{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# $F=0 \\rightarrow F'=1$ MOT forces with the OBEs\n", "\n", "This example covers calculating the forces in a one-dimensional MOT using the\n", "optical bloch equations. This example does the boring thing and checks that\n", "everything is working on the $F=0 \\rightarrow F'=1$ transition.\n", "\n", "It first checks the force along the $\\hat{z}$-direction. One should look to see that\n", "things agree with what one expects whether or not one puts the detuning on\n", "the lasers or on the Hamilonian. One should also look at whether the force\n", "depends on transforming the OBEs into the real/imaginary components.\n", "\n", "It then checks the force along the $\\hat{x}$ and $\\hat{y}$ directions. This is important\n", "because the OBEs solve this in a different way compared to the rate equations.\n", "Whereas the rate equatons rediagonalize the Hamiltonian for a given direction,\n", "the OBE solves everything in the $\\hat{z}$-basis.\n", "\n", "Finally, we plop an atom into the 1D MOT and see how it evolves with time." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pylcp\n", "import time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define the problem\n", "\n", "We will define multiple laser beam configurations to start, namely with beams pointed along each axis. Of course, we must also define the Hamiltonian and magnetic field. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "laser_det = 0\n", "ham_det = -2.5\n", "s = 1.\n", "transform = True\n", "\n", "laserBeams = {}\n", "laserBeams['x'] = pylcp.laserBeams([\n", " {'kvec':np.array([ 1., 0., 0.]), 'pol':-1, 'delta':laser_det, 's':s},\n", " {'kvec':np.array([-1., 0., 0.]), 'pol':-1, 'delta':laser_det, 's':s},\n", " ], beam_type=pylcp.infinitePlaneWaveBeam)\n", "laserBeams['y'] = pylcp.laserBeams([\n", " {'kvec':np.array([0., 1., 0.]), 'pol':-1, 'delta':laser_det, 's':s},\n", " {'kvec':np.array([0., -1., 0.]), 'pol':-1, 'delta':laser_det, 's':s}\n", " ], beam_type=pylcp.infinitePlaneWaveBeam)\n", "laserBeams['z'] = pylcp.laserBeams([\n", " {'kvec':np.array([0., 0., 1.]), 'pol':+1, 'delta':laser_det, 's':s},\n", " {'kvec':np.array([0., 0., -1.]), 'pol':+1, 'delta':laser_det, 's':s}\n", " ], beam_type=pylcp.infinitePlaneWaveBeam)\n", "\n", "alpha = 1e-3\n", "magField = pylcp.quadrupoleMagneticField(alpha)\n", "\n", "# Hamiltonian for F=0->F=1\n", "H_g, muq_g = pylcp.hamiltonians.singleF(F=0, gF=0, muB=1)\n", "H_e, muq_e = pylcp.hamiltonians.singleF(F=1, gF=1, muB=1)\n", "d_q = pylcp.hamiltonians.dqij_two_bare_hyperfine(0, 1)\n", "hamiltonian = pylcp.hamiltonian(H_g, H_e - ham_det*np.eye(3), muq_g, muq_e, d_q, mass=250)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute equilibrium force along $\\hat{z}$\n", "\n", "This checks to make sure that the rate equations and OBE agree:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 7.75 s. \n" ] } ], "source": [ "obe={}\n", "rateeq={}\n", "\n", "obe['z'] = {}\n", "rateeq['z'] = {}\n", "\n", "z = np.arange(-5.0, 5.01, 0.25)\n", "\n", "rateeq['z'] = pylcp.rateeq(laserBeams['z'], magField, hamiltonian)\n", "rateeq['z'].generate_force_profile(\n", " [np.zeros(z.shape), np.zeros(z.shape), z/alpha],\n", " np.zeros((3,) + z.shape),\n", " name='MOT_1'\n", ")\n", "\n", "obe['z'] = pylcp.obe(laserBeams['z'], magField, hamiltonian,\n", " transform_into_re_im=transform,\n", " include_mag_forces=True)\n", "obe['z'].generate_force_profile(\n", " [np.zeros(z.shape), np.zeros(z.shape), z/alpha],\n", " np.zeros((3,) + z.shape),\n", " name='MOT_1', deltat_tmax=2*np.pi*100, deltat_r=4/alpha,\n", " itermax=1000, progress_bar=True\n", ");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot up the results:" ] }, { "cell_type": "code", "execution_count": 4, "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(3, 2, num='Optical Molasses F=0->F1', figsize=(6.5, 3*2.25))\n", "\n", "Es = np.zeros((z.size, 4))\n", "for ii, z_i in enumerate(z):\n", " Bq = np.array([0., magField.Field(np.array([0., 0., z_i/alpha]))[2], 0])\n", " Es[ii, :] = np.real(np.diag(hamiltonian.return_full_H({'g->e':np.array([0., 0., 0.])}, Bq)))\n", "\n", "[ax[0, 0].plot(z, Es[:, 1+jj], label='$m_F=%d$'%(jj-1)) for jj in range(3)]\n", "ax[0, 0].legend(fontsize=6)\n", "ax[0, 0].set_ylabel('$E/(\\hbar \\Gamma)$')\n", "\n", "types = ['-', '--', '-.']\n", "lbls = ['+k','-k']\n", "ax[0, 1].plot(obe['z'].profile['MOT_1'].R[2]*alpha,\n", " obe['z'].profile['MOT_1'].F[2],\n", " label='OBE', linewidth=0.75)\n", "ax[0, 1].plot(rateeq['z'].profile['MOT_1'].R[2]*alpha,\n", " rateeq['z'].profile['MOT_1'].F[2],\n", " label='Rate Eq.', linewidth=0.5)\n", "for jj in range(2):\n", " ax[0, 1].plot(obe['z'].profile['MOT_1'].R[2]*alpha,\n", " obe['z'].profile['MOT_1'].f['g->e'][2, :, jj],\n", " types[jj+1], color='C0', linewidth=0.75, label=lbls[jj])\n", " ax[0, 1].plot(rateeq['z'].profile['MOT_1'].R[2]*alpha,\n", " rateeq['z'].profile['MOT_1'].f['g->e'][2, :, jj],\n", " types[jj+1], color='C1', linewidth=0.5)\n", "ax[0, 1].legend(fontsize=6)\n", "ax[0, 1].set_ylabel('$f/(\\hbar k \\Gamma)$')\n", "\n", "for q in range(3):\n", " ax[1, 1].plot(z, obe['z'].profile['MOT_1'].fq['g->e'][2, :, q, 0], types[q],\n", " linewidth=0.5, color='C0', label='$+k$, $q=%d$'%(q-1))\n", " ax[1, 1].plot(z, obe['z'].profile['MOT_1'].fq['g->e'][2, :, q, 1], types[q],\n", " linewidth=0.5, color='C1', label='$-k$, $q=%d$'%(q-1))\n", "ax[1, 1].plot(z, obe['z'].profile['MOT_1'].F[2], 'k-',\n", " linewidth=0.75)\n", "ax[1, 1].legend(fontsize=6)\n", "ax[1, 1].set_xlabel('$z/(\\mu_B \\hbar B\\'/\\Gamma)$')\n", "ax[1, 1].set_ylabel('$f/(\\hbar k \\Gamma)$')\n", "fig.subplots_adjust(wspace=0.15)\n", "\n", "ax[1, 0].plot(z, rateeq['z'].profile['MOT_1'].Neq[:, 0], '--',\n", " linewidth=0.75, label='$F=0$ (RE)')\n", "ax[1, 0].plot(z, obe['z'].profile['MOT_1'].Neq[:, 0], '-',\n", " linewidth=0.5, color='C0', label='$F=0$ (OBE)')\n", "for jj in range(3):\n", " ind = z<=0\n", " ax[1, 0].plot(z[ind], rateeq['z'].profile['MOT_1'].Neq[ind, 3-jj], '--',\n", " linewidth=0.75, color='C%d'%jj, label='$m_F=%d$'%(jj-1))\n", " ind = z>=0\n", " ax[1, 0].plot(z[ind], rateeq['z'].profile['MOT_1'].Neq[ind, jj+1], '--',\n", " linewidth=0.75, color='C%d'%jj)\n", " ax[1, 0].plot(z, obe['z'].profile['MOT_1'].Neq[:, jj+1], '-',\n", " linewidth=0.5, color='C%d'%jj)\n", "\n", "ax[1, 0].legend(fontsize=6)\n", "ax[1, 0].set_ylabel('$N_{eq}$')\n", "\n", "ax[2, 0].plot(z, 1e5*obe['z'].profile['MOT_1'].f_mag[2], linewidth=0.75)\n", "ax[2, 0].plot(z, 1e5*rateeq['z'].profile['MOT_1'].f_mag[2], linewidth=0.5)\n", "ax[2, 0].set_ylabel('$10^5 f_{\\\\rm mag}/\\hbar k \\Gamma$')\n", "ax[2, 0].set_xlabel('$z/(\\mu_B \\hbar B\\'/\\Gamma)$')\n", "ax[2, 1].set_xlabel('$z/(\\mu_B \\hbar B\\'/\\Gamma)$')\n", "fig.subplots_adjust(left=0.08, wspace=0.25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute equilibrium forces along $\\hat{x}$ and $\\hat{y}$\n", "\n", "Same as before, this steps makes sure that the OBEs are correctly evolving in other directions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 6.66 s. \n", "Completed in 6.48 s. \n" ] } ], "source": [ "R = {}\n", "R['x'] = [2*z/alpha, np.zeros(z.shape), np.zeros(z.shape)]\n", "R['y'] = [np.zeros(z.shape), 2*z/alpha, np.zeros(z.shape)]\n", "\n", "for key in ['x','y']:\n", " rateeq[key] = pylcp.rateeq(laserBeams[key], magField,\n", " hamiltonian)\n", " rateeq[key].generate_force_profile(\n", " R[key], np.zeros((3,) + z.shape), name='MOT_1'\n", " )\n", "\n", " obe[key] = pylcp.obe(laserBeams[key], magField, hamiltonian,\n", " transform_into_re_im=transform,\n", " include_mag_forces=False)\n", "\n", " obe[key].generate_force_profile(\n", " R[key], np.zeros((3,) + z.shape), name='MOT_1',\n", " deltat_tmax=2*np.pi*100, deltat_r=4/alpha, itermax=1000,\n", " progress_bar=True,\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot this one up:" ] }, { "cell_type": "code", "execution_count": 6, "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(1, 1)\n", "for ii, key in enumerate(['x','y']):\n", " ax.plot(obe[key].profile['MOT_1'].R[ii]*alpha,\n", " obe[key].profile['MOT_1'].F[ii],\n", " label='OBE + %s' % key, color='C%d'%ii, linewidth=0.5)\n", " ax.plot(rateeq[key].profile['MOT_1'].R[ii]*alpha,\n", " rateeq[key].profile['MOT_1'].F[ii], '--',\n", " label='Rate eq + %s' % key, color='C%d'%ii, linewidth=0.5)\n", "ax.legend(fontsize=6)\n", "ax.set_xlabel('$r/(\\mu_B \\hbar B\\'/\\Gamma)$')\n", "ax.set_ylabel('$f/(\\hbar k \\Gamma)$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Place an atom in this MOT\n", "\n", "We'll place it at rest, but displaced from the origin. It should first be accelerated toward the origin then damped. Depending on the mass parameter, it may execute an oscillation or two." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Completed in 2:06. \n", "Completed in 1:42. \n", "Completed in 1:41. \n" ] } ], "source": [ "for key in obe:\n", " if key is 'x':\n", " ii = 0\n", " elif key is 'y':\n", " ii = 1\n", " elif key is 'z':\n", " ii = 2\n", "\n", " r0 = np.zeros((3,))\n", " r0[ii] = 10.\n", " \n", " obe[key].set_initial_position(r0)\n", " obe[key].set_initial_velocity(np.zeros((3,)))\n", " obe[key].set_initial_rho_from_rateeq()\n", " \n", " freeze_axis = [True]*3\n", " freeze_axis[ii] = False\n", " \n", " obe[key].evolve_motion([0, 5e4],\n", " freeze_axis=freeze_axis,\n", " progress_bar=True,\n", " random_recoil=False\n", " )" ] }, { "cell_type": "code", "execution_count": 9, "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, 1)\n", "for key in obe:\n", " if key is 'x':\n", " ii = 0\n", " elif key is 'y':\n", " ii = 1\n", " elif key is 'z':\n", " ii = 2\n", " \n", " ax.plot(obe[key].sol.t/1e3, obe[key].sol.r[ii], label=key)\n", "\n", "ax.legend()\n", "ax.set_xlabel('$10^3 \\Gamma t$')\n", "ax.set_ylabel('$r=x,y,z$');" ] } ], "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 }