{ "cells": [ { "cell_type": "markdown", "id": "ed66967b", "metadata": {}, "source": [ "# Rabi splitting of coupled harmonic oscillators\n", "\n", "Here, we demonstrate coupling the simple harmonic oscillator (SHO) driver with the `maxwelllink.SingleModeSimulation` electromagnetic solver. By resonantly coupling one classical cavity mode to a SHO, we aim to monitor the cavity coordinate and study the expected Rabi splitting in the frequency domain." ] }, { "cell_type": "markdown", "id": "26a64100", "metadata": {}, "source": [ "## 1. Defining Molecule\n", "\n", "We first create a `Molecule` instance using the non-socket mode, i.e., we directly initialize the SHO within the `Molecule` class:" ] }, { "cell_type": "code", "execution_count": 1, "id": "eb90582c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[Init Molecule] Operating in non-socket mode, using driver: sho\n" ] } ], "source": [ "import numpy as np\n", "import maxwelllink as mxl\n", "\n", "frequency_au = 0.242\n", "mu0 = 187\n", "\n", "molecule = mxl.Molecule(\n", " driver=\"sho\",\n", " driver_kwargs={\n", " \"omega\": frequency_au,\n", " \"mu0\": mu0,\n", " \"orientation\": 2,\n", " \"p_initial\": 1e-2,\n", " }\n", ")" ] }, { "cell_type": "markdown", "id": "9404431e", "metadata": {}, "source": [ "## 2. Defining the single mode cavity\n", "\n", "Then, we create a `SingleModeSimulation` instance which defines the parameters for a single harmonic oscillator. The pre-defined `molecule` is also attached to this class for coupled light-matter simulations.\n", "\n", "This single-mode cavity obeys the following equations of motion:\n", "\n", "$$\n", "\\ddot{q}_{\\rm c} = -\\omega_{\\rm c}^{2}\\, q_c - \\varepsilon \\mu - \\gamma_c\\, p_{\\rm c} + D(t),\n", "$$\n", "\n", "where the effective electric field of this cavity mode is\n", "\n", "$$\n", "E(t) = -\\varepsilon q_{\\rm c}(t) - \\frac{\\varepsilon^2}{\\omega_{\\rm c}^2}\\mu(t).\n", "$$\n", "\n", "Here, $\\varepsilon = \\frac{\\omega_{\\rm c}}{\\sqrt{\\epsilon_0 V}}$ is the **coupling strength**. All quantities are in **atomic units**. Dipole self-energy is included in the calculation of the effective electric field $E(t)$. The molecular dipole moment is calculated as $\\mu=\\mu_0 q_{\\rm{SHO}}$.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "efeaa956", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Configured SingleModeSimulation with omega_c = 0.242 a.u. and g = 0.000 a.u.\n", "[SingleModeCavity] Completed 1000/40960 [2.4%] steps, time/step: 4.66e-05 seconds, remaining time: 1.86 seconds.\n", "[SingleModeCavity] Completed 2000/40960 [4.9%] steps, time/step: 4.60e-05 seconds, remaining time: 1.80 seconds.\n", "[SingleModeCavity] Completed 3000/40960 [7.3%] steps, time/step: 4.54e-05 seconds, remaining time: 1.75 seconds.\n", "[SingleModeCavity] Completed 4000/40960 [9.8%] steps, time/step: 4.53e-05 seconds, remaining time: 1.69 seconds.\n", "[SingleModeCavity] Completed 5000/40960 [12.2%] steps, time/step: 4.41e-05 seconds, remaining time: 1.64 seconds.\n", "[SingleModeCavity] Completed 6000/40960 [14.6%] steps, time/step: 4.66e-05 seconds, remaining time: 1.60 seconds.\n", "[SingleModeCavity] Completed 7000/40960 [17.1%] steps, time/step: 4.48e-05 seconds, remaining time: 1.55 seconds.\n", "[SingleModeCavity] Completed 8000/40960 [19.5%] steps, time/step: 4.37e-05 seconds, remaining time: 1.49 seconds.\n", "[SingleModeCavity] Completed 9000/40960 [22.0%] steps, time/step: 4.36e-05 seconds, remaining time: 1.44 seconds.\n", "[SingleModeCavity] Completed 10000/40960 [24.4%] steps, time/step: 4.32e-05 seconds, remaining time: 1.39 seconds.\n", "[SingleModeCavity] Completed 11000/40960 [26.9%] steps, time/step: 4.38e-05 seconds, remaining time: 1.34 seconds.\n", "[SingleModeCavity] Completed 12000/40960 [29.3%] steps, time/step: 4.55e-05 seconds, remaining time: 1.30 seconds.\n", "[SingleModeCavity] Completed 13000/40960 [31.7%] steps, time/step: 4.38e-05 seconds, remaining time: 1.25 seconds.\n", "[SingleModeCavity] Completed 14000/40960 [34.2%] steps, time/step: 4.33e-05 seconds, remaining time: 1.21 seconds.\n", "[SingleModeCavity] Completed 15000/40960 [36.6%] steps, time/step: 4.31e-05 seconds, remaining time: 1.16 seconds.\n", "[SingleModeCavity] Completed 16000/40960 [39.1%] steps, time/step: 4.34e-05 seconds, remaining time: 1.11 seconds.\n", "[SingleModeCavity] Completed 17000/40960 [41.5%] steps, time/step: 4.42e-05 seconds, remaining time: 1.07 seconds.\n", "[SingleModeCavity] Completed 18000/40960 [43.9%] steps, time/step: 4.41e-05 seconds, remaining time: 1.02 seconds.\n", "[SingleModeCavity] Completed 19000/40960 [46.4%] steps, time/step: 4.39e-05 seconds, remaining time: 0.98 seconds.\n", "[SingleModeCavity] Completed 20000/40960 [48.8%] steps, time/step: 4.34e-05 seconds, remaining time: 0.93 seconds.\n", "[SingleModeCavity] Completed 21000/40960 [51.3%] steps, time/step: 4.32e-05 seconds, remaining time: 0.88 seconds.\n", "[SingleModeCavity] Completed 22000/40960 [53.7%] steps, time/step: 4.47e-05 seconds, remaining time: 0.84 seconds.\n", "[SingleModeCavity] Completed 23000/40960 [56.2%] steps, time/step: 4.39e-05 seconds, remaining time: 0.80 seconds.\n", "[SingleModeCavity] Completed 24000/40960 [58.6%] steps, time/step: 4.35e-05 seconds, remaining time: 0.75 seconds.\n", "[SingleModeCavity] Completed 25000/40960 [61.0%] steps, time/step: 4.39e-05 seconds, remaining time: 0.71 seconds.\n", "[SingleModeCavity] Completed 26000/40960 [63.5%] steps, time/step: 4.36e-05 seconds, remaining time: 0.66 seconds.\n", "[SingleModeCavity] Completed 27000/40960 [65.9%] steps, time/step: 4.36e-05 seconds, remaining time: 0.62 seconds.\n", "[SingleModeCavity] Completed 28000/40960 [68.4%] steps, time/step: 4.43e-05 seconds, remaining time: 0.57 seconds.\n", "[SingleModeCavity] Completed 29000/40960 [70.8%] steps, time/step: 4.40e-05 seconds, remaining time: 0.53 seconds.\n", "[SingleModeCavity] Completed 30000/40960 [73.2%] steps, time/step: 4.56e-05 seconds, remaining time: 0.49 seconds.\n", "[SingleModeCavity] Completed 31000/40960 [75.7%] steps, time/step: 4.37e-05 seconds, remaining time: 0.44 seconds.\n", "[SingleModeCavity] Completed 32000/40960 [78.1%] steps, time/step: 4.37e-05 seconds, remaining time: 0.40 seconds.\n", "[SingleModeCavity] Completed 33000/40960 [80.6%] steps, time/step: 4.39e-05 seconds, remaining time: 0.35 seconds.\n", "[SingleModeCavity] Completed 34000/40960 [83.0%] steps, time/step: 4.51e-05 seconds, remaining time: 0.31 seconds.\n", "[SingleModeCavity] Completed 35000/40960 [85.4%] steps, time/step: 4.42e-05 seconds, remaining time: 0.26 seconds.\n", "[SingleModeCavity] Completed 36000/40960 [87.9%] steps, time/step: 4.38e-05 seconds, remaining time: 0.22 seconds.\n", "[SingleModeCavity] Completed 37000/40960 [90.3%] steps, time/step: 4.32e-05 seconds, remaining time: 0.18 seconds.\n", "[SingleModeCavity] Completed 38000/40960 [92.8%] steps, time/step: 4.41e-05 seconds, remaining time: 0.13 seconds.\n", "[SingleModeCavity] Completed 39000/40960 [95.2%] steps, time/step: 4.40e-05 seconds, remaining time: 0.09 seconds.\n", "[SingleModeCavity] Completed 40000/40960 [97.7%] steps, time/step: 4.36e-05 seconds, remaining time: 0.04 seconds.\n" ] } ], "source": [ "\n", "coupling_strength = 1e-5\n", "dt_au = 1e-1\n", "damping_au = 0e-4\n", "total_steps = 40960\n", "\n", "sim = mxl.SingleModeSimulation(\n", " molecules=[molecule],\n", " frequency_au=frequency_au,\n", " coupling_strength=coupling_strength,\n", " damping_au=damping_au,\n", " coupling_axis=\"z\",\n", " drive=0.0,\n", " dt_au=dt_au,\n", " qc_initial=[0, 0, 0.0],\n", " record_history=True,\n", " # including dipole self-energy term for SHO model\n", " include_dse=True,\n", ")\n", "\n", "print(\n", " f\"Configured SingleModeSimulation with omega_c = {frequency_au:.3f} a.u. \"\n", " f\"and g = {coupling_strength:.3f} a.u.\"\n", ")\n", "\n", "sim.run(steps=total_steps)" ] }, { "cell_type": "markdown", "id": "6448af65", "metadata": {}, "source": [ "## 3. Retrieve simulation observables\n", "\n", "After the simulation, we can retrieve the SHO trajectory from `molecule.extra` together with the cavity coordinate `q_c(t)` stored directly by `SingleModeSimulation`." ] }, { "cell_type": "code", "execution_count": 3, "id": "7ff5617a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collected 40960 SHO samples and 40960 cavity samples.\n" ] } ], "source": [ "q_sho_au = molecule.extra[\"q_au\"]\n", "tls_time_au = molecule.extra[\"time_au\"]\n", "\n", "qc_history = np.array(sim.qc_history)[:, 2] # z-component\n", "energy_history = np.array(sim.energy_history)\n", "time_history = np.array(sim.time_history)\n", "\n", "print(\n", " f\"Collected {q_sho_au.size} SHO samples and {qc_history.size} cavity samples.\"\n", ")" ] }, { "cell_type": "markdown", "id": "535b133b", "metadata": {}, "source": [ "## 4. Inspect time-domain Rabi oscillations\n", "\n", "Because the SHO is at resonance with the classical cavity mode, Rabi oscillations can be observed for this coupled system.\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "4b159ffe", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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uVoHq1au7+w+fRUAj8S+77DI3U4KmPQp/udNodc0SUK9ePffYNIuARv5rRoGVK1eG1tPj1OwH0ZJ7HfBfO5566ikvLZs2bXLTTlWtWtVN5aXHefrpp7tR7f5I+dS2l9z+/u6779z+LFOmjNumRt2fe+65bgYLnz9rgWZoiKaR+IMHD3bTjen50f7VFFPaR9GzVPg0nZWOrfBZHdKidS+99FK3z4sWLer+PWvWrCSzFvh0HGpGBU1Blhwdr7Vq1UqyPLnj9PHHH3fTmWl7mgZMU4xpP0a/FWbk+fVn2vjoo49SvW/NHKGZHjSVm/avpiBr0qSJ9+mnn4ZmiNB+1u3UPs0CoceW1iwYQG6XoP9ZDqVP8OPGjQt99aZOm6l/laql4aOARf281M9Vg0tUuU2NKhbJDVjw6RTnSSedlO7TSAAiqa+r+syqUqXKLGJj1apVruqtqrz/xRU+dQlR39lmzZol+eKFzKQzBZrlQN0YVEUHgFzbtUDfdKN+cXqT1Kme5OgUo164j5YGDuh0XkrbB5Aync5WH3N9c5JOZ/N99dlHfWzV9UpdHooVK+a6kuhDhP59ww03RIzA1+/UHUunyTXILiv88MMPrn+u/21cqQ3iBZB75bggqwEu4V8XqIrCkiVLXB8w9WNVRVb9s5555hkXbDUtjfolqT/d0XzaVx9bzUepPk0KyOoDtWPHDtc3EUDGqD+s+pCq0qd+rOHztyJraRCVRsprXlXN6KK+y5q1Qn1Zw89AqTKqQbPqW6q5ZNOacutoqS+rBuZq+/5XKANAtBzXtUCDVjQQJJqCpSZQV9cBhU0N0Prjjz/cgCzNf6hBDQqzGaWBIxrsoECsKVY0XZAGEOj76QEAAJB1clyQBQAAQO6Q6+aRBQAAQM5AkAUAAEAg5YjBXkeOHLE///zTTYzOgAAAAIDgUq9XfQugvrwquS9kyXFBViG2YsWKsW4GAAAAMom+gS+tbzrMEUHW/x5xPWDNeQgAAIBg0jSmKlD6+S7HB1m/O4FCLEEWAAAg+NLTXZTBXgAAAAgkgiwAAAACiSALAACAQCLIAgAAIJAIsgAAAAgkgiwAAAACiSALAACAQCLIAgAAIJAIsgAAAAgkgiwAAAACiSALAACAQCLIAgAAIJAIsgAAAAgkgiwAAAACiSALAACAQCLIAgAAIJAIsgAAAAgkgiwAAAACiSALAACAQCLIAgAAIJAIsgAAAAikuAiyDz30kCUkJERcypUrF+tmAQAAII7lszhRq1YtmzJlSuh63rx5Y9oeAAAAxLe4CbL58uWjCgsAAIDgBdmVK1da+fLlLTEx0Ro3bmyPPfaYVatWLdl19+/f7y6+HTt2ZGNLzRb+vtXu+HBJpm3v7+4UZgn+v91PXf97ueeZHfY88zzP8uf9uzeIlnnm2RH91O/cQvefu32ePAlu+WGt8L/tup+hO/3/f/v3aWH36/87/H6OeJ77jdrg/e+6tq6fkjchwfLmSXD3qYuW5knQJeF/7Q/dtftfPtdG/7H9fX9aV9v5X3NT5LdLP3Wf4dfD26T70DbTsx1/vfDt+Ps2vduR1NYDACCIerY8yTrUK2/xJi6CrILrW2+9Zaeccopt2LDBBg8ebE2bNrXly5dbqVKlkqw/ZMgQGzRokMXK/oOH7be/9sTs/gEAALLTtj0HLB4leCo5xZndu3fbiSeeaHfffbf169cvXRXZihUr2vbt261YsWJZ3r7tew/ayg07M2Vbf1f9/r/yF6rshSqCf1c1/Yrq/1dYI6u2fhVWP/3qqW6bL+/fy/xtufv0K7hRlUT/PsOXq7ro34/aoW0fOnIkyXLXNs+zI0fUDlUw87jfH1F11vNC1Vp/+265NpbwdyVXj0/t8tv+d/U35cqm//j/3lbYsrAKt7+/UjvCU9uO/udXV/3HkVqb/P3wv6cIAIAco1rpwlb+2ELZcl/KdcWLF09XrouLimy0woULW506dVx3g+So+4EusVK8UH5rWKVkzO4fAAAAcTL9VjRVW3/88Uc7/vjjY90UAAAAxKm4CLJ33nmnzZgxw1atWmVz5861yy67zJWVu3XrFuumAQAAIE7FRdeCtWvX2lVXXWWbN2+20qVL25lnnmlz5syxypUrx7ppAAAAiFNxEWRHjx4d6yYAAAAgYOKiawEAAACQUQRZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgxV2QHTJkiCUkJFjfvn1j3RQAAADEsbgKsvPnz7cRI0ZY3bp1Y90UAAAAxLm4CbK7du2yLl262MiRI61EiRKxbg4AAADiXNwE2Z49e1q7du3svPPOi3VTAAAAEAD5LA6MHj3aFi1a5LoWpMf+/fvdxbdjx44sbB0AAADiUcwrsmvWrLE+ffrYO++8YwULFkz3gLDixYuHLhUrVszydgIAACC+JHie58WyAePHj7dOnTpZ3rx5Q8sOHz7sZi7IkyePq7yG/y6liqzC7Pbt261YsWLZ2n4AAABkHuU6FSrTk+ti3rWgVatWtmzZsohl1113ndWoUcPuueeeJCFWEhMT3QUAAAC5V8yDbNGiRa127doRywoXLmylSpVKshwAAACImz6yAAAAQCArssmZPn16rJsAAACAOEdFFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABBJBFgAAAIFEkAUAAEAgEWQBAAAQSARZAAAABFK+f3LjgwcP2vr1623Pnj1WunRpK1myZOa1DAAAAMjMiuyuXbvs1VdftRYtWljx4sWtSpUqVrNmTRdkK1eubD169LD58+dndLMAAABA1gXZoUOHuuA6cuRIO/fcc23s2LG2ZMkSW7Fihc2ePdsGDhxohw4dsvPPP9/atGljK1euzFhrAAAAgHRK8DzPS+/Kl19+uT344INWp06dVNfbv3+/vf7661agQAG78cYbLavt2LHDVYe3b99uxYoVy/L7AwAAQOxzXYaCbLwiyAIAAOQMGcl1cTFrwfDhw61u3bqusbo0adLEvvjii1g3CwAAAHEs04PseeedZ9WqVcvQbSpUqGCPP/64LViwwF3U/7Zjx462fPnyzG4eAAAAcoh/NP1Wcjp16mSbN2/O0G06dOgQcf3RRx91Vdo5c+ZYrVq1MrmFAAAAyAkyPcj27NnzH93+8OHD9tFHH9nu3btdFwMAAAAgW4Ls0Vq2bJkLrvv27bMiRYrYuHHj3Py0Kc2KoEt4p2AAAADkLkcdZB9++OFUf69pujKievXqbk7abdu22ZgxY6xbt242Y8aMZMPskCFDbNCgQRluMwAAAHKOo55+q379+km+rnbVqlWWL18+O/HEE23RokX/eNCYtqNvEUtPRbZixYrMIwsAAJCLpt866ors4sWLk73j7t27uwFf/5TydXhYDZeYmOguAAAAyL0ytY+sUrO6HLRv3966du2a7tvdd9991rZtW1dV3blzp40ePdqmT59ukyZNyszmAQAAIAfJ9MFe6uOqUnBGbNiwwQXfdevWuVKyvhxBIfb888/P7OYBAAAgtwfZF154IUlXAAXRt99+29q0aZOhbb3++utH2wwAAADkUkcdZIcOHRpxPU+ePFa6dGk320D//v0zo20AAABA5gdZzVAAAAAAxEoedj0AAACCKNODrOZ/rVatWmZvFgAAAMjaWQs0h+zmzZsze7MAAABA1gbZnj17ZvYmAQAAgCToIwsAAIDcWZH94YcfbPXq1XbgwIGI5RdddNE/3TQAAACQ+UH2119/df1hly1bZgkJCe4LEUT/lsOHDx/tpgEAAICs61rQp08fq1q1qvt62WOOOcaWL19uM2fOtIYNG9r06dOPdrMAAABA1lZkZ8+ebVOnTnXf5qVv9dKlWbNmNmTIELv99ttt8eLFR7tpAAAAIOsqsuo6UKRIEffv4447zv7880/378qVK9uKFSuOdrMAAABA1lZka9eubUuXLnVfftC4cWN78sknrUCBAjZixAi+EAEAAADxG2Tvv/9+2717t/v34MGDrX379nb22WdbqVKl7IMPPsjMNgIAAABJJHj+dAOZYMuWLVaiRInQzAXZZceOHVa8eHHbvn27FStWLFvvGwAAALHJdRnqI6v5YlNTsmTJiBD7xx9/ZGTzAAAAQLplKMg2atTIevToYfPmzUtxHaXnkSNHuj60Y8eOzcjmAQAAgKzpI/vjjz/aY489Zm3atLH8+fO7OWPLly9vBQsWtK1bt7pv+dJ8slr+1FNPWdu2bTOyeQAAACBr+8ju27fPJk6caF9//bX99ttvtnfvXjcFV/369a1169auGpud6CMLAACQM2Qk12XqYK9YIcgCAADkDFk22AsAAACIFwRZAAAABBJBFgAAAIFEkAUAAEDuCLJdu3a1PXv2ZE1rAAAAgKwKsu+9957t2rUrdP3mm292c8iGO3jwYEY3CwAAAGRtkI2erev999+PCLIbNmywokWLZnSzAAAAQPb2kU1uGtoDBw78080CAAAA2T/YKyEhISs2CwAAAPyzIKt+sosWLQr1hSW4AgAAILvly+gNmjVrZgMHDrSdO3da/vz57dChQ3bfffe55Q0aNLDSpUtnTUsBAACAMAlecp1c02HlypW2cOFCV5nVz8WLF9u2bdtC1dnDhw9bPH4nLwAAAOJXRnJdhiuyvpNPPtldrrzyytCyVatW2YIFC1yoBQAAAOKyIhtPqMgCAADkDBnJdXxFLQAAAAKJIAsAAIBAIsgCAAAgkAiyAAAACCSCLAAAAAKJIAsAAIBAIsgCAAAgkAiyAAAACCSCLAAAAAKJIAsAAIBAIsgCAAAgkOIiyA4ZMsQaNWpkRYsWtTJlytjFF19sK1asiHWzAAAAEMfiIsjOmDHDevbsaXPmzLHJkyfboUOH7IILLrDdu3fHumkAAACIUwme53kWZzZt2uQqswq455xzTprr79ixw4oXL27bt2+3YsWKZUsbAQAAkPkykuvyWRxSw6VkyZLJ/n7//v3uEv6AAQAAkLvERdeCcCoQ9+vXz5o1a2a1a9dOsU+tkrp/qVixYra3EwAAALEVd10L1Ff2888/t2+++cYqVKiQ7oqswixdCwAAAIItsF0LevfubRMmTLCZM2emGGIlMTHRXQAAAJB7xUWQVVFYIXbcuHE2ffp0q1q1aqybBAAAgDiXL166E7z33nv2ySefuLlk169f75arrFyoUKFYNw8AAABxKC76yCYkJCS7fNSoUda9e/c0b8/0WwAAADlD4PrIxkGWBgAAQMDE3fRbAAAAQHoQZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCDFRZCdOXOmdejQwcqXL28JCQk2fvz4WDcJAAAAcS4uguzu3butXr169tJLL8W6KQAAAAiIfBYH2rZt6y4AAABAoIJsRu3fv99dfDt27IhpewAAAJBLuxZk1JAhQ6x48eKhS8WKFWPdJAAAAGSzQAbZ/v372/bt20OXNWvWxLpJAAAAyGaB7FqQmJjoLgAAAMi9AlmRBQAAAOKiIrtr1y77+eefQ9dXrVplS5YssZIlS1qlSpVi2jYAAADEp7gIsgsWLLCWLVuGrvfr18/97Natm73xxhsxbBkAAADiVVwE2RYtWpjnebFuBgAAAAKEPrIAAAAIJIIsAAAAAokgCwAAgEAiyAIAACCQCLIAAAAIJIIsAAAAAokgCwAAgEAiyAIAACCQCLIAAAAIJIIsAAAAAokgCwAAgEAiyAIAACCQCLIAAAAIJIIsAAAAAokgCwAAgEAiyAIAACCQ8lku4XmeHTp0yA4fPhzrpgAIqPz581vevHlj3QwAQG4KsgcOHLB169bZnj17Yt0UAAGWkJBgFSpUsCJFisS6KQCA3BBkjxw5YqtWrXJVlPLly1uBAgXcmxEAZPSszqZNm2zt2rV28sknU5kFgDiQLzdUYxVmK1asaMccc0ysmwMgwEqXLm2//fabHTx4kCALAHEg1wz2ypMn1zxUAFmEszkAEF9IdwAAAAgkgiwiVKlSxZ577rlcu1ceeOABu+mmm2LdjEB46aWX7KKLLop1MwAAuRhBNo5PYaZ26d69e5q3Hz9+vAWF+h2qzUuWLIlZGzZs2GDPP/+83XfffaFl2s/J7f82bdpEhH8tGz16dJJt1qpVy/3ujTfeyLJ2a0q5IUOGWI0aNaxQoUJWsmRJO/PMM23UqFERj+Piiy9Octvp06e79m3bti1ie0OHDrW6detawYIF7dhjj7W2bdvat99+G3HbHj162Pz58+2bb77JsscGAECuHuwVVJouzPfBBx/Ygw8+aCtWrAgtU2BB5nr99detSZMmLpiGU2gND4WSmJgYcV2DCbXOlVdeGVo2Z84cW79+vRUuXDhD7VDoVBseeuihdK2v9UaMGOEqpA0bNrQdO3bYggULbOvWrXY0I/P1GKZMmWJPPfWUtWrVym3v5ZdfthYtWthHH30UCsTaB1dffbW9+OKL1qxZM4s3GpCleV8BADkXFdk4Va5cudClePHirmoWvuy9996zE0880U0nVr16dXv77bdDt/WDWKdOndzt/Ou//PKLdezY0cqWLevmwWzUqJELLBmhCt4ZZ5zhwpkqdWeddZb9/vvvrqKqAXUKUOEUcipXruwCkoJVly5d3MhvBXFNYeQHxKpVq7qf9evXd21WaPJpnVNPPdVVB1V1HDZsWJJK7ocffmhnn322264e13//+19XLVSw02NVGNXUSalRRTW5U+UKbOH7XpcSJUpErKPHNWPGDFuzZk1o2b///W+3PF++rP28+Omnn9ptt91ml19+uduP9erVsxtuuMH69euX4W1pP3788cf21ltv2Y033hjanoKy9o2W7d69O7S+lqnyv3fv3hS3qef+ySeftGrVqrnnR9vTfURXhf/zn/+450uzizRt2jTig5v/OE8//XR3HGhbgwYNcl9y4tM2XnnlFXeM6/gcPHiwW66fZcqUsaJFi7r233vvvXbaaae5382cOdOFXX3gCHfHHXfYOeeck+H9BwDIXrkyyOqNdc+BQ9l+0f1mhnHjxlmfPn3cm+33339vN998s1133XU2bdo093sFOD8AqrLrX9+1a5ddeOGFLrwuXrzYWrdubR06dLDVq1en634VGlSNa968uS1dutRmz57t+pP6Yfm8885LUrnUdf/0vPqf/vDDD/bFF1/Yjz/+aMOHD7fjjjvOrTdv3jz3U21Tm8eOHeuujxw50gYMGGCPPvqou81jjz3mtvPmm29G3M/AgQPt/vvvt0WLFrngeNVVV9ndd9/tugp8/fXXLsSrqp0ShWztSwWpo6EPB9qffrv05RuqpF9//fWW1RSsp06dmmZQTw99QDrllFPccRFNx9tff/1lkydPDi3T/lLl03/+kqPnRceBnu/ly5fbv/71L7vmmmtc8A+n5/mZZ55xH4b0HIbvuy+//NLd5vbbb3fH0Kuvvuq6a+i4iD4OFGSXLVvmbv/uu++6dZ544glbuHChVapUybXDp7CqUBz+QVDH+TvvvOP+pgAA8S1Xdi3Ye/Cw1Xzwy2y/3x8ebm3HFPjnu/zpp5924VBVOFHlTaextbxly5au4imqmCrk+FQJ08WnSpVC8YQJE6xXr15p3q9OMW/fvt3at2/vqsGiSqlP1a5bbrnFnn32WVfF/O6771yfVz+UKjCr4uqHxfBT+H6bS5UqFdHmRx55xIWbSy65xF1XhdAPMt26dQutd+edd7ogKQr5CrKq8KliLKpQptZPVVVlfdDQl2ZE++yzz5J8k9M999zjAnU4BSeFPQUyVRy1j/zKX1bS/r7sssvcflOfXFUzFebUrzWtxxH9lc2qZIc/p+H85VrH51fmVRnXB5xoqt6qfQra6rYhCo7qV6vnMPw2Cpz+dVVN27VrZ/v27XMVWP1Oy/znXNvQsaEPKwqvPnV1CA/AnTt3ds+9H0r1Yearr75yH+p8+r2C9l133eWuf/755+6DyBVXXJHKXgcAxINcWZENOlUm/YDm03UtT41Chd74a9as6cKHQs1PP/2U7oqsBhEpQPuVXFU7w/vyqlqrSprCsX9qXcHaD6y33nqrO32vcKd2zJo1K9X7U4VRp+oVNNRW/6IArgprOA1MCq+OSp06dSKWbdy4McX78k+NKzRF02NQIA+/9OzZM8l6Cl4KSDpdrcee3mqsqobhj0/XVXmOXpYSPZ+qJuvDjAKbBq3p+dEHi7Qex2uvvWb/dC5VdRdI6euf9aFDYfT888+PeDzqupDac3j88ce7n/5zpmrqww8/HLENDTaL/urp6Iq6uieoK0y46Os6pn/++We3/0TPnUJsRvs2AwCyX66syBbKn9dVR2Nxv5klOkyompjWZO2qOOkUrSq3J510kgsgquTp28/SS5Urnd6dNGmSO3Wu08Y61axR8uqv27VrV7eOKqg6TR0+lZcqhKp8quKlLgQaSKRAqPYkR9/I5ncvaNy4ccTv9JXD4cIH9fj7IXqZv73k+F0c1MXArw77FGi0v9KiEK/Hrwrh3LlzQ4E+LepnGv74VO094YQT3H6ODucpUf9k9Q3WRafudWpcbVF12O9/nNzj0NethlO3AoXP5PgflNS3OdyWLVuS7DOfv8/1nOsxpTZgLrnn0L+9fqpPrF+ZDxf+4SO58Jnc30o49Z9V8Ndxq0rvxIkTXb9dAED8y5VBVm9smXGKP1Z0ilenZq+99trQMlU3w08JKxREnzZWX1FVnzQITFQ91CnhjFL3AF369+/vThcrsCrIiqqAtWvXdgOy1HcyOngo8KgNumhwlsK1gqxCsIS3WeFN4efXX391g6aykroBFCtWzIU4hbmjpSqsHo9OaUcPCEuJBiHpEn5d1e/0hOfUqrQSPjArPTRjgU7Pa2BVdD9ZdfFQ1w9VV32qqqriquMhpXYosKrqn1zXg/Rq0KCBq65mdJ9oIKT67yrU+6IHJPrHrR57hQoV3LEQfcYDABCfgpvmcjGFP5361Ju7qpoKHeqHGj4DgU7n+31EFSQUqhQCtJ4Cij/4KrUqZbRVq1aFRq+rL6mChfpLhgdqhWmFWlUVFerCpwlT/0SNOlc/zv3797s+m374VlVM66rSqzChKptma9DUUqpMKmSqoqvb+VNLHc2o/NQqmhqspg8I0fOt6j6jR7Wr+upXccPp8WzevNmNvM8uqqrreVbfWPWT1fOkDxkK5JrlISMU5jTFlvqiRk+/pb7U+l141VMfjlTF9PtMR1MoV/9lVYl1rGmaLm1PH7zUPSC8n3NqdOyob7amOdPsDHq+NOBQg7r82QmS07t3b9cFQV0OtH90FkG3U5vDqbuMjjdtS10YAADBQB/ZAFLQUv9UBQ2FQg2a0WnR8CmrVD3TKX+98fvVMk1yr0CrN3SFWb15Kwynl8KZ+tReeumlLiRpxgINEtOsCeHUp1XdFaL7iKrqqoClvpAaLa7uAf6XCCgYvvDCC+6xKCRrsJJfKVM/Tg3UUp9XVfX0b/90eWbS41F7osO9wrX6bIZfUps3VVXL7JznV8+jX0HV86JwqACrQU0ZnfrLn8pMXRJ0vGg7qpyrS4hmxYgO+e+//74LiqnRoCwFUX1pg4K+396MPIe6jT746JhW9wl9WNIgMk3tlhpV8nXMKUzrWFfI19mA6L7QCsZarjMC4R/MAADxLcHLrDmhYkgVHlVTNKJelbtwOu2pNy+9aSY3kAeZTyPMFQhVLQsS/SkoIPXt29fNeoDUaYCZKraqyuvvLyjUNUKV6/Apt0SBXAPlVHlOCa8nABDbXBeNrgXINOpzqwFB+hIEVeGCRtVIdZ3QqWek7c8//3SzD8RziNWMBvqSBFV0dQZAFWR1wQmfC1cvlJprWTNDfPLJJzFtLwAgYwiyyDTqZqCgoNPP2fFFAFkheq5dpOyCCy4IxIcTzUKgvq/q66zBX2PGjHH9oX3qxqIBYeoiEz6QDQAQ/+haAADpRNcCAIivrgUM9gIAAEAgEWQBAAAQSLkmyOaAyRkAxBivIwAQX3J8kPW/9jKl74IHgPTyv845+iuSAQCxkeNnLdAbzrHHHmsbN24MTeof/d3rAJAWfVHGpk2b3GtIRr9oAgCQNXLFq7EmPxc/zALA0dA3gFWqVIkPwwAQJ3JFkFUFVl8rWqZMGTt48GCsmwMgoPQ1ywqzAID4EDdBdtiwYfbUU0/ZunXrrFatWvbcc8+573jP7G4G9G0DAADIGeKitPDBBx+477cfMGCALV682AXYtm3b2urVq2PdNAAAAMSpuPhmr8aNG1uDBg1s+PDhoWWnnnqq+6rTIUOGZOo3QAAAACB+BeqbvTSdzcKFC5N8b7uuz5o1K2btAgAAQHyLeR/ZzZs32+HDh61s2bIRy3V9/fr1yd5m//797uJTYvcTPAAAAILLz3Pp6TQQ8yDri57bVY1Pab5XdTcYNGhQkuUVK1bMsvYBAAAg++zcudN1MYjrIHvccce5mQSiq6+a8zW6Suvr37+/9evXL2Ki8i1btlipUqWybX5HfVpQcF6zZg39csHxAl5bEBO8FyEnHi8qZirEli9fPs1188XDvIynn366TZ482Tp16hRarusdO3ZM9jaJiYnuEk7f3hULOhDi+WBAfOF4AccKeG1BrBULQHZJqxIbN0FWVF3t2rWrNWzY0Jo0aWIjRoxwU2/dcsstsW4aAAAA4lRcBNnOnTvbX3/9ZQ8//LD7QoTatWvbxIkTrXLlyrFuGgAAAOJUXARZue2229wlKNS1YeDAgUm6OAAcL+C1BbwXIR4l5sDsEhdfiAAAAABkVMy/EAEAAAA4GgRZAAAABBJBFgAAAIFEkD0Kw4YNs6pVq1rBggXdHLhff/115j8ziCszZ860Dh06uMmZ9aUb48ePj/i9upo/9NBD7veFChWyFi1a2PLlyyPW0dcq9+7d230JSOHChe2iiy6ytWvXRqyzdetWNxWd5s/TRf/etm1btjxGZB59+2CjRo2saNGiVqZMGbv44ottxYoVEetwzECGDx9udevWDc3rqSkov/jiC44TpPu1JiEhwfr27Zt7jxkN9kL6jR492sufP783cuRI74cffvD69OnjFS5c2Pv999/ZjTnYxIkTvQEDBnhjxozR4Ehv3LhxEb9//PHHvaJFi7rfL1u2zOvcubN3/PHHezt27Aitc8stt3gnnHCCN3nyZG/RokVey5YtvXr16nmHDh0KrdOmTRuvdu3a3qxZs9xF/27fvn22Plb8c61bt/ZGjRrlff/9996SJUu8du3aeZUqVfJ27doVWodjBjJhwgTv888/91asWOEu9913n3uP0bHDcYLUzJs3z6tSpYpXt25dl0Vy62sLQTaDzjjjDHcAhKtRo4Z37733ZubzgjgWHWSPHDnilStXzr14+Pbt2+cVL17ce+WVV9z1bdu2uTcnfRDy/fHHH16ePHm8SZMmuev6YKRtz5kzJ7TO7Nmz3bKffvopmx4dssLGjRvd8zhjxgx3nWMGqSlRooT32muvcZwgRTt37vROPvlkF0SbN28eCrK58bWFrgUZcODAAVu4cKFdcMEFEct1fdasWZldLEdArFq1ytavXx9xXGiOvubNm4eOCx03Bw8ejFhHp3305R/+OrNnz3anbxo3bhxa58wzz3TLOL6Cbfv27e5nyZIl3U+OGSTn8OHDNnr0aNu9e7frYsBxgpT07NnT2rVrZ+edd17E8tx4zMTNFyIEwebNm90LTdmyZSOW67oOHORO/nOf3HHx+++/h9YpUKCAlShRIsk6/u31U/0po2kZx1dwqYivr+Fu1qyZe6MQjhmEW7ZsmQuu+/btsyJFiti4ceOsZs2aocDAawvC6cPOokWLbP78+Ul2TG58bSHIHgV1rI5+o4pehtznaI6L6HWSW5/jK9h69eplS5cutW+++SbJ7zhmINWrV7clS5a4gTRjxoyxbt262YwZMzhOkMSaNWusT58+9tVXX7kB5ynJTa8tdC3IAI3uy5s3b5JPIxs3bkzy6Qe5R7ly5dzP1I4LraOuKRoFmto6GzZsSLL9TZs2cXwFlEYFT5gwwaZNm2YVKlQILeeYQThVx0466SRr2LChG4Ver149e/755zlOkIS6Beh9QzMm5cuXz130oeeFF15w//bfT3LT+xFBNoMvNjp4Jk+eHLFc15s2bZrZzw0CQlOx6Y8+/LjQi4ReXPzjQsdN/vz5I9ZZt26dff/996F1dGpRfSnnzZsXWmfu3LluGcdXsKhqoUrs2LFjberUqe4YCccxg7SOH02PxHGCaK1atXJdUVTB9y8NGza0Ll26uH9Xq1Yt970fxXq0WVCn33r99dfdqL6+ffu66bd+++23WDcNWTxCdPHixe6iP5tnn33W/dufdk0jRDUqdOzYsW66k6uuuirZ6U4qVKjgTZkyxU13cu655yY73YmmUtHoUF3q1KkTl9OdIHW33nqrOx6mT5/urVu3LnTZs2dPaB2OGUj//v29mTNneqtWrfKWLl3qpt/S6PGvvvqK4wTp0jxs1oLc+NpCkD0KL7/8sle5cmWvQIECXoMGDUJT6iDnmjZtmguw0Zdu3bqFpjwZOHCgm/YkMTHRO+ecc9wLSLi9e/d6vXr18kqWLOkVKlTIvSCsXr06Yp2//vrL69Kli5sDUBf9e+vWrdn6WPHPJXes6KK5ZX0cM5Drr78+9H5SunRpr1WrVqEQy3GCowmyR3LZ+1GC/hfrqjAAAACQUfSRBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBQAAQCARZAEAABBIBFkAAAAEEkEWAAAAgUSQBYCjMH36dEtISLBt27bFZP9NnTrVatSoYUeOHMnW+/3ss8+sfv362X6/AJAcgiwApKFFixbWt2/fiGVNmza1devWWfHixWOy/+6++24bMGCA5cmTvS/j7du3dwH+vffey9b7BYDkEGQB4CgUKFDAypUr50Jddps1a5atXLnSLr/8couF6667zl588cWY3DcAhCPIAkAqunfvbjNmzLDnn3/ehVZdfvvttyRdC9544w079thj3an36tWr2zHHHGOXXXaZ7d692958802rUqWKlShRwnr37m2HDx8Obf/AgQOuunrCCSdY4cKFrXHjxm7bqRk9erRdcMEFVrBgwdCyX375xTp27Ghly5a1IkWKWKNGjWzKlClpPraLL744Ypkqz6pAp+aiiy6yefPm2a+//sqxAyCmCLIAkAoF2CZNmliPHj1cVwJdKlasmOy6e/bssRdeeMEFzUmTJrlAeskll9jEiRPd5e2337YRI0bYxx9/HFHd/Pbbb91tli5d6qqsbdq0cRXXlMycOdMaNmwYsWzXrl124YUXuvC6ePFia926tXXo0MFWr16d6c9v5cqVrUyZMvb1119n+rYBICPyZWhtAMhl1AdW3QhUYVVXgtQcPHjQhg8fbieeeKK7roqswuuGDRtclbRmzZrWsmVLmzZtmnXu3NlVUd9//31bu3atlS9f3t3mzjvvdCF41KhR9thjjyV7P6oI++v76tWr5y6+wYMH27hx42zChAnWq1cvy2yqIKsdABBLBFkAyCQKu36IFZ3mV5cChdjwZRs3bnT/XrRokXmeZ6ecckrEdvbv32+lSpVK8X727t0b0a1A1IVh0KBBrmvDn3/+aYcOHXLrZUVFVgoVKuQq0AAQSwRZAMgk+fPnj7iuPrTJLfOnrtLPvHnz2sKFC93PcOHhN9pxxx1nW7dujVh211132ZdffmlPP/20nXTSSS5oqiKsPrgp0YwHCtLRVeX02LJli5UuXTpd6wJAViHIAkAa1LUgfIBWZtF8rNquKrRnn312hm73ww8/RCxTf1UN3urUqVOoz2xap/4VRL///vuIZUuWLEkSvqPt27fPdYtQOwAglhjsBQBpUPeAuXPnumC4efPmTPsyAHUp6NKli1177bU2duxYW7Vqlc2fP9+eeOIJNzgsJRrI9c0330QsUxVW21AQ/e677+zqq69O0s7+/fu7+/Kde+65tmDBAnvrrbfc4LKBAwcmCbYvvfSStWrVKmLZnDlzLDEx0Q2CA4BYIsgCQBo0AEu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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(time_history, qc_history, label=\"Cavity coordinate $q_c(t)$\")\n", "plt.xlabel(\"time (a.u.)\")\n", "plt.ylabel(\"$q_c$ (a.u.)\")\n", "plt.title(\"Single-mode cavity response\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(tls_time_au, q_sho_au, label=\"SHO coordinate $q_{sho}(t)$\")\n", "plt.xlabel(\"time (a.u.)\")\n", "plt.ylabel(r\"$q_{\\rm{sho}}$ (a.u.)\")\n", "plt.title(\"SHO position dynamics\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(tls_time_au, energy_history, label=\"Total system (EM + SHO) energy\")\n", "plt.xlabel(\"time (a.u.)\")\n", "plt.ylabel(r\"$E$ (a.u.)\")\n", "plt.ylim(0, max(energy_history)*1.1)\n", "plt.title(\"Total system energy dynamics\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "58aa6740", "metadata": {}, "source": [ "## 6. Fourier analysis of the cavity coordinate\n", "\n", "For this model, the cavity is coupled to a single SHO with dipole $\\mu=\\mu_{0}\\,q$. Substituting the effective field $E(t)=-\\varepsilon q_{c}-(\\varepsilon^{2}/\\omega_{c}^{2})\\mu$ into the SHO equation $\\ddot q=-\\omega_{0}^{2} q+\\mu_{0} E$ together with the cavity equation $\\ddot q_{c}=-\\omega_{c}^{2} q_{c}-\\varepsilon\\mu$, we obtain a pair of linearly coupled oscillators\n", "\n", "$$\n", "\\begin{pmatrix}\\ddot q\\\\ \\ddot q_{c}\\end{pmatrix}\n", "=-\\underbrace{\\begin{pmatrix}\\omega_{0}^{2}+g_{0}^{2}/\\omega_{c}^{2} & g_{0}\\\\ g_{0} & \\omega_{c}^{2}\\end{pmatrix}}_{K}\\begin{pmatrix}q\\\\ q_{c}\\end{pmatrix},\\qquad g_{0}\\equiv\\varepsilon\\mu_{0}.\n", "$$\n", "\n", "The dipole self-energy contributes the diagonal shift $g_{0}^{2}/\\omega_{c}^{2}$ to the matter frequency. Diagonalizing $K$ yields the **exact** polariton eigenfrequencies\n", "\n", "$$\n", "\\Omega_{\\pm}^{2}=\\tfrac{1}{2}\\!\\left(\\omega_{0}^{2}+\\omega_{c}^{2}+\\tfrac{g_{0}^{2}}{\\omega_{c}^{2}}\\right)\\pm\\tfrac{1}{2}\\sqrt{\\!\\left(\\omega_{0}^{2}-\\omega_{c}^{2}+\\tfrac{g_{0}^{2}}{\\omega_{c}^{2}}\\right)^{2}+4 g_{0}^{2}},\n", "$$\n", "\n", "so the analytical Rabi splitting is $\\Omega_{\\rm Rabi}=\\Omega_{+}-\\Omega_{-}$. At resonance ($\\omega_{0}=\\omega_{c}\\equiv\\omega$) this simplifies to\n", "\n", "$$\n", "\\Omega_{\\pm}^{2}=\\omega^{2}+\\frac{g_{0}^{2}}{2\\omega^{2}}\\pm\\frac{g_{0}}{2\\omega^{2}}\\sqrt{g_{0}^{2}+4\\omega^{4}}.\n", "$$\n", "\n", "We compare this analytical prediction to the numerical Rabi splitting obtained by Fourier transforming the cavity-coordinate dynamics." ] }, { "cell_type": "code", "execution_count": 5, "id": "5298490a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "g_0 = epsilon * mu0 = 1.870e-03 a.u.\n", "Analytical lower / upper polariton: 0.238167 / 0.245894 a.u.\n", "Analytical Rabi splitting Omega_+ - Omega_- = 7.727273e-03 a.u.\n" ] }, { "data": { "image/png": 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Gnn322SJ7Xn+GTCwAgEqYzAhiQX3N9KWtVKlSBd4fGxtrs8/RcWzNmjWk1WqpZcuWNmNyUFurVi3RQqpDhw40f/58kb0t7OIRf/zxB7Vr107M3C9ZsiR17dqVbt68Kd/fq1cvWrx4sRfeneCATCwAgEoYzZbiPgUIsKb06UZzsTx3uE7j110StmzZQk2bNrXZd+7cOerTpw8988wzIlO6a9cuGjNmTKHH3LdvH3Xs2JGeeOIJ+vDDD0WQvHHjRtG/V9KsWTNRxpCZmUkGg4HUDkEsAIBKmDCRC1zAAWzd19YWy3t25I2uFKH3LER5+OGHbZroL1y4kHr37l3o+/PDk7ni4+Nt9s2ZM4eqV69O06dPFwF47dq16eDBg/Tuu+8Wasxp06aJwPjjjz+W99WrV8/mmIoVK4oAlldWS5BW3lMxBLEAAP4uLs6rmdjEyFgqEa7zypgA/oqDyU6dOsm37Zc3Lej+/HBNbFhYmM2+o0ePUosWLWwyyPblBgVlYvv161eola542VZAEAsA4N8iI4muXvXKUEZzNqXrw+iBSd/TxrHtvTImBC/+Sp8zosX13J7i+tUaNWq4fX9+4uLibGpVpfILT0gBan5u3LghLsuUKePRcwULTOwCAFAJU04mloNZgIJwRpG/0i+OzZ/rYVmjRo3oyJEjNvvq1q1L27dvt9lnf7ug7gO//vprvsccOnSIKlWqJIJoQBALAKAaxpyaWASxAJ7hrgGHDx+2ycbyhK6TJ0/S6NGj6dixY7Ro0SLRnaCwxo8fTzt37qRhw4bRgQMH6O+//xZ1tteuXZOP+f3336lLly74+HIgEwsA4M94adj27a2bh8vEcibWYMykjz4f45XxANSqQYMGYhLWt99+K++rUqUKLV++nH788Udq2LAhffLJJzRlypRCj8mtudatW0f79+8XXQi4nnbVqlWiSwHLyMiglStX0lNPPeWT1xSIMLELAMCfcfZ08+bc6x72iQ21WKjp6QNEvFImuhVAkCqoPrWw9av5HTdx4kQaO3asCCpDQ605wR49eohN4upysNwjlnvFOsKLKzRv3lxMHgMrBLEAAH7s080n6f+8NJYxG31iAbzlvvvuo+PHj9OFCxeocuXKPn9jdTodzZo1y+fPE0hQTgAA4Md+2HfBa2NhxS4A7xoxYkShA9hu3bpRVFSUw60wZQdPP/206D0LuZCJBQDwYyYP2/bYjIUVuyBIVa1alUaOHEn+pn379nJJwhdffCH6yzpivySuK0aOHClevxohiAUA8GPeDDxRTgDByl+DWPvVtnxhpJ+/bl9COQEAgEqWikU5AQAEk2INYrn/GTf3jYmJERu3k1izZo18/5AhQ0TDY+VmPyuP1xAePny4aPwbGRlJvXr1ovPnzxfDqwEA8E0mNk1nIFNYwav5FHbZWR7PEhHhhbMDAFBpEMurTrzzzju0a9cusd1zzz10//33iwbCknvvvZcuXrwobz///HOeNDr3TVuyZAlt3bqVUlJSRHsLs9lcDK8IAMC7UrRhVHf0clq2+W/rErQeZnV52Vke79qlGx6PBwCg2prYnj172tx+++23RXaWl2mrV6+e2GcwGMT6xo7cunVL9E37+uuvqVOnTmLfwoULxUzBDRs2iBU1AAACmVQC4I1VtpT1tVi1CwACnd/UxHLmlLOpqampoqxA2Si4bNmyYiULbih85coV+b7du3eT0Wi0WYItPj6e6tevT9u2bSvy1wAA4G2mnN6uWSbPg1hl4IogFgACXbF3Jzh48KAIWnk5Ne6VxqUBdevWlXuq9evXjxISEujUqVNidQwuOeDglTO0ly5dIr1eTyVLlrQZs1y5cuI+Z7iOljdJUlKSD18hAID7QrMy6cvlb1P1TZFEm34hCgvzKCA2mLJozsopFLe7FNGPqzwaDwBA1UEsN+7dt28fJSYmijWHBw8eTJs3bxaB7IABA+TjOLvK6xRzQLt69Wrq06eP0zG5JxtPAnNm6tSpNHnyZK+/FgAAbxL9JU1muuffXUT/iq+sPF92Njvba+MBAKi6nIAzqTVq1BABKgeXDRs2pJkzZzo8tkKFCiKI5WXeGNfKZmVl0c2bN22O45IDzsY6M378eFFPK23nzp3z8qsCAPBeKYG3SN0JAMAz169fF6WOp0+fLvLFE7zRF7a9l8ZxNl7fvn3pgw8+oKAPYh1lHpRf9dv/0HDAycEsa9KkiVhLeP369fIx3MHg0KFD1KpVK6fPwaUIUlsvaQMA8DdmLwex3uw5C+BvDhw4IL6lLV26NIWFhYkJ4u+99x6ZTCavPxcn3Xhyur+vlNXeSbC6YsUKevPNN332vK+99pqYrO/rcs1iDWJfeeUV+v3338VfMlwbO2HCBDGR65FHHhGtssaOHUt//vmnuJ/38w8M94N94IEHxONjY2Np6NChNGbMGPr1119p79699Oijj1KDBg3kbgUAAIHK25OvsOwsBCsuQ+Q+8uHh4bRq1Srav38/jRs3jv73v/+JwDbbi3/A8dKx3BnpySefpEBVqlQpio6O9tn4vAYAB/jffPMNBW0Qe/nyZRo0aJCoi+3YsSPt2LGDfvnlF+rcuTNpNBoR2HLfWO5MwLWyfMlBrfKNnz59OvXu3Zv69+9PrVu3poiICPrxxx/F4wEAApm3M7FGZGIhCHF3o8cff1wEqxw0tWnTRsQVHDds3LhRxBXz5s3z2vPxokxardamkxI/Bz9viRIlRCaY+9WfPHkyT1b0hRdeEME1B5FcEjlp0iSbYwozjuSrr74Sx9h/e/3ggw/SY489JhaM4uCeSzSlBaOk8gf7DC0H+e+++64o7+Rvq6tUqSIyqa6ekxIvPrV48WIK2iCW/5LhN5Q/AK5j5d6uHMAy/mtq7dq1Yj/XvZ45c4bmz58vesAq8VcGs2bNEqUGaWlpIoC1PwYAIBB5u4YVmVhwS2qq8y0jo/DHpqcX7lgX/fXXX6KD0YsvvpjnPp4kft9999HSpUvJW7Zs2SLm8Shxe9DRo0fTzp07xTfDoaGh4ltj+wzwggULxOqinLSbNm0avfHGGzYlkYUdh/Xr108E8D/88IO879q1a/TTTz+JoJ6DVw60uT2ptGCUs/iI5wpxEMtdoI4cOUKLFi2S5xa5ck5KzZo1E5+NsxLRoOhOAAAARZSJxcQucEdUlPP77ruPaPXq3NtlyxKlpTk+tl07bv6ee5vrSa9dy3scd+VwAQewrGbNmg7v529xucTAWzj5xj3p7bOf9kk6nvjFASF3V1J+zf7666/L5zt79mwRGEoJvMKOIyX7Bg4cKLLMHNAyzkTzaqicaeXMK0+e52+onS0axZKTk0XAy+fC2Wt22223ieyrq+ekVLFiRRHAcstTnpSvioldAACQWxPLy8RWfeknenrBTq8tO8vjrd7/H5adhaAgTc6+ceOGw/u5g5GzCdz8DS9vrtbE8rfASvz1OgeU1atXF89VrVo1sf/s2bM2x3EQq8QT1ZWLOBV2HMlTTz1F69atowsXLojbHNByGUF+bUbtHT16VASbXNbpiKvnpAyyGX9L7ivIxAIABEAmNgvLzkJxSUlxfp/9/BNFQJZHqF3ezEvtqfgrc+5UxOWEzz77rM19/HU7B3n59ZZ3FU8wt2/tyRPP+av6zz//XGRp+at2zlJyOaQSn6cSB5vKr+ULO46kUaNGojUp18d27dpVzCXi98EVUrDpjKvnJJH+qChTpgz5CoJYAAA/pWyJ5Y1lZ5WBMJadhUJz5RsAXx2bD55sxBOm3nrrLTEZXPlVP0/+5jkzo0aNsglsuUWnMtCaMWOGuOQVQQuaGM6B48KFC+XbPD5nMz/99FNq27at2Ld161aXX4e74zz55JPidXI2ljszKeteuZyAX29+uKyBA1kua7DvuODJa+N2p1zawEG/ryCIBQDwU1zDysvEfvDT+1QqQk806GfPlp01Z8vjNdgZS7R6OZadhYDHLTk5iN2+fTt16NBBzIhv3Lix6BHLrTs5AJOCOQ5QeeOVQplUSsBfwRcWZzx5IhRnY3nZe944kP7ss89EeQB/zf7yyy+7/DrcHeeRRx4RLUk5U8oZWSVuc8WTyLiONyoqSnRF4IlZSlwa8dJLL4muCfw+caenq1ev0uHDh8UEMXdfG7dQ7dKlC/kSamIBAPy4nICXie1+7A9quXejR8vEZmdbiKsTpPGq/PYzlp2FoMC9YHni0B9//EH//PMPffjhh2I/B2VGo5GeeOIJEYB5a3VO7kXP3Qm+/fZbcZuDwiVLlogsLn/NzllfDqBd5e44MTExYvIVB6ncclSJg1sO2rlLA3+t76yOlbsScM99XqSgTp06NGDAAFGr6+45ZWRk0MqVK0XNri+FWMTi3OrGK0rwwgm8BC1W7wIAf7H37E0aOOM3Ojq9b25toptfwWaazFT71V8oPCvDK+NB8OHAg2f688Qd+4lLYOvnn38WASJ/ZW6f2SwOnTt3FsGnFMAXt48++kh0hOB6ZHd+3gobl6GcAABABS220CMWIG9NrL3C1MQy7j17/PhxUYdanL3pb9y4IQLF3377TbTI8hc8gY17+PsaglgAAD/lzb6uCGIBrJQ1sZ4YMWJEsb+ljRs3FrW5vFABr1LmL55++ukieR4EsQAAKsjEYslZgOBz2kttygJV8RdyAACAzwNPZGIBINggiAUA8FNmL5YToC8sAAQblBMAAPgpsUyszkB1Rn1HOk0IHYiI8GAsa0AsjfdI88r0qgfjAQAUNwSxAAB+SgSeISGUrg+jdO71yn1eQ9wcS1qtK2e8NH24uA4AEKhQTgAA4Kfs61iVy8Z62unA6IVlbCE4oX08BMrPGTKxAAB+nInVm4w0Za21/6NxfDsKi41ycyxr0CqNV+XPCKJey4gMBq+eMwQu7u3J0tLSKDw8vLhPB4JcWlqazc+dOxDEAgD4KS4B0GSbqe+hX8Xt6xlZRLGeZWKV45HJhCAWbPqnlihRQiw3yiIiIigEJSfggwwsB7D8c8Y/b4VZXMIZBLEAAH5KmozljQ4Dck0sQD7Kly8vLqVAFsBXOICVft7chSAWAMBP2QeeWR7UsdoHxACOcOa1QoUKVLZsWTIajXiTwCe4hMCTDKwEQSwAgAoysegTC67gAMMbQQaAL6E7AQBAgASxmR6VEyATCwDBBUEsAICfMttnYj0qJ0BNLAAEFwSxAAB+yujFmlj7PrEAAIEONbEAAH6cieVlYhsP/0bcnqkP8zgTm6G3jlezbBQtxbKzABDAEMQCAPgpkT0NCaEbEdbmsEYPOgxImdhwvZZuUCxdj4jCsrMAENBQTgAAoIYWWzlBbITeOuMc3QoAINAVaxA7Z84cuuOOOygmJkZsLVu2pDVr1tis6jBp0iSKj48XS+C1b9+eDh8+bDNGZmYmDR8+nOLi4igyMpJ69epF58+fL4ZXAwDgm2Vn31g3R2zGtHQPxrIGwNEhZjHWCytm8C9QL54tAICKgthKlSrRO++8Q7t27RLbPffcQ/fff78cqE6bNo0++OADmj17Nu3cuVOs7NC5c2dKTk6Wxxg5ciStXLmSlixZQlu3bqWUlBTq0aMHmc3mYnxlAACe48CTl4l9bO9qsRkz3W8+L2VxozUkxnpw+w/WZWcBAAJUsQaxPXv2pPvuu49q1aoltrfffpuioqJo+/btIgs7Y8YMmjBhAvXp04fq169PCxYsEOvtLlq0SDz+1q1bNHfuXHr//fepU6dO1KhRI1q4cCEdPHiQNmzYUJwvDQDA6y22sjzpE5szVpgeUyEAIDj4TU0sZ045m5qamirKCk6dOkWXLl2iLl26yMcYDAZq164dbdu2TdzevXu3WBZPeQyXHnDAKx0DABCo7NtimTyqibU+NlznN7/2AQA8Uux/knPWlIPWjIwMkYXl0oC6devKQWi5cuVsjufbZ86cEdc5yNXr9VSyZMk8x/B9znAdLW+SpKQkL78qAAD/ysQquxMAAASDYv+TvHbt2rRv3z5RQvDss8/S4MGD6ciRI/L9ISEhNsdzmYH9PnsFHTN16lSKjY2Vt8qVK3vhlQAA+O9iB9LErnCttTsBAECgK/YgljOpNWrUoKZNm4rgsmHDhjRz5kwxiYvZZ1SvXLkiZ2f5mKysLLp586bTYxwZP368qKeVtnPnzvnktQEA+E1NrJyJ1TgdHwAgkBR7EOsoi8pf9VerVk0EqevXr5fv44B18+bN1KpVK3G7SZMmpNPpbI65ePEiHTp0SD7GEa6tldp6SRsAgL/XxHqnnCD31z56xQJAICvW4qhXXnmFunXrJr7O57ZZPLFr06ZN9Msvv4hyAG6fNWXKFKpZs6bY+HpERAQNHDhQPJ5LAYYOHUpjxoyh0qVLU6lSpWjs2LHUoEED0a0AACCQmbOzKUOnp15jvqYbqVnUJdTgcTmBNjKS2jwzV1xfozeQ+wvZAgCoOIi9fPkyDRo0SGRPOSDlhQ84gOVesGzcuHGUnp5Ow4YNEyUDzZs3p3Xr1lF0dLQ8xvTp00mr1VL//v3FsR07dqT58+eTRoO6LwAIbNwWyxISSrfKVaTz19Moy+KFZWfDdHQ+1lpuZbTkP78AAMCfFWsQyz1e88PZWF6xizdnwsLCaNasWWIDAAgmch2rTuOFZWetj9VrQyk0hIjLYe2XtQUACCTotQIA4Ke4BEBnNtIzP31Cl5Mz6Z/6L3kwljUgNphNNGHTPHE7a1RrohgUFABAYEIQCwDgpzjQ1JrN1PvXxeL2qMzRbo8lTeLSW8w0aPtycf10xhwvnSkAQNHzu+4EAABgW04gyfRCiy2tJvfXPsoJACCQIYgFAPBTUgmAV/rESt0JuCBWGi9nHwBAIEIQCwDgp+wzpUaT2ePuBDpFJtZsl+kFAAgkCGIBAAJlxS4vLDur1eRmYrHYAQAEMgSxAAB+ymj3db/9Cl5uZWJDQ71SngAAUNwQxAIA+Cn7r/u90SdWWRNrP3EMACCQoMUWAICfMmZbxLKzqxaupdm/nSBzqM7jSWKhkRH0/Ctf0bFLyfSyzv1lbAEAihuCWAAAP8XZU152Nqt2HTp+0EgVPfj2Xyon0Oo0dLHSbXTcfBPLzgJAQEM5AQCAn5Kyp5EGa74h0yvlBKGky5nchYldABDIEMQCAPgprlnlZWfrfPoBjdz6DVkyMz0OiPVmI/X/aa4Yz5SR4cWzBQAIgCD266+/ptatW1N8fDydOXNG7JsxYwatWrXK2+cHAKDqFlu87Gy1j/5HI/9YTJYso9tjSVlXncVMfX6cK8bLznR/PACAgAti58yZQ6NHj6b77ruPEhMTyWy2Nt8uUaKECGQBAMA3LbY8WrErpyZWo1yxCy22AEBNQeysWbPo888/pwkTJpBGo5H3N23alA4ePOjt8wMAUKXsbAtZLHkzs/YLILiciVWs2GW/IhgAQFAHsadOnaJGjRrl2W8wGCg1NdVb5wUAoGr2WVh5v5uBp/Q49IkFANUGsdWqVaN9+/bl2b9mzRqqW7eut84LAEDVnGVc3e1QIE3swopdAKDaPrEvvvgiPffcc5SRkUEWi4X++usvWrx4MU2dOpW++OIL35wlAIDKOFti1t1Vu6SaWG1Oey3lPgAAVQSxjz/+OJlMJho3bhylpaXRwIEDqWLFijRz5kx66KGHfHOWAAAq4ywT6+5kLKk8QaMMYp2ULAAABO2KXU899ZTYrl27RtnZ2VS2bFnvnxkAgIpJk66MOh3RX3/RQ5/+SZlanVuZWLNikpguIoLmvr+EVu3/j1p5sIwtAEBALzsbFxfnvTMBAIA8NayhWh3RXXfRP78kUnZqllsTu5SP0eq1dK1uQzpwJYqaYr0bAAj2IJa7EYSE5H4FlZ89e/Z4ek4AAKpnX8Oqz2mN5U4mVgqIpRZbUpstLDsLAEEfxPbu3Vu+zhO6Pv74Y9GJoGXLlmLf9u3b6fDhwzRs2DDfnSkAgIpI9aoGi4novffosT9O0PS63dzqTqDsB6s1GanZsrn09PGrlNboOa+eMwCA3wWxr7/+unz9ySefpBdeeIHefPPNPMecO3fO+2cIAKBCUvY0nLKJxo0jThHMqt3FrUysstOBxmyiNp9PozZENP7xp716zgAAft0ndtmyZfTYY4/l2f/oo4/S8uXLvXVeAACq5miZWHe7E0hZXZ0mxKY0DOUEAKCqIDY8PJy2bt2aZz/vCwsL89Z5AQComhx42gWxRrfKCXLqa0Ntf+WjxRYAqCqIHTlyJD377LP0/PPP08KFC8XG13kBhFGjRrk0Fi+QcNddd1F0dLRo08W1t8eOHbM5ZsiQISJzoNxatGhhc0xmZiYNHz5cdEuIjIykXr160fnz5119aQAAfldOoOzr6m4mVl5yNs9YWOwAAFTUYuvll1+m6tWri8UNFi1aJPbVqVOH5s+fT/3793dprM2bN4vglwNZXkBhwoQJ1KVLFzpy5IgIRiX33nsvzZs3T76t1+vzBNY//vgjLVmyhEqXLk1jxoyhHj160O7du0mj0bj6EgEAip2UPVUuE+tpdwKpK0Hufix2AAAq6xPLwaqrAasjv/zyi81tDlQ5I8vB59133y3vNxgMVL58eYdj3Lp1i+bOnUtff/01derUSezj7HDlypVpw4YN1LVrV4/PEwCgqEkBpsauvaF7E7tya2JtnsPN1b8AAAKynMCXOCBlpUqVstm/adMmEdzWqlVLrBR25coV+T4OeI1Go8jgSuLj46l+/fq0bdu2Ijx7AAAfTOyyy566NbHLSU2s0YRyAgBQUSY2NDQ034UPzGazWydisVho9OjR1KZNGxGASrp160b9+vWjhIQEOnXqFE2cOJHuueceEbxyhvbSpUuivKBkyZI245UrV07c5wjX0PImSUpKcuucAQB8nYm1GAxEGzfSzF+PU2ame8vOKrsTUFgY7fxyOb2//hgZNR4t2ggAUKxc/g22cuVKm9ucBd27dy8tWLCAJk+e7PaJ8OSwAwcO5Ol8MGDAAPk6B7dNmzYVAe3q1aupT58++QbFzoJtnlDmybkCAPialD0N1WmJ2rems1dKUvae825O7JJW/wrl1C6ltGpD248ZqL6lcCsxAgAERRB7//3359nXt29fqlevHi1dupSGDh3q8klwZ4EffviBtmzZQpUqVcr32AoVKogg9vjx4+I218pmZWXRzZs3bbKxXHLQqlUrh2OMHz9eZH2VmViuoQUA8BfyZKycEgC91oNlZ+VyghCbMaX9AACqrolt3ry5mEjlCs6WcgZ2xYoV9Ntvv1G1atUKfMz169fFymAczLImTZqQTqej9evXy8dcvHiRDh065DSI5TKEmJgYmw0AwB+DWL3FTPTRR9Rm7RLSmk3uTeySywlC+eszqrToSxq05ycyZ2V5/bwBAIqKVwqi0tPTadasWQVmUe1xey1u07Vq1SrRK1aqYY2NjRWLKqSkpNCkSZPowQcfFEHr6dOn6ZVXXhH9YB944AH5WM7+clstbq/Fk8LGjh1LDRo0kLsVAAAEGqlzQJjFxPVW1J2Ixo76zq1VtuRMLNfEZmVR1UkvES8c3vnuHl4/bwAAvw1i+St7Za0pZ1OTk5MpIiJCtLZyxZw5c8Rl+/bt87Ta4kUOuMfrwYMH6auvvqLExEQRyHbo0EGULXDQK5k+fTpptVrR9osD6o4dO4q+tegRCwABv9iB3YpdmW6VE0irf9n1iUU5AQCoKYjlgFEZxHK3gjJlyohyAvsOAQXhADg/nI1du3ZtgePwcrecCeYNACAY5GZPPW+xZcwJiO1X7HInqwsAELBBLLe34klQjmb+nz17lqpUqeKtcwMAUC1zTh2r1guLHUiZWPuA2OReR0QAgMCc2MWTr65evepwwlVhJmYBAICLbbG8tWKXXWkCMrEAoKog1lkJAE/C4q/1AQDAc2apBMALgWduQIwgFgBUWE4g9VXlMoLXXntNTORSrtK1Y8cOuvPOO31zlgAAKiO1xbKf2OXNcgIObvNbGAYAICiCWF6Vi/EvPO4YwEu9Svh6w4YNRWsrAADwnDknexoSpif66SfadvIaZZ3XuTWxK3fhhBBulE2py7+n5xfvpSytTtwnlqMFAAjWIHbjxo3i8vHHH6eZM2digQAAAB+SOgqE6vRE3bvTjQP/kXnRXrdabNnU12q1YryNf2nl8gSxCAIAQLB3J+AergAAUDTdCaRyAn1OoOneYgfSil05y84qglYpwAUACMogtk+fPmLxAF6ela/nh5eQBQAA7/SJNfCKXfPnU5WLSaQ1J7i57Kw0Scy67Kxu4ULqe/AAfV+3PToUAEBwB7G8tKtU+M/XAQDAt6Q6Vn22meu46HbOoI76zsOJXdZlZ0OeeIL+R0Sra7fBql0AENxBrLKEAOUEAAC+ZxN4Kng0sctB7St6xQJAoEI1PwCAH5ICT40XVuySAlX7nrNiPCw9CwDBnIlt1KhRofsI7tmzx9NzAgBQPakm1j576t7ELserfynvAwAIyiC2d+/evj8TAADIm4m1y56602LLlO142VmGcgIACOog9vXXX/f9mQAAQJ7A074EwL1yAueZWASxAKCaPrGSXbt20dGjR0WZQZ06dahJkybePTMAABWTSwDsg1hztstLxdr3iVVCn1gAUE0Qe/78eXr44Yfpjz/+oBIlSoh9iYmJ1KpVK1q8eDFVrlzZF+cJAKDKTGxIWBjRt99SaqaJsg7oyGIhl5eKze0Ta112lsd786cjYtlZZGIBQDXdCZ544gkyGo0iC3vjxg2x8XXODAwdOtQ3ZwkAoNZMrEFH1K8fhfTvR+ZQjdjnauApZ2K1OcvO9utH25vcI8ZDEAsAqsnE/v7777Rt2zaqXbu2vI+vz5o1i1q3bu3t8wMAUPnErlCbZWelutgIvRudDnLGEtflZWzRnQAAVBLEVqlSRWRi7ZlMJqpYsaK3zgsAQNWkcgK9xUy0bJn4Za2zGMgYonF5cpdcTsAlCCYT0cqV1HbfMTpY8g45SwsAEPTlBNOmTaPhw4eLiV1cQsD4+ogRI+h//+OFDAEAwFNy9tRkJOrfX2yRHNC60WYrd/WvUKLMTDHWmC8mkt5kxGIHAKCeTOyQIUMoLS2NmjdvTlqurcrJwvJ1rpflTcL1sgAA4H45gVZRAqDnmtZs11fZyi0nQHcCAFBxEDtjxgzfnAkAADioic3dp9eGEGW5PrHLKPWcdbhiF8oJAEAlQezgwYN9cyYAAOCgBCA3eypN7nK1JjZ32Vms2AUAwcPtxQ6uXLkituycv/Ald9xxhzfOCwBA1cwOyglEiyyyuD6xS2qxpRgr9z50JwAAlQSxu3fvFtlYqTesEq8gYzZbJx4AAID7jI4ysSIINbueiVV2J3DyPAAAQR/EPv7441SrVi2aO3culStXzqWlDwEAwNVMbIhdJtbs8sQuOROLIBYA1Nxi69SpU6LNFncnqFq1KiUkJNhsrpg6dSrdddddFB0dTWXLlqXevXvTsWPHbI7hbO+kSZMoPj6ewsPDqX379nT48GGbYzIzM0Xbr7i4OIqMjKRevXqJ5XEBAAKV9DV/KC87O2+e2ELDDJ7VxHImV68XYy0f/iYZNVqUEwCAeoLYjh070v79+73y5Js3b6bnnnuOtm/fTuvXrxeturp06UKpqanyMRwwf/DBBzR79mzauXMnlS9fnjp37kzJycnyMSNHjqSVK1fSkiVLaOvWrZSSkkI9evRAaQMABH4m1qDn3oZi03AAykGsm5lYUU6g04mxDnV+gEwiiEU5AQCopJzgiy++EDWxhw4dovr165OOfyEqcBa0sH755Reb2/PmzRMZWa67vfvuu0UWllt6TZgwgfr06SOOWbBggShjWLRoEf3f//0f3bp1S5Q2fP3119SpUydxzMKFC6ly5cq0YcMG6tq1q6svEQDAb1bssqmJFeUEbmRicwJiaalZ5XXpPgCAoA9it23bJrKda9asyXOfpxO7OCBlpUqVkksXLl26JLKzEoPBQO3atRPnwUEsB7y8DK7yGC494ACbj3EUxHL5AW+SpKQkt88ZAMAX5MlY2Wai1avF9TCy/m50tzuBqK/lZWfXrqXau8+RJjve5bEAAAK2nOCFF16gQYMG0cWLF0V7LeXmSQDLWdfRo0dTmzZtRADKOIBlnHlV4tvSfXyp1+upZMmSTo9xVIsbGxsrb5y1BQDwJ/IqW0YjUY8eYovIWXbW1RIAeSxp2dkePejB158Vy86inAAAVBPEXr9+nUaNGpUnsPTU888/TwcOHKDFixfnuc++AwIHvAV1RcjvmPHjx4usr7SdO3fOw7MHAPBNOYEmNG85QabL5QR5SxPk+9AnFgDUEsRyberGjRu9ehLcWeCHH34Q41aqVEnez5O4mH1GlRdZkIJoPiYrK4tu3rzp9Bh7XJIQExNjswEA+BOb7GkO6borE7v4D3qp04Fy4QQJMrEAoJqaWO4Ry5lMrott0KBBnoldXG7gyi9XDmC5s8CmTZuoWrVqNvfzbQ5SuXNBo0aNxD4OWLmrwbvvvituN2nSRJwDH9O/f3+xj0sdeOIZdzYAAAg0/LtRqokNtekTa73uSh2r1OVAPJ4zsXbzuIyY2AUAaupOEBUVJQJJ3pT463tXglhur8VdBlatWiV6xUoZV65T5Z6wPB63z5oyZQrVrFlTbHw9IiKCBg4cKB87dOhQGjNmDJUuXVpMChs7dqwIsKVuBQAAgSRP4JlDL2ViXQhild0HtPx4k+39RkzsAgC1BLHcMcBb5syZIy55AQP7VltDuC8iEY0bN47S09Np2LBhomSAF1lYt26dCHol06dPJ61WKzKxfCz3sp0/fz5pNBqvnSsAQFFRBp7KmlhDTk2sKyUAymOVq385uh8AIKiDWG9/ZVYQzsbyil28ORMWFkazZs0SGwBAMAWxNjWxbvSJVU7cUo4lQTkBAKgqiOUlXXki1tmzZ0WNqhKvrgUAAO4zKbOnvNTs7NniusaQs+ysK5nYnM4E3KxFZHV51a/Zs+nA+VtkNGlRTgAA6glif/31V7EqF0+6OnbsmOjpevr0aZFVbdy4sW/OEgBAreUEvOzsc8+J69rNJ11usSV3OZA6E/Bk3Oeeo/8OXSTTwj0oJwAA9bTY4s4EPImKZ//z1/jLly8XfVZ5Fa1+/fr55iwBAFRECjy5hlXZ71qa2CW1zHJpLLsesVK7LZQTAIBqgtijR4/S4MGDxXWeTMUTqbhbwRtvvCG3vQIAAC8tdMArIW7aJDZDiDUgzTKZXS4nkOthc8aL2/0nhWabUU4AAOoJYiMjIymTly0kovj4eDp50vr1Frt27Zp3zw4AQO0LHWRkEHXoILawbKPbE7vkVl0549352ANkMBnlgBkAIOhrYlu0aEF//PEH1a1bl7p37y5KCw4ePEgrVqwQ9wEAgHdqYpXttWz6xLrRYsvRal2uliYAAAR0EMvdB1JSUsR1bnvF15cuXUo1atQQ/VoBAMAzUnZUudCBp4sd2NfESlwZCwAgoIPY6tWry9d55ayPP/7Y2+cEAKBqUgmAfSZWCmqzXJrYZVcTa38/ygkAQC01sQAA4Fty9tSuBEDvxmIHUrmAo9W6lPcDAAQaBLEAAH7GnJMdtS8ByA1iC9+dQMq0ap1kYrHsLAAEKgSxAAB+xln2VOfGxK483QnyPBdqYgFARcvOAgCA75iV5QS8wta0aeK2npegdbmcQOpOkBPE5oyXnGEkU5KGslFOAAABCkEsAICfkQNPzp7q9UQvvihu6y4nu1zHKmd1pXKCnPGyUjLJ+NYGomwLZWdbKNRJzSwAQEAHsaNHj3apBRcAAHgjE+uNFluO23XpcuprpVW9DKEafGQAEHxB7N69ews1mHKNbwAAcI9N9pSXid2zR9zWVa/jQXcCxbKze/aQ3mgWy85mh2pE3awB38sBQIAp1K+tjRs3+v5MAADAJhMr+sTyMrHNmonb+ovX5YldFoulUImD3D6ximVnmzWjMCIyjPqO0vUaTO4CgICE7gQAAIGyYpeyBKCQdbFGJz1nmRQDu9LtAADAX7j1BdLOnTtp2bJldPbsWcrKyrK5b8WKFd46NwAAla/YZRt4GhRBLAeeyqDW+ViOe84yXc740vMBAAR1JnbJkiXUunVrOnLkCK1cuZKMRqO4/ttvv1FsbKxvzhIAQI2ZWCd9Yl2pi83tE5v3172U6UWvWABQRRA7ZcoUmj59Ov3000+k1+tp5syZdPToUerfvz9VqVLFN2cJAKDCZWdFTawC35b2FTaI5c4Dzpad1eZkcrH0LAAEIpeD2JMnT1L37t3FdYPBQKmpqWJywahRo+izzz7zxTkCAKhKftlTV9tsSWM5WnZWCmyRiQUAVQSxpUqVouRka8PtihUr0qFDh8T1xMRESktL8/4ZAgCoebEDO5EGaz/XlExTocbK051AQY9yAgBQ08Sutm3b0vr166lBgwaihGDEiBGiHpb3dezY0TdnCQCg1hZbvEzs669b79DpqESEnq6lZFFimu2k2kJ3J7AZT0+UbkQ5AQCoI4idPXs2ZXCfQSIaP3486XQ62rp1K/Xp04cmTpzoi3MEAFBlTazoHsDLxE6aJN9XMkInLhPTje5lYhXjhby/icNclBMAQPAHsSaTiX788Ufq2rWruB0aGkrjxo0TGwAAeLnFloMSAM7EspuFzcTKNbEOWmzl1MmixRYABH1NrFarpWeffZYyMzN9d0YAACpn02KLrx8+bN2ys6lEeE4mNq2QmVi5O0HOr3vFePqcuBYTuwBAFRO7mjdvTnv37vXKk2/ZsoV69uxJ8fHxosPB999/b3P/kCFDxH7l1qJFC5tjOKAePnw4xcXFUWRkJPXq1YvOnz/vlfMDACjeFluhROnpRPXrW7f0dCoZmZOJTc1ysdNBTsSqGC8y2zoGVuwCAFXUxA4bNozGjBkjAsUmTZqIwFHpjjvuKPRY3J6rYcOG9Pjjj9ODDz7o8Jh7772X5s2bJ9/m3rRKI0eOFCUOvAhD6dKlxbn16NGDdu/eTRqNdRYvAEAgya+jQImcmtibhczEGvNrsYVyAgBQUxA7YMAAcfnCCy/I+zhDarFYxKXZbC70WN26dRNbfrgXbfny5R3ed+vWLZo7dy59/fXX1KlTJ7Fv4cKFVLlyZdqwYYNcuwsAEAyLHbCSOTWxhe1OIJcm5NNzFuUEAKCKIPbUqVNUlDZt2kRly5alEiVKULt27ejtt98WtxlnW3nZ2y5dusjHc2lC/fr1adu2bU6DWC5BUNb1JiUlFcErAQAgjxcokLoTFHZiV55yAgVpshfKCQBAFUHsmTNnqFWrVmKSl33nAg4cExISvHZynKXt16+fGJODZ27hdc8994jglTO0ly5dEuUFJUuWtHlcuXLlxH3OTJ06lSZPnuy18wQA8EUm1tFSsVJ3gsK22JIXTpAmdimgnAAAVDWxq0OHDnTjxg2HX+3zfd7EpQu8xC1nVnkC2Jo1a+iff/6h1atX5/s4qbTBGe5vy+crbefOnfPqeQMAeKMm1lFbrNxygsJ2J3DeYkufE9iinAAAVBHEOgsQr1+/nmeSl7dVqFBBZGWPHz8ubnOtbFZWFt28edPmuCtXrohsrDOcxY2JibHZAAD8bcUux5lYqcVWFmXnHJcfKUDNr5wAQSwABHU5Aa/IxTiA5dZXHAhKeDLXgQMHRJmBL3GgzFlTDmYZd0fgFcN4yVteApddvHiRDh06RNOmTfPpuQAA+IrNUrG8TOzYsbnLzhqsXVf4kOQME8XmBLUF1tcql53NGS/UoLfpYAAAEJRBbGxsrJyJjY6OpvDwcPk+rkvl/q1PPfWUS0+ekpJCJ06ckG9z3eu+ffuoVKlSYps0aZJovcVB6+nTp+mVV14R/WAfeOAB+ZyGDh0q2mpxey1+zNixY6lBgwZytwIAgEBjlhYo4EwptxV87z35Pk4fROg1lJZlFpO7Cgxisx0sO5szXuiKg+ISmVgACOogVurVWrVqVXrxxRcpIiLC4yfftWuXTR3t6NGjxeXgwYNpzpw5dPDgQfrqq68oMTFRBLJ87NKlS0UQLZk+fbqYZMaZ2PT0dOrYsSPNnz8fPWIBIGDJvV0dTMaS6mLTstJFEFuVIt0eSwpspRpcAICg7k7w2GOP0YULF6hmzZo2+7lOlb/a5yC3sNq3by8yu86sXbu2wDHCwsJo1qxZYgMACLqaWM6knj1rvaNKFaLQUFEXeyExvVCTu+RlZ6VMrGI8Xc6uLJQTAIAaJnZxPSy30rK3Y8cOcR8AAHhGbovFgScvE1utmnXj68oOBekF94o1mqQ+sTm/7hXjhZut/bKRiQUAVQSxe/fupdatW+fZzzWxXM8KAADeycQ6WrHLZunZ1IIzsUYpE+tgLCmwRU0sAKgiiOXuBMnJyXn2c79VV5acBQCAglbZcvwrWtlmy5PVv3Q5dbIoJwAAVQSxbdu2FSteKQNWvs772rRp4+3zAwBQHamO1VkmVionuFmYmth8+sSG66ztutKzTB6dLwBAQEzs4v6rd999N9WuXVsEtOz333+npKQk+u2333xxjgAAqiKtsuUo8FQuPcvdCVzqOWsnOtz6v4CkDASxAKCCTGzdunXFwgbc0opXxuLSAu5Y8Pfff4vlYQEAwNcttqRyAs8ysdEG6zjJGYVbwhYAIKAzsSw+Pp6mTJni/bMBAIDcxQ4KLCfwrCY2KsxaTsArfwEAqCKI5fKBTz/9lP79919atmwZVaxYkb7++muqVq0a6mIBADxkE3hqtUTDhuX8xtbaTexyozuBYrzoSOvKi0npyMQCgArKCZYvX05du3YVy87u2bOHMjOtfQa5rADZWQAA79XEioldBgPRRx9ZN76u7BPrQiZW7nSgGC8q1rraFzKxAKCKIPatt96iTz75hD7//HOxQpekVatWIqgFAADP5FfHqszEpmaZKcvkfMlYXhFRCojlFbsUosOs46RkmSg75zgAgKANYo8dOya6E9iLiYmhxMREb50XAIBq2WRieWnuq1etW84y3TFhOpKqA/LLxkrjKHvCKseLNmjkXcmZqIsFgCAPYitUqEAnTpzIs3/r1q1UvXp1b50XAIBq5bbYCiVKSyMqW9a68XX+xR0aQrHhOat25VMXK5US2GRiFeOFGTNJr7X+bwAdCgAg6IPY//u//6MRI0bQjh07xOpd//33H33zzTc0duxYGiZNPgAAAI/LCZwtdlDYDgXSpC5n5QQsJsw6WQx1sQAQ9N0Jxo0bJ5aY7dChA2VkZIjSAoPBIILY559/3jdnCQCgxkysKAGwuL30rDITK5cT2OHShGspWehQAADqaLH19ttv04QJE+jIkSOUnZ0tFkCIiory/tkBAKi5JlZkTx0HsbkdCvIrJ7BmYjmhyyUIjkQjEwsAagpiWUREBJUrV06UFCCABQDwQXeCfMoJcpeeNRa45KzcXssBqUNBciZ6xQJAkNfEmkwmmjhxIsXGxlLVqlUpISFBXH/11VfJaMQvQQAAT3CrK6mpQP41sYUpJ8guRBCLmlgAUEkmluteV65cSdOmTaOWLVuKfX/++SdNmjSJrl27JnrIAgCAe5RtscSKXU7awEo1sflO7JJX/nIeDHNNLMOqXQAQ9EHs4sWLacmSJdStWzd53x133EFVqlShhx56CEEsAIAHzMogVhSzaokGD87ZoXWpnMAkLzmryMRqbcdDJhYAVBPEhoWFiTICe7xPr7f+UgUAAPfkaYulNRDNn5/nuMIsPZu75KwiE2uwHU+qiU3KwGIHABDkNbHPPfccvfnmm5SZmSnv4+vcsQAttgAAPGNWLlDgpC2WsiY234ldOTWx+ZYThFtzGUkZmNMAAEGeid27dy/9+uuvVKlSJWrYsKHYt3//fsrKyqKOHTtSnz595GNXrFjh3bMFAFBJJjYkRLHsbM5KXRQRYb1DUU6Qb4stm36zOezGk7sTIBMLAMEexJYoUYIefPBBm32VK1f25jkBAJDaa2JFPSzjgFPqw52SQhQZKa6WjMztTmCxWES7Q3tGk4NMrN14uTWxyMQCQJAHsfPmzfPNmQAAgFzHml8pgbImlrOtKZkmOaOqdOp6qrgsFxPmdBx0JwAA1dTEpqenU5r0VRQRnTlzhmbMmEHr1q3z9rkBAKiOyT4T60SYTkMGbWi+JQUHz98Sl3dUinU6DroTAIBqgtj777+fvvrqK3E9MTGRmjVrRu+//77YP2fOHF+cIwCAapgKMRnLPhvrrFfswQvWILZBxdgCM7GoiQWAoA9i9+zZQ23bthXXv/vuOypfvrzIxnJg++GHH7o01pYtW6hnz54UHx8v6rm+//57m/u5zosXUeD7w8PDqX379nT48GGbY7gzwvDhwykuLo4iIyOpV69edP78eVdfFgCAX5AWKNAUUE5gu+BB3kxshtFMxy4li+sNKpUosDtButEsdzMAAAjKIJZLCaKjo8V1LiHgbgShoaHUokULEcy6IjU1VXQ4mD17tsP7eVWwDz74QNy/c+dOETB37tyZkpOtv5jZyJEjxQpivADD1q1bKSUlhXr06EFms9nVlwYA4DcTu2x6uzqRX6/Yvy8li9KE0pF6io91XhMbZcidGoFsLAAEdRBbo0YNkTE9d+4crV27lrp06SL2X7lyhWJiYlwai1f9euutt2zacimzsFxrO2HCBHF//fr1acGCBSKIXrRokTjm1q1bNHfuXFHO0KlTJ2rUqBEtXLiQDh48SBs2bHD1pQEA+E2LrUKVE8gdCvJmYg+eTxSXDSrFOuxcoFzaNkKvEdfRoQAAgjqIfe2112js2LFiha7mzZtTy5Yt5awsB5HecurUKbp06ZIcJDODwUDt2rWjbdu2idu7d+8mo9FocwyXHnDAKx3jCJcgJCUl2WwAAP7VYivn17NGQ9S3r3Xj6wq5S8/mzcQekCZ12dfDOhhPmtyVlI5VuwAgiFts9e3bl9q0aUMXL16UFztgvNDBAw884LUT4wCWlStXzmY/35bKFvgYXuq2ZMmSeY6RHu/I1KlTafLkyV47VwAAb5FX2ZK6E4SFES1blu+qXQ4zsdKkLvt6WAfj8eSuy0mZyMQCQHBnYhnXpnLWlWthJdyl4Pbbbydvs/8azFlTb1eOGT9+vChFkDYujQAA8KdMrFitqwAlwh1nYtOzzPTP5eQC22tJ5EwsVu0CgGAPYosCB8rMPqPKtbdSdpaP4eVub9686fQYR7gsget3lRsAgD8tdqDTuN+d4MjFW8SxcNloQ74LHUhyl57Fql0AEDj8NoitVq2aCFLXr18v7+OAdfPmzdSqVStxu0mTJqTT6WyO4TKHQ4cOyccAAATiYgdyJjY1lb+Ssm58vRDdCaR6WIf9YR2MFxNuDWKRiQWAoK6J9SZuh3XixAmbyVz79u2jUqVKUZUqVUT7rClTplDNmjXFxtcjIiJo4MCB4vjY2FgaOnQojRkzhkqXLi0ex5POGjRoILoVAAAE6mIHOhe6E9iXE0grdXFngsLIXbULmVgACBzFGsTu2rWLOnToIN8ePXq0uBw8eDDNnz+fxo0bJ5a5HTZsmCgZ4G4I3AVB6lPLpk+fTlqtlvr37y+O5Qlm/FiN3SxeAICAzMTmQ+pOYD+x60DOpK7C1MMyLD0LAIGoWINYXoGLJ2E5w5OzeMUu3pwJCwujWbNmiQ0AINCZcvrEFqYmVion4EUKLt3KoPKxYZSSaaKTV1PE/vr5LDfraOnZpHRkYgEgcPhtTSwAgJondhUmE8stthrmZFtfWLJXlCIc+S+JODdQITaMykYXPKmLxcjlBOgTCwCBA0EsAIAflhPIix3kg7+tmj7gTorUa+ivUzfow99O0AFppa5CZmFtuhNkIhMLAIEDQSwAgF8GsQVnYln1MlE0pU8DcX3Wb8dp6c5zLtXDsphwrNgFAIGnWGtiAQDAcXcCrdSdgCep3ndf7nUH7r+zIm07cZ2W7jpHx6+kOF6pS+JgPPSJBYBAhCAWAMAPV+yyWXZ29eoCHzepVz3ac/ZmbhDrrJzAwXjoTgAAgQjlBAAAfsSYM7FLW4juBErheg199EhjMUmrSUJJKhVp7VzgUneCDGO+HWMAAPwJMrEAAH7EnNNiq7A1sUq1ykXTHy/fQ+E61/pkS5lYDqAzTdkU5uLjAQCKAzKxAAB+mYlVLDsbGWnd7JaddYTrW/PN4joYL1KvFavQStlYAIBAgCAWAMAva2IVv57T0qybt9iNFxoaQlEG9IoFgMCCIBYAwI8YPSgn8ARW7QKAQIMgFgDAH1fsksoJigg6FABAoEEQCwDgh+UEukKs2OWLTCyWngWAQIEgFgDAjxjtFzsoIvKqXZjYBQABAkEsAIA/L3ZQRLBqFwAEGvSJBQDw58UOuKygXbvc655yMh5qYgEg0CCIBQDw58UOwsOJNm3y3hM4GQ/dCQAg0KCcAADAjxiLrZwAfWIBILAgiAUA8CNmucVWaLHUxCZlmIr0eQEA3IUgFgDAj5hyygl0UiaWl4YtU8a6FWLZ2QI5GQ/dCQAg0KAmFgDAj5hyygk0ynKCa9e8+yQOxsvtToBMLAAEBmRiAQD8SEpOEBmm0xRTTayxSJ8XAMBdCGIBAPzIyasp4rJaXGSRPi+6EwBAoEEQCwDgJ66nZNLNNGsmtHqZog5irZnYlEwTWSzWkgYAAH+GIBYAwE+cuGLNwlYsEU4R+qKdsiDVxHJJbmqWuUifGwDAHQhiAQD8xImcUoKa5aKK/LnDdKFyb1rUxQJAIPDrIHbSpEkUEhJis5UvX16+n7/y4mPi4+MpPDyc2rdvT4cPHy7WcwYA8DQTW6OMIojlpWGbNrVu3lp21sF4/Ps1JjynV2w6OhQAgP/z+xZb9erVow0bNsi3NZrcGbvTpk2jDz74gObPn0+1atWit956izp37kzHjh2j6OjoYjpjAAAPg9iyUbbLxO7c6b23NJ/xuEPBjdQsZGIBICD4dSaWabVakX2VtjLcoDsnCztjxgyaMGEC9enTh+rXr08LFiygtLQ0WrRoUXGfNgCAy046CmKLEJaeBYBA4vdB7PHjx0W5QLVq1eihhx6if//9V+w/deoUXbp0ibp06SIfazAYqF27drRt27ZiPGMAANelZprov1sZxRrEym220CsWAAKAXwexzZs3p6+++orWrl1Ln3/+uQhaW7VqRdevXxfXWbly5Wwew7el+5zJzMykpKQkmw0AwB/6w8ZF6alEhD73jrQ0oqpVrRtf91Q+40mZ2CSs2gUAAcCva2K7desmX2/QoAG1bNmSbrvtNlE20KJFC3kyghKXGdjvszd16lSaPHmyj84aAMD9etjblJO6GPdsPXMm97qn8hlParOVlI5VuwDA//l1JtZeZGSkCGa5xEDqUmCfdb1y5Uqe7Ky98ePH061bt+Tt3LlzPj1vAAC3JnUVsUolw8XlsUvJxXYOAABBGcRyGcDRo0epQoUKokaWA9n169fL92dlZdHmzZtFyUF+uHY2JibGZgMAUHsQ26xaKXG549R1rNoFAH7Pr4PYsWPHiqCUJ3Ht2LGD+vbtK+pXBw8eLEoGRo4cSVOmTKGVK1fSoUOHaMiQIRQREUEDBw4s7lMHAHBroYPiDGIbVS5JOk0IXU7KpLM3vFB/CwCg1prY8+fP08MPP0zXrl0TrbW4Dnb79u2UkJAg7h83bhylp6fTsGHD6ObNm2Ii2Lp169AjFgACSpYpm85cTyv2IDZcr6GGlUrQrjM3ace/NyihdGSxnQsAQEAHsUuWLMn3fs7G8opdvAEABKoz11PJnG2hKIOWyseEFeu5NK9eSgSx209dp/53VS7WcwEACNhyAgAAdXUmiMzbXYVv161r3QrovFIoBYzXrFppcfnXqRuePxcAgFozsQAAqgpiHZUSREQQHT7svScrYLwmCSVJExpC52+m04XEdKpYwtqxAADA3yATCwBQzPxhUpeESxrqV4wV1/86db24TwcAwCkEsQAA/tJey36hg2LSXGq19S9KCgDAfyGIBQAoRtnZFnnJWYeZWF4atl496+atZWcLGE8OYlEXCwB+DDWxAADFiOtOM4zZpNeEUpVSEXkP4KVhjxzJve6pQozXtGopMefr1LVUupKUQWWLuWMCAIAjyMQCAPhBPWzVuAjSavzjV3JsuI7qlLeuZIhsLAD4K//4jQkAoFIn/WC5WWf9YqUlaAEA/BGCWACAYrT3XKJfTeqSNEe/WADwcwhiAQCKyaVbGbT20CVxvXPd8n71OTTLmdz1z+UUupGaVdynAwCQB4JYAIBisuDP02TKtohuAA0qWXuz+otSkXqqVc6aHd7yz9XiPh0AgDwQxAIAFIO0LBMt2nFWXB/apprzA7lNQEKCdfPWsrOFHO/e+hXE5YwN/1CWKdvz5wYA8CIEsQAAxWD57vN0K91IVUtHUMc65fJfJvb0aevG1z3lwnhP312d4qIMdPp6Gn3152nPnxsAwIsQxAIAFMMCB1/+YQ0KH29djTShXsiw+mgJ2rFdaonrM389jtpYAPArCGIBAIrYb39fEQsJxIRpqW+TSn79/vdrWpnqVIih5AyTKCsAAPAXCGIBAIrYF1v/FZcPN69CkYYCFk5MTye66y7rxtc95eJ4nCWe2KOOuP7NjrN0/HKy5+cAAOAFCGIBAIrQoQu3aPu/N0gbGkJDWlUt+AHZ2US7dlk3vu4pN8ZrdVscda5bjszZFnr756OenwMAgBcgiAUAKCLcb/WFxXvF9e53VKAKseEB896/cl8d0mlCaNOxq/TJ5pPFfToAAAhiAQCKqqXWE/N30r/XUqliiXARFAaSanGRNKqzdZLXO2v+pvfXHSOLxVLcpwUAKoZMLACAjxnN2fTcN3to37lEKhGhowVPNKNyMWEB974Pa1+DXrr3dnF91m8n6I2fjiCQBYBigyAWAMCHOFv5yoqDtPHYVQrThdLcwXdRjbLWlbAC0bPtb6M37q8nrs/74zS9+N0BSs00FfdpAYAKIYgFAPCR09dS6ZEvdtCy3efFLP+PBjamJgklA/79fqxlVfpfv4bE7W2/232eOr6/mb7fewFZWQAoUgX0dgEAAHfKB774/ZToq5ppyhYZ2Kl9GuS/Mld+4uK8+yF4YTzubxsXpaeJqw7RuRvpNHLpPrGq14TudahxlZIU4o0lcgEA8hFiQWU+JSUlUWxsLN26dYtiYmLye78AAJzKMJrp54MX6bMt/9Lfl6z9VNvUiKMpDzSgKqW9sGSsn77muVtP0UcbT1Ballnsu718NPVvWpl6N6pIpSL1xX2KABCkcRmCWBfeLAAAe5wHOHElhZbsPCe+Wr+VbhT7Y8N1NLFHXXqwcUVVZCUvJ2WIjgXf7/uPskzW/rPckqttzTLUtmacCOa5FlgN7wUAeAZBrA/eLAAAqd/r9n+v0+/Hr9KWf67RhcTcla+4fdbDzSrTw82qUOkog+resFtpRvph/wX6dtd5Onjhls195WIM1LRqKaofH0v1K8aIy5LI1AKA2oPYjz/+mN577z26ePEi1atXj2bMmEFt27Yt1GMRxAKAI+lZZjpzI1VM0Dp2KYUO/3eLDv+XZBO0Mr0mlO6uFUePNE+gu2uVEZO4vIaXhu3WzXp9zRqi8HD/Gi8fxy4l06ZjV2jriWv016kboj7YXlyUgarFRYg+tFXjIsUfAWWjw0TAy23IClyWFwCCjqqC2KVLl9KgQYNEINu6dWv69NNP6YsvvqAjR45QlSpVCnw8glgA9eBfeUkZJkpMy6KbaUa6yZepWXQ9JYsuJWVYt1sZdOFmurjuTM2yUSJg5a/Km1UrRRF6HwVbqalEUTktuVJSiCIj/Ws8F2pn95y5SfvP35L/GDh1LbXAx0UbtFQ2J6AtG22gEhF6ignXiXIN+y06TEsReg2F6zXiDwuULgAEJlUFsc2bN6fGjRvTnDlz5H116tSh3r1709SpUwt8PIJYgOKVnW0hk9iyRT0lb5y1yzLn3lZel+7LNJpt9vPEIl4ZK5UvM02Ukpl7OyXDKOpVOXA1Zxf+115MmFZkCW8rE0X1KsZS/fgYqhsfQ9FhOioSQRLEOpKSaRJZbl7F7NTVVDp9PVX8AXE5OYOuJGWK+93F2fAInTWgFZtOIwJc/mODb/N1gzaU9NpQ0mlCRdArXRe3+T5NiIN90u0Q0mpCSBMaSpoQvrTdtKEhFCpdhtjelo8Lse4DAPfisoD/niYrK4t2795NL7/8ss3+Ll260LZt21waa8We8xQRFW29Yff/OIvdDkehv/0uSwFjOD6mgAMK8zzuPCbP/QX/T94br8/x+1jwe533efJ/jMWN8y/MGPYHeeP1WXL28XHi0mK9zLbfx8Gf4j5xr7huezxJ+8TxuY/NHTdnTPt9OefB15l8nM39FhEQmi1E5uxsMmdLl9b9HJhKASo/hi/N9lvOuEWNg5qSETqR2SsZqaNSkQaqEMtfY4eJS944eOX7wTeiDFqqz38YVIx1eD8HsVdysuMc1F5JzhB/iFg3k3w9KecyOcNIRv5hJP45tFBypkls/oznuTkKgnkf38fZZI5zQyjnMmc/B8b2tzkcDrV7nP1t6Rje+IbyGOulNI6jx3LQbb20nrx1POvrkPdaH+Ngv/X4EAfH2O1XPEC6zhe510PyPIfy/XT6HDnHif/ajeXsOXKPDynwGPs5iwV9E5Dn+Nx3ysF9hX8sy++p7c+r4LELeLziZp6ndfm5rDvSUq3dXQoS8EHstWvXyGw2U7lytv0X+falS5ccPiYzM1NsyoifvbbqMIUagrMNDkAg4V9sUmZMZMukLJi4rZEzYtI+sV8TShEGDUXq+StlLUXydYP162Xex9d5ydeSEXpxGabTFPfLhEIEuVFloqh6mSiXevRyRp7rmTkLn26Urlu3dKNJvp8z+nx8Vs4lB8B591kz/9L90n6+5D/AHP1RZjZbL5V/xDnDf8CZco4FAKvszDRSRRDr7C8DzhA5+yuISwwmT56cZ3/bmqVJHx7l9l8rDv4G8clfUwU9poCbDt8Xj/8Sy3uaDs4j/9dW8PtbiDEK+Ewcj5n/GK6et6d/gUv3i2xIqPUeKdtin2mxuZ1zPNnvszs+N+PiYF/O8VKGxTZDYz03m305z2nzVamDrJL4OpW/enWUccp5jJa/ltWEiKCVx0E9I7iDv+qPDeetiMo9Cqkw30hIwS9/m5Ft862K7bcgym9Csu32W795UX77wo/N/XYmd6ycx5I0Ru5z2d+WxpH2M4vyuuIbJem8JLn7c79xsT3e9psYm/EVY0jfYMn7HT638+cgB+eX33Mozyff85CPL+AbNhe++XP5W11LvjdtP48Cx3b+WEf3K3dYvPgeZKan0FekgiA2Li6ONBpNnqzrlStX8mRnJePHj6fRo0fbZGIrV65Mcx5tihZbAADgdfxHnh71rwCFwnHZV88UfFwoBTi9Xk9NmjSh9evX2+zn261atXL4GIPBIIJV5QYA4LciIqybv44HAFAMAj4Tyziryi22mjZtSi1btqTPPvuMzp49S888U4gwHgDAn3H3AO4o4K/jAQAUk6AIYgcMGEDXr1+nN954Qyx2UL9+ffr5558pISGhuE8NAAAAAHwgKPrEegp9YgEAAAACKy4L+JpYAICglpFB1L27dePr/jYeAEAxCYpyAgCAoGU2E/38c+51fxsPAKCYIBMLAAAAAAEHQSwAAAAABBwEsQAAAAAQcBDEAgAAAEDAQRALAAAAAAEH3QmISGqVy33JAAD8inJ1Lf4d5WlHAW+PBwDgZVI8VtBSBghiiSg5OVm8GZUrV/b25wAA4D3x8f49HgCAl+MzXvTAGazYRUTZ2dn033//UXR0NIWEhHjz/Q+qv4o4yD937ly+q2dA8MFnr1747NULn716JfnB/+85A8sBbHx8PIWGOq98RSaWC4NDQ6lSpUpF+fkELP6BRhCrTvjs1QufvXrhs1evmGL+/31+GVgJJnYBAAAAQMBBEAsAAAAAAQdBLBSKwWCg119/XVyCuuCzVy989uqFz169DAH0/3tM7AIAAACAgINMLAAAAAAEHASxAAAAABBwEMQCAAAAQMBBEKtiH3/8MVWrVo3CwsKoSZMm9Pvvvzs99uLFizRw4ECqXbu26Ks7cuTIPMfMnz9fLBZhv2VkZPj4lYAvP/sVK1ZQ586dqUyZMqJnYMuWLWnt2rV5jlu+fDnVrVtXTAbgy5UrV+KDUcFnj3/3wfnZb926lVq3bk2lS5em8PBwuv3222n69Ol5jsO/e/V97vP96P/1CGJVaunSpSIQnTBhAu3du5fatm1L3bp1o7Nnzzo8PjMzU/yPjI9v2LCh03H5f3Qc8Co3/ocDgfvZb9myRQQyP//8M+3evZs6dOhAPXv2FI+V/PnnnzRgwAAaNGgQ7d+/X1z279+fduzYUYSvDIrjs2f4dx98n31kZCQ9//zz4mfg6NGj9Oqrr4rts88+k4/Bv3t1fu5+9W/eAqrUrFkzyzPPPGOz7/bbb7e8/PLLBT62Xbt2lhEjRuTZP2/ePEtsbKxXzxP867OX1K1b1zJ58mT5dv/+/S333nuvzTFdu3a1PPTQQ144Y/Dnzx7/7tXz2T/wwAOWRx99VL6Nf/fq/Nzn+dH/65GJVaGsrCyRVenSpYvNfr69bds2j8ZOSUmhhIQEsYxvjx498mRsIPA/++zsbLGmdalSpWwyMvZjdu3a1eOfJ/D/z57h333wf/b8u5yPbdeunbwP/+7V+bn70795BLEqdO3aNTKbzVSuXDmb/Xz70qVLbo/LtTNcK/PDDz/Q4sWLxVcLXFtz/PhxL5w1+Mtn//7771NqaqooF5DwY7398wSB8dnj331wf/YcpHCde9OmTem5556jJ598Ur4P/+7V+bnf7kf/r9cW+TOC3+BCbCWLxZJnnytatGghNgn/UDdu3JhmzZpFH374oUfnCv7x2fMvrEmTJtGqVauobNmyXhkTAvuzx7/74P7seRIQZ922b99OL7/8MtWoUYMefvhhj8aEwP7cW/jR/+sRxKpQXFwcaTSaPH+JXblyJc9fbJ7gLgZ33XUXMrFB8tnzBIGhQ4fSsmXLqFOnTjb3lS9f3uc/T+Cfn709/LsPrs+eZ7WzBg0a0OXLl8UfMlIwg3/36vzc/enfPMoJVEiv14s2G+vXr7fZz7dbtWrltefhv/b27dtHFSpU8NqYUDyfPWfhhgwZQosWLaLu3bvnuZ9bL9mPuW7dOq/+PIF/fvb28O8+eH/n82fLnWok+Hevzs/dr/7NF/fMMigeS5Ysseh0OsvcuXMtR44csYwcOdISGRlpOX36tLifZy4OGjTI5jF79+4VW5MmTSwDBw4U1w8fPizfP2nSJMsvv/xiOXnypLjv8ccft2i1WsuOHTuK/PWB9z77RYsWic/xo48+sly8eFHeEhMT5WP++OMPi0ajsbzzzjuWo0ePikt+zPbt2/FRBPlnj3/3wfnZz5492/LDDz9Y/vnnH7F9+eWXlpiYGMuECRPkY/DvXp2f+yQ/+n89glgV4/8xJSQkWPR6vaVx48aWzZs3y/cNHjxYtNJS4r957Dd+vIT/cVSpUkWMV6ZMGUuXLl0s27ZtK9LXBN7/7Pm6o8+ej1NatmyZpXbt2uIXJrdwWb58OT4OFXz2+HcfnJ/9hx9+aKlXr54lIiJCBDGNGjWyfPzxxxaz2WwzJv7dq+9zH+lH/68P4f8Uff4XAAAAAMB9qIkFAAAAgICDIBYAAAAAAg6CWAAAAAAIOAhiAQAAACDgIIgFAAAAgICDIBYAAAAAAg6CWAAAAAAIOAhiAQAAACDgIIgFANXhNV6efvppKlWqFIWEhIh1v8GxrKwsqlGjBv3xxx9F+hbxWu1VqlSh3bt346MBAIcQxAKA6vzyyy80f/58+umnn+jixYtUv3794j4lv/XZZ59RQkICtW7dukif12Aw0NixY+mll14q0ucFgMCBIBYAVOfkyZNUoUIFatWqFZUvX560Wq3DDCQQzZo1i5588slieSseeeQR+v333+no0aP4KAAgDwSxAKAqQ4YMoeHDh9PZs2dFKUHVqlXF/vbt29Pzzz9Po0ePpri4OOrcubPYf+TIEbrvvvsoKiqKypUrR4MGDaJr167J46WmptJjjz0m7ufA+P333xdjjRw5Uj6Gn+f777+3OY8SJUqIbLDkwoULNGDAACpZsiSVLl2a7r//fjp9+rTNeffu3Zv+97//iefhY5577jkyGo02X8GPGzeOKleuLDKZNWvWpLlz54ryCS4J4McqHTp0iEJDQ0VQ78iePXvoxIkT1L17d5v9nB2tVasWRUREUPXq1WnixIk252Fv06ZN4j1ITEyU93EJB+9TvkZ7/Br5D43Fixc7PQYA1AtBLACoysyZM+mNN96gSpUqiVKCnTt3yvctWLBAZGW5/vPTTz8V97dr147uvPNO2rVrlyhDuHz5MvXv319+zIsvvkgbN26klStX0rp160TA5modZ1paGnXo0EEEwlu2bKGtW7eK6/fee69NRpifhwNOvuRz5SBYGQhzML1kyRL68MMPRfbyk08+EeNwsPjEE0/QvHnzbJ73yy+/pLZt29Jtt93m8Lz4XDhYjYmJsdkfHR0tnpcDfH4/P//8c5o+fTr5QrNmzUQ2FgAgDwsAgMpMnz7dkpCQYLOvXbt2ljvvvNNm38SJEy1dunSx2Xfu3DkL/+o8duyYJTk52aLX6y1LliyR779+/bolPDzcMmLECHkfH79y5UqbcWJjYy3z5s0T1+fOnWupXbu2JTs7W74/MzNTjLN27Vpxe/DgweKcTSaTfEy/fv0sAwYMENf5fPh51q9f7/A1//fffxaNRmPZsWOHuJ2VlWUpU6aMZf78+U7fJ34N99xzj6Ug06ZNszRp0sTp/Rs3bhTndvPmTXnf3r17xb5Tp07lO/bMmTMtVatWLfAcAEB98haCAQCoVNOmTW1uc0aVs56czbTHGdH09HSRKW3ZsqW8nzse1K5d26Xn5efhr+05w6mUkZFh81V/vXr1SKPRyLe5rODgwYPy1/N8H2eOHeFjuSyAs6+c3eRJbTx+v379nJ4Xv76wsLA8+7/77juaMWOGOOeUlBQymUx5srXeEh4eLjLVAAD2EMQCAOSIjIy0eS+ys7OpZ8+e9O677zoMCo8fP16o946/zrcmZHMpa0j5eZo0aULffPNNnseWKVNGvq7T6fKMy4+Vgr2C8AQtrunlr/65tIBrcLmu1RmuDZaCZMn27dvpoYceosmTJ1PXrl0pNjZWlDBwLbAzXHfLlO9BfjW0Sjdu3LB5DwAAJAhiAQCcaNy4MS1fvlxM/nLUwYAnS3FgyYEd9zRlN2/epH/++ccmI8pBGNfXSjj4VWYX+XmWLl1KZcuWdTuj2aBBAxHQbt68mTp16uTwGJ6gxoH6nDlzaM2aNaLmNT+NGjUSx3LwyQEz43phbrk1YcIE+bgzZ87kO44UhPJ7wBPXWGF78/LkMz4PAAB7mNgFAOAEz/7nTODDDz9Mf/31F/37779i8hZPkjKbzaLMYOjQoWJy16+//ioCLu4iIGUeJffccw/Nnj1bzPbnCWLPPPOMTVaVW0lx1pM7EvAkplOnTolgdMSIEXT+/PlCfT4caA8ePFicG3dC4DF4ktm3334rH8PlBnx+48ePFwG4sgzCEZ5sxt0XDh8+LO/jx3FnB86+cqkDTyLjSW1K/F7dfvvtouOC9BjumDBp0iQR4K9evTpP5paP5cfwY5X4/ejSpUuh3gMAUBcEsQAATsTHx4vMIwes/NU5L4rAgSV/hS4Fqu+99x7dfffd1KtXL5EBbdOmjSgNUOKAjYM4Pm7gwIGiib/ya3y+zllRzub26dOH6tSpI4JRrkl1JTPLWdO+ffvSsGHDRED41FNPiSBUiYNuruPl8QvCLa74fJRlDhxojxo1SrQj464N27ZtEy22lDjLfOzYMblkgAN2bpP1999/U8OGDUV5xltvvWXzGD6WH6PMUP/5559069Yt8ZoAAOyF8OyuPHsBAMBt3CeWAzye/ORvOCjn8+MML/e9LQjXxHJw7mjima/xpDMuJXjllVeK9HkBIDAgEwsAoAK8EAIHopw15T63hQlgpVrbadOm5bsoga/Ol7O2nPUFAHAEQSwAgArw1/nc+ou/nueg1BVca8vBbFHiFcdeffXVQnVdAAB1QjkBAAAAAAQcZGIBAAAAIOAgiAUAAACAgIMgFgAAAAACDoJYAAAAAAg4CGIBAAAAIOAgiAUAAACAgIMgFgAAAAACDoJYAAAAAAg4CGIBAAAAgALN/wP0K+ULg4ERzgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "signal = qc_history - np.mean(qc_history)\n", "if signal.size == 0:\n", " raise RuntimeError(\"No cavity data recorded; ensure the simulation was executed above.\")\n", "\n", "dt_sim = np.mean(np.diff(time_history)) if time_history.size > 1 else dt_au\n", "fft_vals = np.fft.rfft(signal)\n", "freqs = np.fft.rfftfreq(signal.size, d=dt_sim) * 2.0 * np.pi\n", "spectrum = np.abs(fft_vals)\n", "\n", "# analytical polariton eigenfrequencies of the two coupled HOs (with DSE)\n", "g0 = coupling_strength * mu0\n", "omega0_sq = frequency_au**2\n", "omegac_sq = frequency_au**2\n", "dse_shift = g0**2 / omegac_sq # diagonal frequency-squared shift on the matter\n", "\n", "half_trace = 0.5 * (omega0_sq + omegac_sq + dse_shift)\n", "half_disc = 0.5 * np.sqrt((omega0_sq - omegac_sq + dse_shift)**2 + 4.0 * g0**2)\n", "\n", "omega_minus = np.sqrt(half_trace - half_disc)\n", "omega_plus = np.sqrt(half_trace + half_disc)\n", "rabi_splitting = omega_plus - omega_minus\n", "\n", "expected_peaks = np.array([omega_minus, omega_plus])\n", "\n", "print(f\"g_0 = epsilon * mu0 = {g0:.3e} a.u.\")\n", "print(f\"Analytical lower / upper polariton: {omega_minus:.6f} / {omega_plus:.6f} a.u.\")\n", "print(f\"Analytical Rabi splitting Omega_+ - Omega_- = {rabi_splitting:.6e} a.u.\")\n", "\n", "plt.figure(figsize=(7, 4))\n", "plt.plot(freqs, spectrum, label=\"|FFT(q_c)|\")\n", "for idx, freq in enumerate(expected_peaks):\n", " label = r\"$\\Omega_\\pm$ (analytical)\" if idx == 0 else None\n", " plt.axvline(freq, color=\"red\", linestyle=\"--\", label=label)\n", "plt.xlabel(\"frequency (a.u.)\")\n", "plt.xlim(frequency_au*0.5, frequency_au*1.5)\n", "plt.ylabel(\"spectral amplitude\")\n", "plt.title(\"Cavity-mode spectrum\")\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "mxl-install", "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": "3.13.11" }, "title": "Single-Mode Cavity with TLS" }, "nbformat": 4, "nbformat_minor": 5 }