{ "cells": [ { "cell_type": "markdown", "id": "ab6ed6ac-e259-48f4-b6a1-c2c385f3a116", "metadata": {}, "source": [ "# Simple NMOR examples #\n", "\n", "The goal of this notebook is to show how Rydiqule can be used to define and solve atomic systems that exhibit Nonlinear Magneto-Optical Rotation (NMOR).\n", "These systems generally involve a single optical field coupling two hyperfine states with an applied axial magnetic field that breaks the degeneracy of the magnetic sublevels.\n", "\n", "As such, an accurate model includes all sublevels of each transition, with the optical coupling being applied to the sub-levels according to the appropriate Clebsch-Gordon coefficients. This is accomplished by using rydiqule's coupling groups functionality with an appropriate clebsch-gordon coefficient dictionary mapping.\n", "\n", "One must also be able to apply Larmor shifts to the magnetic sublevels due to the interaction with the magnetic field. This is accomplished by applying energy shifts to each sublevel of a manifold, using a similar dictionary mapping for the energy shift of each state.\n", "\n", "The below examples all use the `Sensor` class. This class is largely un-aware of atomic physics, so it is up to the user to specify the correct couplings and interactions when modeling a system.\n", "\n", "This notebook can be downloaded [here](https://github.com/QTC-UMD/rydiqule/blob/main/docs/source/examples/NMOR_examples.ipynb)." ] }, { "cell_type": "code", "execution_count": 1, "id": "76d1c4f5-f003-44ab-91a7-aaefb6448ed3", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "id": "6add3414-1605-4c64-8fbf-e6427b78b756", "metadata": {}, "outputs": [], "source": [ "%load_ext line_profiler" ] }, { "cell_type": "code", "execution_count": 3, "id": "06fd85d2-3094-4ea4-818b-f623b00ca293", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import itertools\n", "import rydiqule as rq\n", "from arc import CG\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "435632e6-78be-4032-9318-4243105c0efc", "metadata": { "tags": [] }, "source": [ "## A F=0 to F'=1 spectroscopy experiment with $\\sigma^{\\pm}$ probing light ##\n", "\n", "This example assumes a fixed axial magnetic field and shows the spectroscopic response versus probe detuning." ] }, { "cell_type": "code", "execution_count": 4, "id": "7d4feec8-12dd-4324-8340-d7d5d99b77b9", "metadata": {}, "outputs": [], "source": [ "g = ('g', 0)\n", "e = ('e', [-1,0,1])" ] }, { "cell_type": "code", "execution_count": 5, "id": "030495b6-3fb6-470b-8f2e-a57ace7128f7", "metadata": {}, "outputs": [], "source": [ "s = rq.Sensor([g, e])" ] }, { "cell_type": "code", "execution_count": 6, "id": "ed7272de-c1a8-4e9c-8b1f-bdf2e562cec0", "metadata": {}, "outputs": [], "source": [ "dets = np.linspace(-10,10,21)\n", "rabi_freq = 1\n", "cg = {(g, ('e',-1)):1,\n", " (g, ('e', 0)):0,\n", " (g, ('e', 1)):-1}\n", "\n", "s.add_coupling((g, e), rabi_frequency=rabi_freq, detuning=2*np.pi*dets, coupling_coefficients=cg, label='probe')" ] }, { "cell_type": "code", "execution_count": 7, "id": "f3fd9a4e-807e-4872-92f3-3ab4a3c06517", "metadata": {}, "outputs": [], "source": [ "s.add_decoherence((e, g), 2*np.pi*6.0666, label='F1_gamma')" ] }, { "cell_type": "code", "execution_count": 8, "id": "c1576507-3bd0-43b1-ad77-8d4e46de143f", "metadata": {}, "outputs": [], "source": [ "larmor_freq = 3\n", "larmor_shifts = {('e', -1): 2*np.pi*larmor_freq,\n", " ('e', 1): -2*np.pi*larmor_freq}\n", "\n", "s.add_energy_shifts(larmor_shifts)" ] }, { "cell_type": "markdown", "id": "077cf806-ff64-49cd-85bb-cfe1a1b9ce40", "metadata": {}, "source": [ "Note that `Sensor.add_coupling` has automatically zipped together all of the individual couplings detunings' for the detuning sweep.\n", "So there is only one parameter dimension in the generated hamiltonians (instead of two)." ] }, { "cell_type": "code", "execution_count": 9, "id": "1a61077d-2d95-44a8-894c-457ef39be195", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(21, 4, 4)\n" ] } ], "source": [ "hams = s.get_hamiltonian()\n", "print(hams.shape)" ] }, { "cell_type": "code", "execution_count": 10, "id": "31f6a76a-b5a1-41e0-9215-fa59b826ad8a", "metadata": {}, "outputs": [], "source": [ "solF0F1sig = rq.solve_steady_state(s)" ] }, { "cell_type": "markdown", "id": "8ed256ec-ba9d-47f5-aba8-6915d4dfc7dd", "metadata": {}, "source": [ "Full characterization of an optical field requires four parameters. We prefer the angle-ellipticity parameterization where the field is described by its amplitude, phase, linear polarization angle, and ellipticity. Rydiqule's built-in `coupling_coefficient_observable` uses the defined coupling-coefficients for the desired transition to define the susceptibility of the ensemble that is co-polarized with the input light field. This susceptibility then directly gives the field fractional absorption as well as the phase shift. \n", "\n", "To obtain the polarization rotation and ellipticity changes, one must calculate the susceptibility for the orthogonal ensemble polarizability. This is done by providing the coupling-coefficient matrix that corresponds to the orthogonally polarized light field. In this example, this matrix happens to be the absolute value of the co-polarized matrix." ] }, { "cell_type": "code", "execution_count": 11, "id": "a8847830", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0. 0. 0. 0.]\n", " [ 1. 0. 0. 0.]\n", " [ 0. 0. 0. 0.]\n", " [-1. 0. 0. 0.]]\n", "[[0. 0. 0. 0.]\n", " [1. 0. 0. 0.]\n", " [0. 0. 0. 0.]\n", " [1. 0. 0. 0.]]\n" ] } ], "source": [ "aligned_obs = solF0F1sig.coupling_coefficient_matrix((g, ('e', 'all')))\n", "print(aligned_obs)\n", "perp_obs = np.abs(aligned_obs)\n", "print(perp_obs)" ] }, { "cell_type": "code", "execution_count": 12, "id": "6b2ce12a-c8b8-45a0-b24d-36c7a45e5750", "metadata": {}, "outputs": [], "source": [ "susc = solF0F1sig.coupling_coefficient_observable((g, ('e', 'all')))\n", "susc_perp = solF0F1sig.get_observable(perp_obs)" ] }, { "cell_type": "code", "execution_count": 13, "id": "083e045f-6e6f-427d-8766-c11e62f104f6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Probe Detuning (MHz)')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax, ax2) = plt.subplots(1, 2, figsize=(8, 3.5))\n", "\n", "ax.plot(dets, susc.real, label='Phase Shift')\n", "ax.plot(dets, susc.imag, label='Absorption')\n", "ax.legend()\n", "ax.set_xlabel('Probe Detuning (MHz)')\n", "ax.set_ylabel('Observable (arb.)')\n", "\n", "ax2.plot(dets, susc_perp.real, label='Pol. Rot.')\n", "ax2.plot(dets, susc_perp.imag, label='Ellip.')\n", "ax2.legend()\n", "ax2.set_xlabel('Probe Detuning (MHz)')" ] }, { "cell_type": "markdown", "id": "dd9b0507-a092-4761-b699-d355fa101e16", "metadata": {}, "source": [ "## A F=0 to F'=1 spectroscopy experiment with $\\pi$ polarized probe light ##\n", "\n", "This example is nearly identical to the first example, but the light is now $\\pi$ polarized (meaning the quantization axis has changed to be aligned with the optical polarization).\n", "Here the observable corresponds to the phase shift on the light." ] }, { "cell_type": "code", "execution_count": 14, "id": "b07b14cc-f9a0-4775-a4a2-ad754c5295e8", "metadata": {}, "outputs": [], "source": [ "g = ('g', 0)\n", "e = ('e', [-1,0,1])" ] }, { "cell_type": "code", "execution_count": 15, "id": "ea1cfb85-51ac-4e24-ab5d-2ad420881d34", "metadata": {}, "outputs": [], "source": [ "s = rq.Sensor([g,e])" ] }, { "cell_type": "code", "execution_count": 16, "id": "e46598ef-c9dc-4b2f-b7fb-52c389bfbd02", "metadata": {}, "outputs": [], "source": [ "dets = np.linspace(-10,10,21)\n", "rabi_freq = 1\n", "cg = {(g, ('e',-1)):0,\n", " (g, ('e', 0)):1,\n", " (g, ('e', 1)):0}\n", "\n", "s.add_coupling((g,e), rabi_frequency=2*np.pi*rabi_freq, detuning=2*np.pi*dets, coupling_coefficients=cg, label='probe')" ] }, { "cell_type": "code", "execution_count": 17, "id": "de05a703-6ffb-4d58-a9a8-e0faccf074ff", "metadata": {}, "outputs": [], "source": [ "s.add_decoherence((e,g), 2*np.pi*6.0666, label='F1_gamma')" ] }, { "cell_type": "code", "execution_count": 18, "id": "4253626e-1c82-4e50-9537-3913ca7d9a88", "metadata": {}, "outputs": [], "source": [ "solF0F1pi = rq.solve_steady_state(s)" ] }, { "cell_type": "code", "execution_count": 19, "id": "d1474070-b386-4666-9954-fb3e422e1ead", "metadata": {}, "outputs": [], "source": [ "susc = solF0F1pi.coupling_coefficient_observable((g, ('e', 'all')))" ] }, { "cell_type": "code", "execution_count": 20, "id": "353133bc-8768-421c-9a84-5565e73989aa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Phase shift (arb.)')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1)\n", "\n", "ax.plot(dets, susc.real)\n", "ax.set_xlabel(\"Probe Detuning (MHz)\")\n", "ax.set_ylabel(\"Phase shift (arb.)\")" ] }, { "cell_type": "markdown", "id": "1701f259-122d-400c-9f25-6ff4261a5797", "metadata": {}, "source": [ "## A F=1 to F'=0 spectroscopy experiment with $\\sigma^{\\pm}$ and a static axial magnetic field ##\n", "\n", "This is much like the first example, but the degeneracy of the hyperfine manifolds is reversed between the ground and excited states.\n", "In order for this system to produce an interesting result, we add transit broadening.\n", "This prevents all the population from being optically pumped into the $F=1, m_F=0$ ground state." ] }, { "cell_type": "code", "execution_count": 21, "id": "e1a1a144-c19c-4b2b-a389-2c8e15951b41", "metadata": {}, "outputs": [], "source": [ "g = (1, [-1,0,1])\n", "e = (0, 0)" ] }, { "cell_type": "code", "execution_count": 22, "id": "7d9eadc7-31c9-44ea-b3a1-4e5e90069c77", "metadata": {}, "outputs": [], "source": [ "s = rq.Sensor([g,e])" ] }, { "cell_type": "code", "execution_count": 23, "id": "c3ec4795-82d1-4dbe-b216-d559b7ad3265", "metadata": {}, "outputs": [], "source": [ "dets = np.linspace(-10,10,21)\n", "rabi_freq = 1\n", "cg = {((1,-1), e):1,\n", " ((1,0), e):0,\n", " ((1,1), e):-1}\n", "\n", "s.add_coupling((g,e), rabi_frequency=2*np.pi*rabi_freq, detuning=2*np.pi*dets, coupling_coefficients=cg, label='probe')" ] }, { "cell_type": "code", "execution_count": 24, "id": "0c8ced13-2f3f-46e6-a09b-4c1813608c3e", "metadata": {}, "outputs": [], "source": [ "cgg = {(e, (1,-1)): 1/3,\n", " (e, (1,0)): 1/3,\n", " (e, (1,1)): 1/3}\n", "s.add_decoherence((e, g), 2*np.pi*6.0666, coupling_coefficients=cgg, label='F0_gamma')\n", "\n", "s.add_transit_broadening(2*np.pi*0.1, repop={state:1/3 for state in s.states_with_spec(g)})" ] }, { "cell_type": "code", "execution_count": 25, "id": "940b1951-891e-49fb-8f64-c1abb801ed08", "metadata": {}, "outputs": [], "source": [ "larmor_freq = 3\n", "prefactors = {(1,-1): 2*np.pi,\n", " (1,1): -2*np.pi}\n", "\n", "s.add_energy_shift(g, larmor_freq, prefactors=prefactors)" ] }, { "cell_type": "code", "execution_count": 26, "id": "159defdf-e416-4d96-81cc-d071f3bd8645", "metadata": {}, "outputs": [], "source": [ "solF1F0sig = rq.solve_steady_state(s)" ] }, { "cell_type": "code", "execution_count": 27, "id": "3ace70c6", "metadata": {}, "outputs": [], "source": [ "aligned_obs = solF1F0sig.coupling_coefficient_matrix(((1, 'all'), e))\n", "perp_obs = np.abs(aligned_obs)" ] }, { "cell_type": "code", "execution_count": 28, "id": "3fd37403", "metadata": {}, "outputs": [], "source": [ "susc_aligned = solF1F0sig.coupling_coefficient_observable(((1, 'all'), e))\n", "susc_perp = solF1F0sig.get_observable(perp_obs)" ] }, { "cell_type": "code", "execution_count": 29, "id": "5f711eee", "metadata": {}, "outputs": [], "source": [ "pops = rq.get_rho_populations(solF1F0sig)" ] }, { "cell_type": "code", "execution_count": 30, "id": "190bcaec", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Sub-level population (frac.)')" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 3.5))\n", "\n", "ax.plot(dets, susc_aligned.real, label='Phase Shift')\n", "ax.plot(dets, susc_aligned.imag, label='Absorption')\n", "ax.legend()\n", "ax.set_xlabel('Probe Detuning (MHz)')\n", "ax.set_ylabel('Observable (arb.)')\n", "\n", "ax2.plot(dets, susc_perp.real,label='Pol. Rot.')\n", "ax2.plot(dets, susc_perp.imag, label='Ellip. Rot.')\n", "ax2.legend()\n", "ax2.set_xlabel('Probe Detuning (MHz)')\n", "\n", "ax3.plot(dets, pops, label=s.states)\n", "ax3.legend()\n", "ax3.set_xlabel('Probe Detuning (MHz)')\n", "ax3.set_ylabel('Sub-level population (frac.)')" ] }, { "cell_type": "markdown", "id": "343c9a1e-68d7-4f0c-bc3b-8243c76bcf83", "metadata": {}, "source": [ "## A F=1 to F'=0 spectroscopy experiment with $\\sigma^{\\pm}$ and a static detuning and a varying axial magnetic field ##\n", "\n", "This is the prototypical NMOR experiment.\n", "A linearly-polarized probing field interacts with the atomic system.\n", "The quantization axis is aligned with the axial magnetic field, meaning the probing light is decomposed into equal parts of left and right circular polarization.\n", "Sweeping the axial magnetic field strength produces nested dispersive features in the polarization rotation of the probe field.\n", "The larger feature is linear birefringence due to un-even absorption of the two polarization components.\n", "The narrow feature is NMOR, resulting from a non-linear interaction " ] }, { "cell_type": "code", "execution_count": 31, "id": "79a5bc20-9193-4c3b-a5f0-c9632b4e2547", "metadata": {}, "outputs": [], "source": [ "g = (1, [-1,0,1])\n", "e = (0, 0)" ] }, { "cell_type": "code", "execution_count": 32, "id": "20f19dcd-4267-4f09-8e0a-4d458eb190b7", "metadata": {}, "outputs": [], "source": [ "s = rq.Sensor([g,e])" ] }, { "cell_type": "code", "execution_count": 33, "id": "9dd627f0-6b9a-46e0-a16a-ae194cf38598", "metadata": {}, "outputs": [], "source": [ "det = 3\n", "rabi_freq = 1\n", "cg = {((1,-1), e):1,\n", " ((1,0), e):0,\n", " ((1,1), e):-1}\n", "\n", "s.add_coupling((g,e), rabi_frequency=2*np.pi*rabi_freq, detuning=2*np.pi*det, coupling_coefficients=cg, label='probe')" ] }, { "cell_type": "code", "execution_count": 34, "id": "7411181d-72ec-4803-8bf8-fd5a35497815", "metadata": {}, "outputs": [], "source": [ "cgg = {(e, (1,-1)): 1/3,\n", " (e, (1,0)): 1/3,\n", " (e, (1,1)): 1/3}\n", "s.add_decoherence((e, g), 2*np.pi*6.0666, coupling_coefficients=cgg, label='F0_gamma')\n", "\n", "s.add_transit_broadening(2*np.pi*0.1, repop={state:1/3 for state in s.states_with_spec(g)})" ] }, { "cell_type": "code", "execution_count": 35, "id": "c6c1377d-f8f8-4119-8f4a-a8ba0f3cc7a3", "metadata": {}, "outputs": [], "source": [ "larmor_freqs = np.linspace(-15, 15, 301)\n", "prefactors = {(1,-1): 2*np.pi,\n", " (1,1): -2*np.pi}\n", "\n", "s.add_energy_shift(g, larmor_freqs, prefactors=prefactors)" ] }, { "cell_type": "code", "execution_count": 36, "id": "3cd74265-9c7c-4465-a568-fe19aca06405", "metadata": {}, "outputs": [], "source": [ "solF1F0sigNMOR = rq.solve_steady_state(s)" ] }, { "cell_type": "code", "execution_count": 37, "id": "e14a580b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0. 0. 0. 0.]\n", " [ 0. 0. 0. 0.]\n", " [ 0. 0. 0. 0.]\n", " [ 1. 0. -1. 0.]]\n", "[[0. 0. 0. 0.]\n", " [0. 0. 0. 0.]\n", " [0. 0. 0. 0.]\n", " [1. 0. 1. 0.]]\n" ] } ], "source": [ "aligned_obs = solF1F0sigNMOR.coupling_coefficient_matrix(((1, 'all'), e))\n", "print(aligned_obs)\n", "perp_obs = np.abs(aligned_obs)\n", "print(perp_obs)" ] }, { "cell_type": "code", "execution_count": 38, "id": "1deb197d-2dfa-496a-83f9-b567bc07f875", "metadata": {}, "outputs": [], "source": [ "susc_aligned = solF1F0sigNMOR.coupling_coefficient_observable(((1, 'all'), e))\n", "susc_perp = solF1F0sigNMOR.get_observable(perp_obs)" ] }, { "cell_type": "code", "execution_count": 39, "id": "099d77ca-e12e-49f5-a045-69391ded9cd8", "metadata": {}, "outputs": [], "source": [ "pops = rq.get_rho_populations(solF1F0sigNMOR)" ] }, { "cell_type": "code", "execution_count": 40, "id": "44575dd3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Sub-level population (frac.)')" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 3.5))\n", "\n", "ax.plot(larmor_freqs, susc_aligned.real, label='Phase Shift')\n", "ax.plot(larmor_freqs, susc_aligned.imag, label='Absorption')\n", "ax.legend()\n", "ax.set_xlabel('Larmor Frequency (MHz)')\n", "ax.set_ylabel('Observable (arb.)')\n", "\n", "ax2.plot(larmor_freqs, susc_perp.real,label='Pol. Rot.')\n", "ax2.plot(larmor_freqs, susc_perp.imag, label='Ellip. Rot.')\n", "ax2.legend()\n", "ax2.set_xlabel('Larmor Frequency (MHz)')\n", "\n", "ax3.plot(larmor_freqs, pops, label=s.states)\n", "ax3.legend()\n", "ax3.set_xlabel('Larmor Frequency (MHz)')\n", "ax3.set_ylabel('Sub-level population (frac.)')" ] }, { "cell_type": "markdown", "id": "e79ee8f9-a913-4bab-ad4d-ffff694aaf92", "metadata": {}, "source": [ "## A Rb87 D2 spectroscopy experiment with $\\sigma^{\\pm}$ polarized light ##\n", "\n", "This is equivalent to doing D2 spectroscopy of atoms in a cold beam of Rubidium87 atoms.\n", "The transit of the beam prevents all the atoms from being trivially optically pumped to the stretch state." ] }, { "cell_type": "markdown", "id": "10625517-059f-41cf-bbcc-5e7171cc24a7", "metadata": {}, "source": [ "To do this correctly, we need to properly scale Rabi frequencies and dephasings by the actual Clebsch-Gordon coefficient for each sub-level transition.\n", "\n", "We leverage ARC's implementation to provide this functionality here.\n", "\n", "`CG(F, mF, 1, q, F', mF')`" ] }, { "cell_type": "code", "execution_count": 41, "id": "b1fb7bf5-c326-4194-b280-99118d26cf65", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[('e', 0, 0)], [('e', 1, -1), ('e', 1, 0), ('e', 1, 1)], [('e', 2, -2), ('e', 2, -1), ('e', 2, 0), ('e', 2, 1), ('e', 2, 2)], [('e', 3, -3), ('e', 3, -2), ('e', 3, -1), ('e', 3, 0), ('e', 3, 1), ('e', 3, 2), ('e', 3, 3)]]\n", "[[('g', 1, -1), ('g', 1, 0), ('g', 1, 1)], [('g', 2, -2), ('g', 2, -1), ('g', 2, 0), ('g', 2, 1), ('g', 2, 2)]]\n" ] } ], "source": [ "Fps = [0,1,2,3]\n", "Fgs = [1,2]\n", "e_states = [[('e',F,mF) for mF in range(-F,F+1)] for F in Fps]\n", "print(e_states)\n", "g_states = [[('g',F,mF) for mF in range(-F,F+1)] for F in Fgs]\n", "print(g_states)\n", "e_spec = ('e','all','all')\n", "g_spec = ('g','all','all')" ] }, { "cell_type": "code", "execution_count": 42, "id": "05b37a80-a0af-4bc2-bbd9-b9addb23bf3a", "metadata": {}, "outputs": [], "source": [ "# this flattens the list of lists\n", "e_list = list(itertools.chain.from_iterable(e_states))\n", "g_list = list(itertools.chain.from_iterable(g_states))" ] }, { "cell_type": "code", "execution_count": 43, "id": "1107caed-9524-4267-a22e-0592ee6fcce8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[('g', 1, -1), ('g', 1, 0), ('g', 1, 1), ('g', 2, -2), ('g', 2, -1), ('g', 2, 0), ('g', 2, 1), ('g', 2, 2), ('e', 0, 0), ('e', 1, -1), ('e', 1, 0), ('e', 1, 1), ('e', 2, -2), ('e', 2, -1), ('e', 2, 0), ('e', 2, 1), ('e', 2, 2), ('e', 3, -3), ('e', 3, -2), ('e', 3, -1), ('e', 3, 0), ('e', 3, 1), ('e', 3, 2), ('e', 3, 3)]\n", "There are 24 total states\n" ] } ], "source": [ "s = rq.Sensor(g_list+e_list)\n", "print(s.states)\n", "print(f'There are {len(s.states):d} total states')" ] }, { "cell_type": "markdown", "id": "4f7210ee-f0b8-4cb8-b110-b30dd8efa915", "metadata": {}, "source": [ "We iterate through all optical couplings, ignoring those that are not dipole allowed (ie CG=0)." ] }, { "cell_type": "code", "execution_count": 44, "id": "3330852c-7a46-4ec4-9077-e24c1344bc2d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 36 total couplings\n" ] } ], "source": [ "qs = [-1, 1]\n", "cg = {(('g',Fg,mFg), ('e',Fe,mFe)): CG(Fg, mFg, 1, q, Fe, mFe)**2\n", " for Fg in Fgs\n", " for Fe in Fps\n", " for mFg in range(-Fg,Fg+1)\n", " for mFe in range(-Fe, Fe+1)\n", " for q in qs\n", " if CG(Fg, mFg, 1, q, Fe, mFe) != 0.0}\n", "print(f'There are {len(cg):d} total couplings')" ] }, { "cell_type": "code", "execution_count": 45, "id": "928dc12f-574d-4d9c-92a5-2b056a90a1bc", "metadata": {}, "outputs": [], "source": [ "dets = np.linspace(-310, 205, 231)\n", "rabi_freq = 1\n", "\n", "s.add_coupling((g_spec, e_spec), rabi_frequency=2*np.pi*rabi_freq, detuning=2*np.pi*dets, coupling_coefficients=cg, label='probe')" ] }, { "cell_type": "markdown", "id": "fcc4b019-481e-4180-9a3e-f043dfe3e766", "metadata": {}, "source": [ "We iterate through all possible dephasing paths (including those that don't have optical couplings on them), again ignoring those that are not dipole-allowed." ] }, { "cell_type": "code", "execution_count": 46, "id": "f2c64e6c-452f-49d0-9a88-f335d6d2b382", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 54 total lifetime dephasings\n" ] } ], "source": [ "qs = [-1, 0, 1]\n", "cgg = {(('e',Fe,mFe), ('g',Fg,mFg)): CG(Fg, mFg, 1, q, Fe, mFe)**2\n", " for Fg in Fgs\n", " for Fe in Fps\n", " for mFg in range(-Fg,Fg+1)\n", " for mFe in range(-Fe, Fe+1)\n", " for q in qs\n", " if CG(Fg, mFg, 1, q, Fe, mFe) != 0.0}\n", "print(f'There are {len(cgg):d} total lifetime dephasings')" ] }, { "cell_type": "code", "execution_count": 47, "id": "e406fd70-d1e9-451c-9721-1a6a294024e2", "metadata": {}, "outputs": [], "source": [ "s.add_decoherence((e_spec,g_spec), 2*np.pi*6.0666, coupling_coefficients=cgg, label='HFS_gamma')" ] }, { "cell_type": "markdown", "id": "ab90f4b2-b76f-49e4-9904-02d3d79980b1", "metadata": {}, "source": [ "We add some minor transit broadening. In a doppler-free solution, this would be equivalent to a cold beam of atoms with a transit time through the beams equivalent to 100kHz." ] }, { "cell_type": "code", "execution_count": 48, "id": "56959c11-f648-437f-90e0-88249f44a8c5", "metadata": {}, "outputs": [], "source": [ "s.add_transit_broadening(2*np.pi*0.1, repop={state: 1/len(g_list) for state in g_list})" ] }, { "cell_type": "markdown", "id": "4b7d4647-a581-4d4a-81d3-89af611a0e25", "metadata": {}, "source": [ "We now add the hyperfine shifts of the various manifolds. The excited state is defined relative to the center of mass energy (i.e. fine structure only).\n", "The ground states are defined relative to our primary state of interest." ] }, { "cell_type": "code", "execution_count": 49, "id": "c7994d9f-b109-42f6-a78d-9de0f01bcafc", "metadata": {}, "outputs": [], "source": [ "hfs_shifts = {**{state: 2*np.pi*193.7407 for state in s.states_with_spec(('e',3,'all'))},\n", " **{state: -2*np.pi*72.9112 for state in s.states_with_spec(('e',2,'all'))},\n", " **{state: -2*np.pi*229.8518 for state in s.states_with_spec(('e',1,'all'))},\n", " **{state: -2*np.pi*302.0738 for state in s.states_with_spec(('e',0,'all'))},\n", " **{state: -2*np.pi*6834.682610904290 for state in s.states_with_spec(('g',1,'all'))}\n", " }" ] }, { "cell_type": "code", "execution_count": 50, "id": "9819b33d-2881-4695-81bd-ee79a5504c4d", "metadata": {}, "outputs": [], "source": [ "s.add_energy_shifts(hfs_shifts)" ] }, { "cell_type": "code", "execution_count": 51, "id": "0a1175af-b98d-4f0f-ad55-003496f4e953", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: total: 33.2 s\n", "Wall time: 8.66 s\n" ] } ], "source": [ "%%time\n", "solRb87D2 = rq.solve_steady_state(s)" ] }, { "cell_type": "code", "execution_count": 52, "id": "8b3aa681-132f-4c9e-aab5-63ac9c8a8a65", "metadata": {}, "outputs": [], "source": [ "susc = solRb87D2.coupling_coefficient_observable((e_spec, g_spec))" ] }, { "cell_type": "code", "execution_count": 53, "id": "5cebd442-1c49-49d6-9fe5-4a07b655a142", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Probe Absorption (arb.)')" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1)\n", "\n", "ax.plot(dets, susc.imag)\n", "ax.set_xlabel('Probe Detuning (MHz)')\n", "ax.set_ylabel('Probe Absorption (arb.)')" ] }, { "cell_type": "code", "execution_count": 54, "id": "24391940-1183-4df6-aa3b-a7ac2efac00d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " Rydiqule\n", " ================\n", " \n", "Rydiqule Version: 1.3.0.dev474+g005aa83.d20241205\n", "Installation Path: ~\\src\\rydiqule\\src\\rydiqule\n", "\n", " Dependencies\n", " ================\n", " \n", "NumPy Version: 1.26.4\n", "SciPy Version: 1.10.1\n", "Matplotlib Version: 3.7.1\n", "ARC Version: 3.6.0\n", "Python Version: 3.11.5\n", "Python Install Path: ~\\miniconda3\\envs\\rq\n", "Platform Info: Windows (AMD64)\n", "CPU Count and Freq: 16 @ 3.91 GHz\n", "Total System Memory: 256 GB\n" ] } ], "source": [ "rq.about()" ] }, { "cell_type": "code", "execution_count": null, "id": "89aea962-67f3-46cc-bd98-77a72fbe1375", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "RQ", "language": "python", "name": "rq" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }