat(1/2, 'z'))\n",
" - 10.705e-3*sys1.B0*tensor(qeye(3), qeye(3), np.cos(sys1.theta)*jmat(1/2, 'z') + np.sin(sys1.theta)*jmat(1/2, 'x')) )\n",
"\n",
"sys1.add_spin(H2)"
]
},
{
"cell_type": "markdown",
"id": "d5e15e13",
"metadata": {},
"source": [
"Lastly, the Rabi frequency `w1` and the the frequency of the MW pulse excitations `w0` are defined as follows:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "19c7a200",
"metadata": {},
"outputs": [],
"source": [
"w1 = 15\n",
"w0 = np.sum(sys1.energy_levels[12:])/6 - np.sum(sys1.energy_levels[1:6])/6"
]
},
{
"cell_type": "markdown",
"id": "00c8dc1c",
"metadata": {},
"source": [
"Here, the frequency of the MW pulse is calculated by subtracting the average of all six nuclear sublevels at $m_S=+1$ from the ones in $m_S=0$.\n",
"This way, with a short hard MW pulse, the $\\ket{m_S=0} \\leftrightarrow \\ket{m_S=+1}$ transition is obtained, unconditional to the nuclear states, as opposed to Tutorial 3.\n",
"To simulate and fit a Rabi experiment, we use:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e01c49e3",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
Fit Result
Model: Model(fit_rabi)
Fit Statistics
fitting method
leastsq
# function evals
31
# data points
1000
# variables
4
chi-square
0.18549649
reduced chi-square
1.8624e-04
Akaike info crit.
-8584.47459
Bayesian info crit.
-8564.84357
R-squared
0.99795307
Parameters
name
value
standard error
relative error
initial value
min
max
vary
amp
0.43347093
6.2333e-04
(0.14%)
0.32039296999027467
-inf
inf
True
Tpi
0.03159355
9.9571e-06
(0.03%)
0.03753753753753754
-inf
inf
True
phi
-0.00398910
0.00281910
(70.67%)
1.1423973285781066
-inf
inf
True
offset
0.54128392
4.3834e-04
(0.08%)
0.5622157246159021
-inf
inf
True
Correlations (unreported values are < 0.100)
Parameter1
Parameter 2
Correlation
Tpi
phi
+0.8672
phi
offset
+0.1107
"
],
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tp = np.linspace(0,0.15,1000)\n",
"\n",
"rabi_sim = Rabi(\n",
"\tsystem = sys1,\n",
"\tpulse_duration = tp,\n",
"\th1 = w1*sys1.MW_h1,\n",
"\tpulse_params = {'f_pulse':w0},\n",
"\tpulse_shape = square_pulse\n",
"\t)\n",
"\n",
"rabi_sim.run()\n",
"rabi_analysis = Analysis(rabi_sim)\n",
"rabi_analysis.run_fit(\n",
" fit_model = RabiModel()\n",
")\n",
"rabi_analysis.plot_fit()\n",
"rabi_analysis.fit_params"
]
},
{
"cell_type": "markdown",
"id": "3f3effc7",
"metadata": {},
"source": [
"This leads to a $\\pi$-pulse duration shorter than $1/(2\\omega_1)$, resulting from a hyperfine enhancement effect.\n",
"\n",
"Given the defined system with the experimental parameters, the simplest dynamical decoupling sequence for suppressing the noise from the environment is the Hahn echo technique.\n",
"The sequence is composed by two free evolutions of duration $\\tau$, with an intermediate $\\pi$-pulse to the electron spin.\n",
"In addition, $\\pi/2$-pulses are included before and after the sequence to drive the electron spin from and to the quantization axis.\n",
"In NMR, the last projective pulse is not required though, as the measurement is performed perpendicular to the quantization axis.\n",
"The intermediate $\\pi$-pulse causes a refocusing of static or slow dephasings, such as those arising from the 14N nuclear spin.\n",
"This allows the coupled 13C nuclear spin to be probed by the NV.\n",
"\n",
"For performing a Hahn echo simulation in the software component, we use the `Hahn` class:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "9b753c97",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tau_hahn = np.linspace(0.04,4,2000)\n",
"\t\n",
"hahn_sim = Hahn(\n",
"\tfree_duration = tau_hahn,\n",
"\tpi_pulse_duration = 0.0316,\n",
"\tsystem = sys1,\n",
"\th1 = w1*sys1.MW_h1, \n",
"\tpulse_params = {'f_pulse':w0},\n",
"\tprojection_pulse = True,\n",
"\ttime_steps = 1000\n",
"\t)\n",
"\n",
"hahn_sim.run()\n",
"Analysis(hahn_sim).plot_results()"
]
},
{
"cell_type": "markdown",
"id": "4e791ef3",
"metadata": {},
"source": [
"with the same arguments as defined previously.\n",
"In addition, `free_duration` is the array containing the $\\tau$ values to be simulated, `MW_h1` is the attribute of the `sys1` object containing the standard MW control Hamiltonian operator $\\hat{h}_1 = \\sqrt{2} \\hat{S_x}$, `pi_pulse_duration` is the duration of the simulated $\\pi$-pulse, `time_steps` is the number of discrete time steps used in the simulation in each pulse, and `projection_pulse` is a Boolean indicating to include a final project $\\pi/2$-pulse or not, which is set to `True` by default and will be omitted from now on.\n",
"It is important to note, however, that the actual pulse separation is the $\\tau$ variable with the duration of the $\\pi$-pulse subtracted.\n",
"In most studies, perfect $\\delta$-pulses are considered and both quantities coincide.\n",
"Finally, the simulation is executed with the `run` method, which takes a dictionary containing the options for the parallelization routines.\n",
"In this case, we include the `num_cpus`c key as an illustration, which limits the use of the hardware cores for the calculation, in order to avoid over-threading.\n",
"If the key in the dictionary parameter is not given, the parallelization will run over all of the hardware cores by default.\n",
"\n",
"The results of the Hahn echo simulation show a characteristic Electron Spin Echo Envelope Modulation (ESEEM).\n",
"The fluorescence observable of the electron spin presents two modulation frequencies.\n",
"The fast one corresponds to the Larmor frequency of the 13C nuclear spin at the $m_S=+1$ level, while the slow one corresponds to the one at $m_S=0$, which is simply given by the gyromagnetic ratio of the nuclear spin $\\gamma^c$ due to the hyperfine coupling being negligible at $m_S=0$.\n",
"By measuring these modulation frequencies at different magnetic field $\\mathbf{B}_0$ configurations, the hyperfine interaction matrix can be experimentally reconstructed for arbitrary spins hyperfinely coupled to a central spin."
]
},
{
"cell_type": "markdown",
"id": "845dd1e9",
"metadata": {},
"source": [
"# 2. Detection and Control 13C Nuclear spin with CPMG Sequence"
]
},
{
"cell_type": "markdown",
"id": "4dfb6b22",
"metadata": {},
"source": [
"The Hahn echo sequence provides a simple mechanism for selective addressing and sensing spins from the environment via the NV center, as demonstrated here.\n",
"Nonetheless, a robust improvement in the noise filtering can be obtained by repeating the $\\pi$-pulse and free evolutions several times, known as the CPMG sequence.\n",
"The periodical reversals of the system's time evolution cancels out oscillating dephasings and environmental noises from the total evolution, expect for frequencies corresponding to double of the pulse separation $f_0=1/(2\\tau)$ and odd multiples of it.\n",
"In such manner, weak oscillating magnetic fields from single nuclear spins can be filtered from much stronger backgrounds, even at room temperature.\n",
"A great improvement compared to superconducting quantum interference device (SQUID) sensing.\n",
"\n",
"For simulating a CPMG sequence of an NV weakly coupled to a lattice 13C, we instantiate the `sys2` object with parameters $B_0=40.1$ mT, $\\theta = 0$ and $N=14$ as in Ref. [2].\n",
"Furthermore the $\\pi$-pulse duration is set to 10 ns, the frequency of the MW pulse `w0` is in resonance with the $\\ket{m_S=0} \\leftrightarrow \\ket{m_S=-1}$ transition and the hyperfine coupling tensor is\n",
"$$\n",
"\t\\mathbf{A}^c_{hf} =\n",
"\t\\begin{bmatrix}\n",
"\t\t0 & 0 & 0.044 \\\\\n",
"\t\t0 & 0 & 0 \\\\\n",
"\t\t0.044 & 0 & 0.032\n",
"\t\\end{bmatrix} ,\n",
"$$\n",
"in units of MHz.\n",
"Thus, representing a much weaker coupling than before.\n",
"To define the system and constants we use:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "d717761f",
"metadata": {},
"outputs": [],
"source": [
"sys2 = NV(\n",
" B0 = 40.1,\n",
" units_B0 = 'mT',\n",
" N = 14\n",
")\n",
"\n",
"tpi = 0.01\n",
"w1 = 1/tpi/2\n",
"axz = 0.055 * np.sin(np.pi*54/180)\n",
"azz = 0.055 * np.cos(np.pi*54/180)\n",
"w02 = 10.705e-3*sys2.B0\n",
"\n",
"H2 = (axz*(tensor(jmat(1, 'x'), qeye(3), jmat(1/2, 'z')) + tensor(jmat(1, 'z'), qeye(3), jmat(1/2, 'x')))\n",
" + azz*tensor(jmat(1, 'z'), qeye(3), jmat(1/2, 'z'))\n",
" - w02*tensor(qeye(3), qeye(3), jmat(1/2, 'z'))\n",
" )\n",
"sys2.add_spin(H2)\n",
"w0 = np.mean(sys2.energy_levels[6:12]) - np.mean(sys2.energy_levels[1:6])"
]
},
{
"cell_type": "markdown",
"id": "ed89df91",
"metadata": {},
"source": [
"To run the CPMG simulation with `M` pulses, we instantiate the `CPMG` class.\n",
"Given the high computational cost of the simulation, we execute it in a server with multiple cores using the `save` method to save the simulations."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "82291751",
"metadata": {},
"outputs": [],
"source": [
"sol_opt = {'atol':1e-16, 'rtol':1e-16, 'nsteps':1e8, 'order':30}\n",
"\t\n",
"tau_cpmg = np.linspace(16.74,16.85,200)\n",
"\n",
"M = [16, 24, 32, 56, 96]\n",
"\n",
"for idx in range(len(M)):\n",
"\n",
" cpmg_sim = CPMG(\n",
" free_duration = tau_cpmg,\n",
" pi_pulse_duration= 0.00999483,\n",
" system = sys2,\n",
" h1 = w1*sys2.MW_h1, \n",
" pulse_shape=square_pulse,\n",
" pulse_params = {'f_pulse': w0},\n",
" M = M[idx],\n",
" time_steps=1000,\n",
" options={'atol':1e-16, 'rtol':1e-16, 'nsteps': 1e8, 'order':30}\n",
" )\n",
"\n",
" cpmg_sim.run()\n",
" save(cpmg_sim, f'./sim_data_tutorials/CPMG-{M[idx]}_13C')"
]
},
{
"cell_type": "markdown",
"id": "23eb6640",
"metadata": {},
"source": [
"The `sol_opt` variable contains a series of parameters for the ODE solver, which can be passed to the object through the `options` argument.\n",
"In this case, the absolute and relative tolerances are decreased, while the number of steps and order are increased, in order to have a more robust solution for such a long pulse sequence.\n",
"\n",
"To retrieve the results we use the `load` method."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b5f12acd",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"for idx in range(len(M)):\n",
" cpmg_sim = load(f'./sim_data_tutorials/CPMG-{M[idx]}_13C')\n",
" Analysis(cpmg_sim).plot_results()"
]
},
{
"cell_type": "markdown",
"id": "9faad3bf",
"metadata": {},
"source": [
"The fluorescence observable shows the 8th order resonance from the weakly coupled 13C spin, displaying oscillations in its intensity as a function of the number of pulses $M$, due to changes in the filtering function of the multipulse sequence.\n",
"By keeping a fixed pulse separation value $\\tau$ and changing the number of pulses $M$, conditional gates can be applied to the nuclear spin exclusively through faster and more precise electron spin pulses.\n",
"In this way, the NV spin is effectively decoupled from arbitrary oscillating environmental noises, allowing a precise control of the weakly coupled 13C spin.\n",
"The simulation also presents a small numerical noise, resulting from truncation errors in the ODE solver at such long $\\tau$ values.\n",
"Both numerical simulations of the Hahn echo and CPMG sequences match the experimental results from Refs. [1, 2], going beyond the semi-analytical model employed there, as it can be used for arbitrary coupling regimes, while considering realistic pulses."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "quaccatoo-env",
"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": "3.13.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}