{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example: Effect of wavefront aberrations in atom interferometry" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example, we reproduce two plots from the paper https://link.springer.com/article/10.1007/s00340-015-6138-5.\n", "\n", "The simulation will require the following objects and parameters\n", "* `Wavefront`: contains the wavefront aberrations of the interferometry lasers\n", "* `AtomicEnsemble`: an ensemble of atoms which different trajectories or phase space vectors\n", "* `Detector`: determines which atoms contribute to the signal\n", "* times of the three interferometer pulses\n", "* effective wavevector" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import json\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import aisim as ais" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Loading and preparing wavefront data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Wavefront aberration in multiples of $\\lambda$ = 780 nm. \n", "\n", "Load Zernike coefficients from file:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "coeff_window = np.loadtxt(\"data/wavefront.txt\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Creating `Wavefront` objects and removing piston, tip and tilt from the data:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "r_wf = 10.91e-3 # radius of the available wavefront data in m\n", "\n", "wf = ais.Wavefront(r_wf, coeff_window)\n", "for n in [0, 1, 2]:\n", " wf.coeff[n] = 0" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wf.plot()\n", "fig, ax = wf.plot_coeff()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating an atomic ensemble\n", "\n", "Due to the large number of parameters determining an atomic ensemble, dictionaries are used:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "pos_params = {\n", " \"mean_x\": 0.0,\n", " \"std_x\": 3.0e-3, # cloud radius in m\n", " \"mean_y\": 0.0,\n", " \"std_y\": 3.0e-3, # cloud radius in m\n", " \"mean_z\": 0.0,\n", " \"std_z\": 0.0, # ignore z dimension, its not relevant here\n", "}\n", "vel_params = {\n", " \"mean_vx\": 0.0,\n", " \"std_vx\": ais.convert.vel_from_temp(\n", " 3.5e-6\n", " ), # cloud velocity spread in m/s at tempearture of 3 uK\n", " \"mean_vy\": 0.0,\n", " \"std_vy\": ais.convert.vel_from_temp(\n", " 3.5e-6\n", " ), # cloud velocity spread in m/s at tempearture of 3 uK\n", " \"mean_vz\": 0.0,\n", " \"std_vz\": ais.convert.vel_from_temp(\n", " 160e-9\n", " ), # after velocity selection, velocity in z direction is 160 nK\n", "}\n", "\n", "atoms = ais.create_random_ensemble_from_gaussian_distribution(\n", " pos_params, vel_params, int(1e5), state_kets=[0, 1], seed=1\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the initial positions of the ensemble." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y / mm')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.scatter(1e3 * atoms.initial_position[:, 0], 1e3 * atoms.initial_position[:, 1])\n", "ax.set_aspect(\"equal\", \"box\")\n", "ax.set_xlabel(\"x / mm\")\n", "ax.set_ylabel(\"y / mm\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up the detector\n", "\n", "We want to calculate the dependency of the phase shift caused by wavefront aberrations on the detection area. For this reason, we set up a Detector with varying detection radius within a for-loop." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "t_det = 778e-3 # time of the detection in s" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation the bias in gravity from wavefront aberrations\n", "\n", "For the simulation we need the objects created above and the timing of the interferometer sequence." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "T = 260e-3 # interferometer time in s\n", "t1 = 130e-3 # time of first pulse in s\n", "t2 = t1 + T\n", "t3 = t2 + T" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "awfs = []\n", "r_dets = np.linspace(2e-3, 10e-3, 16)\n", "for r_det in r_dets:\n", " # creating detector with new detection radius\n", " det = ais.PolarDetector(t_det, r_det=r_det)\n", "\n", " det_atoms = det.detected_atoms(atoms)\n", "\n", " # calculate the imprinted phase for each \"test atom\" at each pulse. This is the computationally heavy part\n", " phi1 = 2 * np.pi * wf.get_value(det_atoms.calc_position(t1))\n", " phi2 = 2 * np.pi * wf.get_value(det_atoms.calc_position(t2))\n", " phi3 = 2 * np.pi * wf.get_value(det_atoms.calc_position(t3))\n", "\n", " # calculate a complex amplitude factor for the Mach-Zehnder sequence and calculate\n", " # the mean. Note that some atoms will have probed the wavefront outside of the\n", " # Raman beam radius and will thus have a NaN value in the phase.\n", " awfs.append(np.nanmean(np.exp(1j * (phi1 - 2 * phi2 + phi3))))\n", "\n", "# factor two since the window is passed twice\n", "g = 2 * ais.phase_error_to_grav(np.angle(awfs), T=260e-3, keff=1.610574779769e7)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We load the measured gravity data from a file and compare it to the simulation results." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "data = json.load(open(\"data/experimental_data.json\"))\n", "r_det_data = np.array(data[\"r_det\"])\n", "grav = np.array(data[\"g\"])\n", "graverr = np.array(data[\"g_err\"])" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.plot(1e3 * r_dets, 1e9 * g, label=\"simulation\")\n", "ax.errorbar(1e3 * r_det_data, 1e9 * grav, yerr=1e9 * graverr, fmt=\"o\", label=\"data\")\n", "ax.set_xlabel(\"Detection radius / mm\")\n", "ax.set_ylabel(\"Gravity bias / $nm/s^2$\")\n", "ax.set_ylim([-35, 5])\n", "ax.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the original software used in the paper used a fixed position and velocity\n", "grid rather than a Monte-Carlo approach, so some discrepancies are to be expected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "aisim", "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 2 }