{ "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 = {j: val for j, val in enumerate(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, zern_order=\"WYANT\", zern_norm=None)\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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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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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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", "text/plain": [ "
" ] }, "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." ] } ], "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 }