{ "cells": [ { "cell_type": "markdown", "id": "ed66967b", "metadata": {}, "source": [ "# Rabi splitting with TLS\n", "\n", "Here, we demonstrate the socket-free TLS workflow using the `maxwelllink.SingleModeSimulation` electromagnetic solver. By resonantly coupling one classical cavity mode to a two-level system (TLS), we aim to monitor the cavity coordinate and verify 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 TLS 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: tls\n" ] } ], "source": [ "import numpy as np\n", "import maxwelllink as mxl\n", "\n", "frequency_au = 0.242\n", "mu12 = 187\n", "\n", "molecule = mxl.Molecule(\n", " driver=\"tls\",\n", " driver_kwargs={\n", " \"omega\": frequency_au,\n", " \"mu12\": mu12,\n", " \"orientation\": 2,\n", " \"pe_initial\": 0e-3,\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", "$$\n", "\\ddot{q}_{\\rm c} = -\\omega_{\\rm c}^{2}\\, q_c - \\varepsilon \\sum_i \\mu_i - \\gamma_c\\, p_{\\rm c} + D(t),\n", "$$\n", "\n", "where the effective electric field of this cavity mode is\n", "\n", "$$\n", "E(t) = -\\varepsilon q_{\\rm c}(t) .\n", "$$\n", "\n", "Here, $\\varepsilon = \\frac{\\omega_{\\rm c}}{\\sqrt{\\epsilon_0 V}}$ is the **coupling strength**, and the sum runs over the selected molecular axis of all molecules attaced to the ``SingleModeSimulation`` class. All quantities are in **atomic units**. Dipole self-energy is excluded in the calculation of the effective electric field $E(t)$.\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "efeaa956", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "init TLSModel with dt = 0.100000 a.u., molecule ID = 0\n", "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: 1.21e-04 seconds, remaining time: 4.85 seconds.\n", "[SingleModeCavity] Completed 2000/40960 [4.9%] steps, time/step: 1.13e-04 seconds, remaining time: 4.57 seconds.\n", "[SingleModeCavity] Completed 3000/40960 [7.3%] steps, time/step: 1.16e-04 seconds, remaining time: 4.43 seconds.\n", "[SingleModeCavity] Completed 4000/40960 [9.8%] steps, time/step: 1.06e-04 seconds, remaining time: 4.21 seconds.\n", "[SingleModeCavity] Completed 5000/40960 [12.2%] steps, time/step: 9.50e-05 seconds, remaining time: 3.96 seconds.\n", "[SingleModeCavity] Completed 6000/40960 [14.6%] steps, time/step: 1.11e-04 seconds, remaining time: 3.86 seconds.\n", "[SingleModeCavity] Completed 7000/40960 [17.1%] steps, time/step: 1.08e-04 seconds, remaining time: 3.74 seconds.\n", "[SingleModeCavity] Completed 8000/40960 [19.5%] steps, time/step: 1.07e-04 seconds, remaining time: 3.62 seconds.\n", "[SingleModeCavity] Completed 9000/40960 [22.0%] steps, time/step: 8.67e-05 seconds, remaining time: 3.42 seconds.\n", "[SingleModeCavity] Completed 10000/40960 [24.4%] steps, time/step: 1.09e-04 seconds, remaining time: 3.32 seconds.\n", "[SingleModeCavity] Completed 11000/40960 [26.9%] steps, time/step: 1.10e-04 seconds, remaining time: 3.22 seconds.\n", "[SingleModeCavity] Completed 12000/40960 [29.3%] steps, time/step: 1.10e-04 seconds, remaining time: 3.12 seconds.\n", "[SingleModeCavity] Completed 13000/40960 [31.7%] steps, time/step: 1.17e-04 seconds, remaining time: 3.04 seconds.\n", "[SingleModeCavity] Completed 14000/40960 [34.2%] steps, time/step: 1.24e-04 seconds, remaining time: 2.96 seconds.\n", "[SingleModeCavity] Completed 15000/40960 [36.6%] steps, time/step: 1.22e-04 seconds, remaining time: 2.87 seconds.\n", "[SingleModeCavity] Completed 16000/40960 [39.1%] steps, time/step: 1.34e-04 seconds, remaining time: 2.79 seconds.\n", "[SingleModeCavity] Completed 17000/40960 [41.5%] steps, time/step: 1.51e-04 seconds, remaining time: 2.74 seconds.\n", "[SingleModeCavity] Completed 18000/40960 [43.9%] steps, time/step: 1.14e-04 seconds, remaining time: 2.62 seconds.\n", "[SingleModeCavity] Completed 19000/40960 [46.4%] steps, time/step: 1.11e-04 seconds, remaining time: 2.50 seconds.\n", "[SingleModeCavity] Completed 20000/40960 [48.8%] steps, time/step: 1.13e-04 seconds, remaining time: 2.39 seconds.\n", "[SingleModeCavity] Completed 21000/40960 [51.3%] steps, time/step: 1.11e-04 seconds, remaining time: 2.27 seconds.\n", "[SingleModeCavity] Completed 22000/40960 [53.7%] steps, time/step: 1.13e-04 seconds, remaining time: 2.16 seconds.\n", "[SingleModeCavity] Completed 23000/40960 [56.2%] steps, time/step: 1.05e-04 seconds, remaining time: 2.04 seconds.\n", "[SingleModeCavity] Completed 24000/40960 [58.6%] steps, time/step: 1.13e-04 seconds, remaining time: 1.92 seconds.\n", "[SingleModeCavity] Completed 25000/40960 [61.0%] steps, time/step: 1.05e-04 seconds, remaining time: 1.80 seconds.\n", "[SingleModeCavity] Completed 26000/40960 [63.5%] steps, time/step: 1.13e-04 seconds, remaining time: 1.69 seconds.\n", "[SingleModeCavity] Completed 27000/40960 [65.9%] steps, time/step: 8.78e-05 seconds, remaining time: 1.56 seconds.\n", "[SingleModeCavity] Completed 28000/40960 [68.4%] steps, time/step: 1.05e-04 seconds, remaining time: 1.45 seconds.\n", "[SingleModeCavity] Completed 29000/40960 [70.8%] steps, time/step: 1.09e-04 seconds, remaining time: 1.34 seconds.\n", "[SingleModeCavity] Completed 30000/40960 [73.2%] steps, time/step: 9.06e-05 seconds, remaining time: 1.22 seconds.\n", "[SingleModeCavity] Completed 31000/40960 [75.7%] steps, time/step: 8.95e-05 seconds, remaining time: 1.10 seconds.\n", "[SingleModeCavity] Completed 32000/40960 [78.1%] steps, time/step: 9.68e-05 seconds, remaining time: 0.98 seconds.\n", "[SingleModeCavity] Completed 33000/40960 [80.6%] steps, time/step: 9.84e-05 seconds, remaining time: 0.87 seconds.\n", "[SingleModeCavity] Completed 34000/40960 [83.0%] steps, time/step: 1.06e-04 seconds, remaining time: 0.76 seconds.\n", "[SingleModeCavity] Completed 35000/40960 [85.4%] steps, time/step: 9.12e-05 seconds, remaining time: 0.65 seconds.\n", "[SingleModeCavity] Completed 36000/40960 [87.9%] steps, time/step: 1.08e-04 seconds, remaining time: 0.54 seconds.\n", "[SingleModeCavity] Completed 37000/40960 [90.3%] steps, time/step: 1.09e-04 seconds, remaining time: 0.43 seconds.\n", "[SingleModeCavity] Completed 38000/40960 [92.8%] steps, time/step: 1.13e-04 seconds, remaining time: 0.32 seconds.\n", "[SingleModeCavity] Completed 39000/40960 [95.2%] steps, time/step: 1.16e-04 seconds, remaining time: 0.21 seconds.\n", "[SingleModeCavity] Completed 40000/40960 [97.7%] steps, time/step: 1.16e-04 seconds, remaining time: 0.11 seconds.\n" ] } ], "source": [ "\n", "coupling_strength = 5e-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, 1e-5],\n", " record_history=True,\n", " # excluding dipole self-energy term for TLS model\n", " include_dse=False,\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 TLS trajectory from `molecule.additional_data_history` 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 TLS samples and 40960 cavity samples.\n" ] } ], "source": [ "population = np.array([entry[\"Pe\"] for entry in molecule.additional_data_history])\n", "tls_time_au = np.array([entry[\"time_au\"] for entry in molecule.additional_data_history])\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 {population.size} TLS 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 TLS 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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", 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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, population, label=\"TLS excited-state population\")\n", "plt.xlabel(\"time (a.u.)\")\n", "plt.ylabel(\"Pe\")\n", "plt.title(\"TLS population 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 + TLS) energy\")\n", "plt.xlabel(\"time (a.u.)\")\n", "plt.ylabel(\"E (a.u.)\")\n", "plt.title(\"Total system energy dynamics\")\n", "plt.ylim(0, np.max(np.array(energy_history))*1.1)\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", "Analytically, for this simple model system, we can calculate the assoicated Rabi splitting under the rotating wave approximation as:\n", "\n", "$$\n", "\\Delta_{\\rm{Rabi}} = \\varepsilon \\mu_{12} \\sqrt{\\frac{2}{\\hbar \\omega }}\n", "$$\n", "\n", "We can of course obtain the numerical Rabi splitting by Fourier transforming the cavity coordinate dynamics, which can be compared with the above analytical solution." ] }, { "cell_type": "code", "execution_count": 5, "id": "5298490a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "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 Rabi splitting\n", "rabi_splitting = coupling_strength * mu12 * (2.0/frequency_au)**0.5\n", "\n", "expected_peaks = np.array([\n", " frequency_au - rabi_splitting/2.0,\n", " frequency_au + rabi_splitting/2.0,\n", "])\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\"$\\omega_0 \\pm \\Delta/2$ (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", "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": "3.13.9" }, "title": "Single-Mode Cavity with TLS" }, "nbformat": 4, "nbformat_minor": 5 }