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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ladder-Type Three-Level: Weak Pulse with Coupling — EIT"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the Problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "mb_solve_json = \"\"\"\n",
    "{\n",
    "  \"atom\": {\n",
    "    \"decays\": [\n",
    "      { \"channels\": [[0,1]], \n",
    "        \"rate\": 1.0\n",
    "      },\n",
    "      { \"channels\": [[1,2]], \n",
    "        \"rate\": 1.0e-3\n",
    "      }\n",
    "    ],\n",
    "    \"fields\": [\n",
    "      {\n",
    "        \"coupled_levels\": [[0, 1]],\n",
    "        \"detuning\": 5.0,\n",
    "        \"detuning_positive\": true,\n",
    "        \"label\": \"probe\",\n",
    "        \"rabi_freq\": 1.0e-3,\n",
    "        \"rabi_freq_t_args\": \n",
    "          {\n",
    "             \"ampl\": 1.0,\n",
    "             \"centre\": 0.0,\n",
    "             \"fwhm\": 1.0\n",
    "          },\n",
    "        \"rabi_freq_t_func\": \"gaussian\"\n",
    "      },\n",
    "      {\n",
    "        \"coupled_levels\": [[1, 2]],\n",
    "        \"detuning\": 0.0,\n",
    "        \"detuning_positive\": true,\n",
    "        \"label\": \"coupling\",\n",
    "        \"rabi_freq\": 5.0,\n",
    "        \"rabi_freq_t_args\": \n",
    "        {\n",
    "          \"ampl\": 1.0,\n",
    "          \"fwhm\": 0.2,\n",
    "          \"on\": -1.0, \n",
    "          \"off\": 9.0\n",
    "          },\n",
    "        \"rabi_freq_t_func\": \"ramp_onoff\"\n",
    "      }\n",
    "    ],\n",
    "    \"num_states\": 3\n",
    "  },\n",
    "  \"t_min\": -2.0,\n",
    "  \"t_max\": 10.0,\n",
    "  \"t_steps\": 60,\n",
    "  \"z_min\": -0.2,\n",
    "  \"z_max\": 1.2,\n",
    "  \"z_steps\": 100,\n",
    "  \"z_steps_inner\": 2,\n",
    "  \"interaction_strengths\": [100.0, 100.0],\n",
    "  \"savefile\": \"mbs-ladder-weak-pulse-coupling-decay\" \n",
    "}\n",
    "\"\"\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "from maxwellbloch import mb_solve\n",
    "\n",
    "mb_solve_00 = mb_solve.MBSolve().from_json_str(mb_solve_json)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Solve the Problem"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "%time Omegas_zt, states_zt = mb_solve_00.mbsolve(recalc=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_style(\"dark\")\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "fig = plt.figure(1, figsize=(16, 12))\n",
    "\n",
    "# Probe\n",
    "ax = fig.add_subplot(211)\n",
    "cmap_range = np.linspace(0.0, 1.0e-3, 11)\n",
    "cf = ax.contourf(\n",
    "    mb_solve_00.tlist,\n",
    "    mb_solve_00.zlist,\n",
    "    np.abs(mb_solve_00.Omegas_zt[0] / (2 * np.pi)),\n",
    "    cmap_range,\n",
    "    cmap=plt.cm.Blues,\n",
    ")\n",
    "ax.set_title(r\"Rabi Frequency ($\\Gamma / 2\\pi $)\")\n",
    "ax.set_ylabel(\"Distance ($L$)\")\n",
    "ax.text(\n",
    "    0.02,\n",
    "    0.95,\n",
    "    \"Probe\",\n",
    "    verticalalignment=\"top\",\n",
    "    horizontalalignment=\"left\",\n",
    "    transform=ax.transAxes,\n",
    "    color=\"grey\",\n",
    "    fontsize=16,\n",
    ")\n",
    "plt.colorbar(cf)\n",
    "\n",
    "# Coupling\n",
    "ax = fig.add_subplot(212)\n",
    "cmap_range = np.linspace(0.0, 8.0, 11)\n",
    "cf = ax.contourf(\n",
    "    mb_solve_00.tlist,\n",
    "    mb_solve_00.zlist,\n",
    "    np.abs(mb_solve_00.Omegas_zt[1] / (2 * np.pi)),\n",
    "    cmap_range,\n",
    "    cmap=plt.cm.Greens,\n",
    ")\n",
    "ax.set_xlabel(r\"Time ($1/\\Gamma$)\")\n",
    "ax.set_ylabel(\"Distance ($L$)\")\n",
    "ax.text(\n",
    "    0.02,\n",
    "    0.95,\n",
    "    \"Coupling\",\n",
    "    verticalalignment=\"top\",\n",
    "    horizontalalignment=\"left\",\n",
    "    transform=ax.transAxes,\n",
    "    color=\"grey\",\n",
    "    fontsize=16,\n",
    ")\n",
    "plt.colorbar(cf)\n",
    "\n",
    "# Both\n",
    "for ax in fig.axes:\n",
    "    for y in [0.0, 1.0]:\n",
    "        ax.axhline(y, c=\"grey\", lw=1.0, ls=\"dotted\")\n",
    "plt.tight_layout();"
   ]
  }
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