{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this example, we consider the simplest two-level system. First, we define the system and plot the energy levels. Following that, a Rabi oscillation is simulated for two different excitation field vectors $\\vec{B}_1(t)$ , with the results being fitted and plotted in the Bloch sphere. Lastly, we simulate a Hahn echo decay for a model collapse operator." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from qutip import sigmax, sigmay, sigmaz, basis\n", "\n", "from quaccatoo import QSys, PulsedSim, Analysis, RabiModel, Rabi, Hahn, square_pulse" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Defining the Spin 1/2 System" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin defining a general two-level system with a time independent Hamiltonian given by\n", "$$ H_0 = \\frac{\\omega_0}{2} \\sigma_z ,$$ \n", "where $\\omega_0=1$ MHz is the energy difference between the two levels and $\\sigma_z$ the Pauli matrix. Although simple, this Hamiltonian can represent a varied number of systems: from spin-1/2 nuclear spins in NMR, to electronic spins in EPR, to superconducting qubits. Let us assume now that the state is initialized in the state $|0 \\rangle$ and that the system has an observable given by the operator $\\sigma_z$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "w0 = 1\n", "\n", "# create the QSys object with the desired parameters\n", "qsys = QSys(\n", " H0 = w0/2 * sigmaz(),\n", " rho0 = basis(2, 0),\n", " observable = sigmaz(),\n", " # sets the Hamiltonian units. By default it is considered to be in frequency units.\n", " units_H0 = 'MHz'\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The energy levels are trivial in this simple case. To visualize them we use the plot_energy method from quaccatoo. Note, that in QSys class, the lowest state energy is subtracted from all the eigenenergies to have the lowest level at 0." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys.plot_energy(figsize=(1,3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Rabi Oscillation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the quantum system defined, the first measurement to perform is a Rabi oscillation. This is done by applying a resonant pulse to the system with varying length, such that it will drive the system between the two levels causing a period oscillation of the observable expectation value. Let us consider a square cosine pulse of frequency $\\omega_0$ applied on the x-axis of the laboratory frame. The interaction of the pulse with the system is then described in terms of a control Hamiltonian given by\n", "$$ H_1 = \\omega_1 \\sigma_x ,$$\n", "which is then multiplied by the time-dependent pulse function. $\\omega_1$ is the Rabi frequency, related to the amplitude of the pulse.\n", "\n", "First, let's consider a rabi frequency 10 times smaller than the resonance frequency $\\omega_1=\\omega_0/10$, such that the rotating wave approximation is valid." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w1 = w0/10\n", "\n", "# create the Rabi object for the qsys and the desired parameters\n", "rabi_sim_1 = Rabi(\n", " # time array of pulse duration which we want to simulate the experiment\n", " pulse_duration = np.linspace(0, 40, 1000), \n", " # we pass the qsys object defined in the previous section\n", " system = qsys, \n", " # the Hamiltonian for the interaction with the pulse\n", " H1 = w1*sigmax(), \n", " # the pulse shape function we want to use (this line is redundant since square_pulse is the default pulse shape function if not specified)\n", " pulse_shape = square_pulse,\n", " # we need to pass the the frequency of the pulse as the resonant frequency of the system\n", " pulse_params = {'f_pulse': w0}, \n", ")\n", "\n", "rabi_sim_1.plot_pulses()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize the pulse sequence we can use the `plot_pulses method`, where we can see the pulse shape and the pulse duration. With the run method the experiment is simulated and the expectation value of the observable is plotted with plot_results." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rabi_sim_1.run()\n", "\n", "Analysis(rabi_sim_1).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the expectation value of the operator shows a period oscillation, but with a small modulation related to the rotating wave approximation as we chose $\\omega_0/\\omega_1=10$. For larger ratios, this modulation disappears (check yourself!). Now to fit the data we use the `Analysis` class.\n", "\n", "The `Analysis` instance provides the `run_fit` method which takes in a `fit_model` parameter (an `lmfit` model instance, and optionally also a `guess` parameter for the initial values). We can then visualize the fit via the `plot_fit` method. The `fit_params` attribute contains the detailed fitting report." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_rabi)

Fit Statistics
fitting methodleastsq
# function evals16
# data points1000
# variables4
chi-square 0.62379529
reduced chi-square 6.2630e-04
Akaike info crit.-7371.68830
Bayesian info crit.-7352.05728
R-squared 0.99875014
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
amp 0.99812524 0.00112160(0.11%)0.9984559815149023 -inf infTrue
Tpi 5.00156483 7.9437e-04(0.02%)5.005005005005005 -inf infTrue
phi-1.3590e-06 0.00228935(168452.81%)0.0 -inf infTrue
offset-6.2572e-04 8.0708e-04(128.98%)6.0341154883046144e-05 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Tpiphi+0.8718
Tpioffset+0.1962
phioffset+0.1710
" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rabi_analysis_1 = Analysis(rabi_sim_1)\n", "\n", "rabi_analysis_1.run_fit(\n", " # here we use the RabiModel as a target for fitting\n", " fit_model = RabiModel(), \n", " )\n", "\n", "# plot the results and print the params of the fit\n", "rabi_analysis_1.plot_fit()\n", "rabi_analysis_1.fit_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we observe that the fitted value of the $\\pi$-pulse duration $t_\\pi \\cong 5.001$ μs is slightly larger than the expected value of $1/(2 \\omega_1) = 5$ μs. To obtain a more accurate value, we can consider a rotating pulse with two control Hamiltonians $\\sigma_x$ and $\\sigma_y$, for that we define custom pulse shape for X and Y with a dephasing of $\\pi/2$ as follows." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_rabi)

Fit Statistics
fitting methodleastsq
# function evals16
# data points1000
# variables4
chi-square 2.0777e-08
reduced chi-square 2.0860e-11
Akaike info crit.-24589.1886
Bayesian info crit.-24569.5576
R-squared 1.00000000
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
amp 0.99999940 2.0466e-07(0.00%)1.0004727285547417 -inf infTrue
Tpi 5.00000663 1.4466e-07(0.00%)5.005005005005005 -inf infTrue
phi-2.6341e-05 4.1706e-07(1.58%)0.0 -inf infTrue
offset-8.1005e-07 1.4729e-07(18.18%)0.0009978644624300977 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Tpiphi+0.8717
Tpioffset+0.1961
phioffset+0.1710
" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def custom_pulseX(t):\n", " return np.cos(w0*t)\n", "\n", "def custom_pulseY(t):\n", " return np.cos(w0*t - np.pi/2)\n", "\n", "rabi_sim_2 = Rabi(\n", " pulse_duration = np.linspace(0, 40, 1000),\n", " system = qsys,\n", " # the Hamiltonian for the interaction with the pulse now is a list with the two control Hamiltonians for X and Y\n", " H1 = [w1*sigmax()/2, w1*sigmay()/2], \n", " # for the pulse_shape we pass a list with the two custom pulse shape functions, as now the custom pulses have no other parameters and pulse_params dictionary is empty\n", " pulse_shape = [custom_pulseX, custom_pulseY] \n", ")\n", " \n", "rabi_sim_2.run()\n", "rabi_analysis_2 = Analysis(rabi_sim_2)\n", "\n", "# fit the Rabi oscillations with the run_fit method same as before\n", "rabi_analysis_2.run_fit(\n", " fit_model = RabiModel(),\n", " )\n", "\n", "rabi_analysis_2.plot_fit()\n", "rabi_analysis_2.fit_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the rotating frame of reference, this new rotating pulse is fully aligned within the $x$-axis. Thus, the modulations have disappeared and the $t_\\pi$ value is closer to the expected value of $1/(2\\omega_1)$. Another useful way to visualize the Rabi oscillation is through the Bloch sphere representation with the `plot_bloch` method, as shown below. In the rotating frame, the Bloch vector rotates around the $x$-axis. However, in the laboratory frame, it rotates in a spiral." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rabi_sim_3 = Rabi(\n", " # In this case we define a pulse duration array which goes up to a pi-pulse\n", " pulse_duration = np.linspace(0, 1/2/w1, 500), \n", " system = qsys, \n", " H1 = [w1*sigmax()/2, w1*sigmay()/2],\n", " pulse_shape = [custom_pulseX, custom_pulseY]\n", ")\n", "\n", "rabi_sim_3.run()\n", "rabi_analysis_3 = Analysis(rabi_sim_3)\n", "\n", "rabi_analysis_3.plot_bloch()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Hahn Echo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another important quantity in quantum systems is the coherence time $T_2$, being a measure of how fast a system loses its quantum information, or in other words, how fast it becomes classical. To model the non-unitary process which causes quantum decoherence, we make use of the Lindblad master equation from Qutip. We define as collapse operator\n", "$$ C = \\gamma \\sigma_z ,$$\n", "where $\\gamma=0.1$ MHz is rate of decoherence, inversely proportional to $T_2$. The Hahn echo sequence is then used to measure the coherence time, being composed of two free evolutions with a refocusing $\\pi$-pulse in between. An initial and final $\\pi/2$-pulses are also included in order to project the spin the quantization axis." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gamma = 0.1\n", "\n", "# overwrite the c_ops attribute of the QSys object\n", "qsys.c_ops = gamma * sigmaz()\n", "\n", "hahn_sim = Hahn(\n", " free_duration = np.linspace(5, 25, 30),\n", " pi_pulse_duration= 1/2/w1,\n", " # include the pi/2 pulse after the second free evolution (this line is redundant since it is the default value) \n", " projection_pulse=True,\n", " system = qsys,\n", " H1 = w1*sigmax(), \n", " pulse_shape=square_pulse,\n", " pulse_params = {'f_pulse': w0}\n", ")\n", "\n", "hahn_sim.plot_pulses(tau=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case, we can observe the initial and final $\\pi/2$ pulses, the two free evolutions and the middle $\\pi$-pulse. Finaly, running the experiment leads to an exponential decay of the observable expectation value, known as the Hahn echo decay." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "hahn_sim.run()\n", "Analysis(hahn_sim).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3.1. Custom sequence" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's say now that we want to end the Hahn echo sequence with $3\\pi/2$ pulse instead of $\\pi/2$. This sequence is not predefined in QuaCCAToo, but the user can define it as below. The custom sequence needs to be defined as a python function of a controlled variable, in this case of the free evolution time $\\tau$, and a dictionary with the sequence arguments." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def custom_Hahn(tau, **kwargs):\n", "\n", " # calculate pulse separation time !!! pulse separation time is tau - length of a pi-pulse !!!\n", " ps = tau - kwargs['t_pi'] \n", "\n", " # we start initializing the sequence\n", " seq = PulsedSim(kwargs['qsys'])\n", "\n", " seq.add_pulse(duration=kwargs['t_pi']/2, H1=kwargs['H1'], pulse_shape=kwargs['pulse_shape'], pulse_params = {'f_pulse': kwargs['delta']})\n", " seq.add_free_evolution(duration=ps)\n", " seq.add_pulse(duration=kwargs['t_pi'], H1=kwargs['H1'], pulse_shape=kwargs['pulse_shape'], pulse_params = {'f_pulse': kwargs['delta']})\n", " seq.add_free_evolution(duration=ps)\n", " seq.add_pulse(duration=3*kwargs['t_pi']/2, H1=kwargs['H1'], pulse_shape=kwargs['pulse_shape'], pulse_params = {'f_pulse': kwargs['delta']})\n", "\n", " return seq.rho\n", "\n", "# The sequence arguments are passed through a dictionary\n", "sequence_kwargs = {\n", " 'qsys': qsys,\n", " 'H1': w1*sigmax(),\n", " 'pulse_shape': square_pulse,\n", " 'delta': w0,\n", " 't_pi': 1/2/w1,\n", " 'w1': w1 \n", "}\n", "\n", "custom_seq = PulsedSim(qsys)\n", "# in this case the run method should be specified with the variable and sequence\n", "custom_seq.run(variable=np.linspace(5, 25, 30), sequence=custom_Hahn, sequence_kwargs=sequence_kwargs)\n", "Analysis(custom_seq).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case thus, the expectation value start from negatives values then decays to 0 due to the final $3\\pi/2$ pulse." ] } ], "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 2 }