{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Real atoms in a MOT\n", "\n", "This example covers calculating the forces in various type-I and type-II\n", "three-dimensional MOT with real atoms and comparing the results." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.constants as cts\n", "import pylcp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $^7$Li: compare the D$_2$ line with a basic $F=2\\rightarrow F=3$ transition\n", "\n", "We'll do this specifically for $^7$Li. As usual, we first define the Hamiltonian, laser Beams, and magnetic field. We start with the full D$_2$ line. Note that we need to specify a repump laser, which, for $^7$Li, generally has the same red detuning as the main cooling beam." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "det = -2.0\n", "alpha = 1.0\n", "s = 1.0\n", "\n", "# Define the atomic Hamiltonian for 7Li:\n", "atom = pylcp.atom(\"7Li\")\n", "H_g_D2, mu_q_g_D2 = pylcp.hamiltonians.hyperfine_coupled(\n", " atom.state[0].J, atom.I, atom.state[0].gJ, atom.gI,\n", " atom.state[0].Ahfs/atom.state[2].gammaHz, Bhfs=0, Chfs=0,\n", " muB=1)\n", "H_e_D2, mu_q_e_D2 = pylcp.hamiltonians.hyperfine_coupled(\n", " atom.state[2].J, atom.I, atom.state[2].gJ, atom.gI,\n", " Ahfs=atom.state[2].Ahfs/atom.state[2].gammaHz,\n", " Bhfs=atom.state[2].Bhfs/atom.state[2].gammaHz, Chfs=0,\n", " muB=1)\n", "\n", "dijq_D2 = pylcp.hamiltonians.dqij_two_hyperfine_manifolds(\n", " atom.state[0].J, atom.state[2].J, atom.I)\n", "\n", "E_e_D2 = np.unique(np.diagonal(H_e_D2))\n", "E_g_D2 = np.unique(np.diagonal(H_g_D2))\n", "\n", "hamiltonian_D2 = pylcp.hamiltonian(H_g_D2, H_e_D2, mu_q_g_D2, mu_q_e_D2, dijq_D2)\n", "\n", "# Now, we need to sets of laser beams -> one for F=1->2 and one for F=2->3:\n", "laserBeams_cooling_D2 = pylcp.conventional3DMOTBeams(\n", " s=s, delta=(E_e_D2[0] - E_g_D2[1]) + det)\n", "laserBeams_repump_D2 = pylcp.conventional3DMOTBeams(\n", " s=s, delta=(E_e_D2[1] - E_g_D2[0]) + det)\n", "laserBeams_D2 = laserBeams_cooling_D2 + laserBeams_repump_D2\n", "\n", "magField = pylcp.quadrupoleMagneticField(alpha)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct the rate equations for the full D$_2$ line and calculate a force profile:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "x = np.arange(-5, 5.1, 0.2)\n", "v = np.arange(-5, 5.1, 0.2)\n", "\n", "dx = np.mean(np.diff(x))\n", "dv = np.mean(np.diff(v))\n", "\n", "X, V = np.meshgrid(x, v)\n", "\n", "# Define the trap:\n", "trap_D2 = pylcp.rateeq(\n", " laserBeams_D2, magField, hamiltonian_D2, \n", " include_mag_forces=False\n", ")\n", "trap_D2.generate_force_profile(\n", " [np.zeros(X.shape), np.zeros(X.shape), X],\n", " [np.zeros(V.shape), np.zeros(V.shape), V],\n", " name='Fz')\n", "FzLi_D2 = trap_D2.profile['Fz'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, repeat the same procedure for the simpler $F=2\\rightarrow F'=3$ transition, making sure we keep the g-factors the same:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Define the atomic Hamiltonian for F-> 2 to 3:\n", "H_g_23, mu_q_g_23 = pylcp.hamiltonians.singleF(F=2, gF=1/2, muB=1)\n", "H_e_23, mu_q_e_23 = pylcp.hamiltonians.singleF(F=3, gF=2/3, muB=1)\n", "\n", "dijq_23 = pylcp.hamiltonians.dqij_two_bare_hyperfine(2, 3)\n", "\n", "hamiltonian_23 = pylcp.hamiltonian(H_g_23, H_e_23, mu_q_g_23, mu_q_e_23, dijq_23)\n", "\n", "# Define the laser beams for 2->3\n", "laserBeams_23 = pylcp.conventional3DMOTBeams(s=s, delta=det)\n", "\n", "# Make the trap for 2->3\n", "trap_23 = pylcp.rateeq(\n", " laserBeams_23, magField, hamiltonian_23, include_mag_forces=False)\n", "trap_23.generate_force_profile(\n", " [np.zeros(X.shape), np.zeros(X.shape), X],\n", " [np.zeros(V.shape), np.zeros(V.shape), V],\n", " name='Fz')\n", "Fz2to3 = trap_23.profile['Fz'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot up the results:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 2, figsize=(1.5*3.25, 1.5*2.75))\n", "ax[0, 0].imshow(FzLi_D2, origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto')\n", "ax[0, 1].imshow(Fz2to3, origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto')\n", "ax[1, 0].plot(X[int(X.shape[0]/2), :],\n", " FzLi_D2[int(X.shape[0]/2), :])\n", "ax[1, 0].plot(X[int(X.shape[0]/2), :],\n", " Fz2to3[int(X.shape[0]/2), :], '--',\n", " linewidth=0.75)\n", "ax[1, 1].plot(V[:, int(X.shape[1]/2)+1],\n", " FzLi_D2[:, int(X.shape[1]/2)+1], label='$^7$Li')\n", "ax[1, 1].plot(V[:, int(X.shape[1]/2)+1],\n", " Fz2to3[:, int(X.shape[1]/2)+1], '--',\n", " label='$F=2 \\\\rightarrow F\\'=3$',\n", " linewidth=0.75)\n", "\n", "ax[1, 1].legend(fontsize=8)\n", "\n", "[ax[ii, 1].yaxis.set_ticklabels('') for ii in range(2)]\n", "[ax[0, ii].xaxis.set_ticklabels('') for ii in range(2)]\n", "\n", "ax[0, 0].set_ylabel('$v/(\\Gamma/k)$')\n", "ax[1, 0].set_ylabel('$f/(\\hbar k \\Gamma)$')\n", "ax[1, 0].set_xlabel('$x/\\mu_B B\\'/\\hbar\\Gamma$')\n", "ax[1, 1].set_xlabel('$x/\\mu_B B\\'/\\hbar\\Gamma$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, it seems to me that because of the un-resolved hyperfine structure in the\n", "excited state that is inherent in 7Li, the repump, which drives $F=1\\rightarrow F'=2$\n", "transitions will also contribute the trapping and cause most of the difference\n", "between the $F=2\\rightarrow F=3$ and the full Hamiltonian calculation. \n", "\n", "### Switch to $^{87}$Rb\n", "\n", "By switching to 87Rb we can bring the repump to resonance, and turn down its intensity to 1/100 of the main cooling light." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "atom = pylcp.atom(\"87Rb\")\n", "H_g_D2, mu_q_g_D2 = pylcp.hamiltonians.hyperfine_coupled(\n", " atom.state[0].J, atom.I, atom.state[0].gJ, atom.gI,\n", " atom.state[0].Ahfs/atom.state[2].gammaHz, Bhfs=0, Chfs=0,\n", " muB=1)\n", "H_e_D2, mu_q_e_D2 = pylcp.hamiltonians.hyperfine_coupled(\n", " atom.state[2].J, atom.I, atom.state[2].gJ, atom.gI,\n", " Ahfs=atom.state[2].Ahfs/atom.state[2].gammaHz,\n", " Bhfs=atom.state[2].Bhfs/atom.state[2].gammaHz, Chfs=0,\n", " muB=1)\n", "mu_q_g_D2[1]\n", "dijq_D2 = pylcp.hamiltonians.dqij_two_hyperfine_manifolds(\n", " atom.state[0].J, atom.state[2].J, atom.I)\n", "\n", "E_e_D2 = np.unique(np.diagonal(H_e_D2))\n", "E_g_D2 = np.unique(np.diagonal(H_g_D2))\n", "\n", "hamiltonian_D2 = pylcp.hamiltonian(H_g_D2, H_e_D2, mu_q_g_D2, mu_q_e_D2, dijq_D2)\n", "\n", "# Now, we need to sets of laser beams -> one for F=1->2 and one for F=2->3:\n", "laserBeams_cooling_D2 = pylcp.conventional3DMOTBeams(\n", " s=s, delta=(E_e_D2[-1] - E_g_D2[-1]) + det)\n", "laserBeams_repump_D2 = pylcp.conventional3DMOTBeams(\n", " s=0.01*s, delta=(E_e_D2[-2] - E_g_D2[-2]))\n", "laserBeams_D2 = laserBeams_cooling_D2 + laserBeams_repump_D2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct the full rate equations for the D$_2$ line:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "trap_D2 = pylcp.rateeq(\n", " laserBeams_D2, magField, hamiltonian_D2, include_mag_forces=False)\n", "trap_D2.generate_force_profile(\n", " [np.zeros(X.shape), np.zeros(X.shape), X],\n", " [np.zeros(V.shape), np.zeros(V.shape), V],\n", " name='Fz')\n", "FzRb_D2 = trap_D2.profile['Fz'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot up the results:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 2, figsize=(1.5*3.25, 1.5*2.75))\n", "ax[0, 0].imshow(FzLi_D2, origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto')\n", "ax[0, 1].imshow(Fz2to3, origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto')\n", "ax[1, 0].plot(X[int(X.shape[0]/2), :],\n", " FzLi_D2[int(X.shape[0]/2), :])\n", "ax[1, 0].plot(X[int(X.shape[0]/2), :],\n", " Fz2to3[int(X.shape[0]/2), :], '--',\n", " linewidth=0.75)\n", "ax[1, 1].plot(V[:, int(X.shape[1]/2)+1],\n", " FzLi_D2[:, int(X.shape[1]/2)+1], label='$^7$Li')\n", "ax[1, 1].plot(V[:, int(X.shape[1]/2)+1],\n", " Fz2to3[:, int(X.shape[1]/2)+1], '--',\n", " label='$F=2 \\\\rightarrow F\\'=3$',\n", " linewidth=0.75)\n", "\n", "ax[1, 1].legend(fontsize=8)\n", "\n", "[ax[ii, 1].yaxis.set_ticklabels('') for ii in range(2)]\n", "[ax[0, ii].xaxis.set_ticklabels('') for ii in range(2)]\n", "\n", "ax[0, 0].set_ylabel('$v/(\\Gamma/k)$')\n", "ax[1, 0].set_ylabel('$f/(\\hbar k \\Gamma)$')\n", "ax[1, 0].set_xlabel('$x/\\mu_B B\\'/\\hbar\\Gamma$')\n", "ax[1, 1].set_xlabel('$x/\\mu_B B\\'/\\hbar\\Gamma$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $^{23}$Na: type-I MOTs\n", "\n", "Now let's cover the four type I (type-I/type-II) MOTs of J. Flemming, et. al.,\n", "Opt. Commun. 135, 269 (1997). We must loop through the four types." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "atom = pylcp.atom(\"23Na\")\n", "H_g_D1, Bq_g_D1 = pylcp.hamiltonians.hyperfine_coupled(\n", " atom.state[0].J, atom.I, atom.state[0].gJ, atom.gI,\n", " atom.state[0].Ahfs/atom.state[1].gammaHz, Bhfs=0, Chfs=0,\n", " muB=3)\n", "H_e_D1, Bq_e_D1 = pylcp.hamiltonians.hyperfine_coupled(\n", " atom.state[1].J, atom.I, atom.state[1].gJ, atom.gI,\n", " Ahfs=atom.state[1].Ahfs/atom.state[1].gammaHz,\n", " Bhfs=atom.state[1].Bhfs/atom.state[1].gammaHz, Chfs=0,\n", " muB=3)\n", "\n", "E_g_D1 = np.unique(np.diagonal(H_g_D1))\n", "E_e_D1 = np.unique(np.diagonal(H_e_D1))\n", "\n", "dijq_D1 = pylcp.hamiltonians.dqij_two_hyperfine_manifolds(\n", " atom.state[0].J, atom.state[1].J, atom.I)\n", "\n", "hamiltonian_D1 = pylcp.hamiltonian(H_g_D1, H_e_D1, Bq_g_D1, Bq_e_D1, dijq_D1)\n", "\n", "# Conditions taken from the paper, Table 1:\n", "conds = np.array([[1, 1, -25/10, -1, 2, 1, -60/10, +1],\n", " [1, 1, -20/10, -1, 2, 2, -30/10, +1],\n", " [1, 2, -20/10, +1, 2, 1, -50/10, +1],\n", " [1, 2, -40/10, +1, 2, 2, -60/10, +1]])\n", "\n", "FzNa_D1 = np.zeros((4,) + FzRb_D2.shape)\n", "for ii, cond in enumerate(conds):\n", " laserBeams_laser1 = pylcp.conventional3DMOTBeams(\n", " s=s, delta=(E_e_D1[int(cond[1]-1)] - E_g_D1[0]) + cond[2], pol=cond[3])\n", " laserBeams_laser2 = pylcp.conventional3DMOTBeams(\n", " s=s, delta=(E_e_D1[int(cond[5]-1)] - E_g_D1[1]) + cond[6], pol=cond[7])\n", " laserBeams_D1 = laserBeams_laser1 + laserBeams_laser2\n", "\n", " # Calculate the forces:\n", " trap_D1 = pylcp.rateeq(\n", " laserBeams_D1, magField, hamiltonian_D1, include_mag_forces=False)\n", " trap_D1.generate_force_profile(\n", " [np.zeros(X.shape), np.zeros(X.shape), X],\n", " [np.zeros(V.shape), np.zeros(V.shape), V],\n", " name='Fz')\n", " FzNa_D1[ii] = trap_D1.profile['Fz'].F[2]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot up the force vs. classical phase space:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "lim = np.amax(np.abs(FzNa_D1))\n", "fig, ax = plt.subplots(2, 2, figsize=(1.5*3.25, 1.5*2.75))\n", "ax[0, 0].imshow(FzNa_D1[0], origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto', clim=(-0.01, 0.01))\n", "ax[0, 1].imshow(FzNa_D1[1], origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto', clim=(-0.01, 0.01))\n", "ax[1, 0].imshow(FzNa_D1[2], origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto', clim=(-0.01, 0.01))\n", "ax[1, 1].imshow(FzNa_D1[3], origin='bottom',\n", " extent=(np.amin(x)-dx/2, np.amax(x)+dx/2, \n", " np.amin(v)-dv/2, np.amax(v)+dv/2),\n", " aspect='auto', clim=(-0.01, 0.01))\n", "\n", "[ax[ii, 1].yaxis.set_ticklabels('') for ii in range(2)]\n", "[ax[0, ii].xaxis.set_ticklabels('') for ii in range(2)]\n", "\n", "ax[0, 0].set_ylabel('$v/(\\Gamma/k)$')\n", "ax[1, 0].set_ylabel('$v/(\\Gamma/k)$')\n", "ax[1, 0].set_xlabel('$x/\\mu_B B\\'/\\hbar\\Gamma$')\n", "ax[1, 1].set_xlabel('$x/\\mu_B B\\'/\\hbar\\Gamma$');" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(6.25, 2.75))\n", "types = ['A','B','C','D']\n", "for ii in range(4):\n", " ax[0].plot(x, 1e3*FzNa_D1[ii][int(len(x)/2),:], label='type ' + types[ii])\n", " ax[1].plot(v, 1e3*FzNa_D1[ii][:,int(len(v)/2)], label='type ' + types[ii])\n", "ax[1].legend()\n", "ax[0].set_xlabel('$x/(\\mu_B B\\'/\\hbar \\Gamma)$')\n", "ax[1].set_xlabel('$v/(\\Gamma/k)$')\n", "ax[0].set_ylabel('$f/(\\hbar k \\Gamma)$')\n", "fig.subplots_adjust(wspace=0.2)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }