{ "cells": [ { "cell_type": "markdown", "id": "64a1494c-8896-4f83-b2a7-d36e3fa4ff77", "metadata": {}, "source": [ "# Tutorial on the Tight-Binding Method" ] }, { "cell_type": "markdown", "id": "311fbc5e", "metadata": {}, "source": [ "This tutorial provides an exploration of predefined and custom tight-binding models implemented in QuantumDNA. Tight-binding models are widely used for studying electronic properties and dynamics in complex molecular systems, offering computational efficiency.\n", "\n", "In this notebook, we demonstrate the versatility of qDNA by showcasing two distinct applications:\n", "\n", "* **Time-Averaged Exciton Populations in a Fishbone Ladder Model (FLM)**\n", "The FLM is a representative tight-binding model that mimics exciton dynamics in a DNA double helix including the sugar-phosphate backbone. This example illustrates how to compute time-averaged exciton populations, providing insight into energy transport and excitonic interactions.\n", "\n", "* **Charge Transfer in the Fenna-Matthews-Olson (FMO) Complex**\n", "The FMO complex, found in green sulfur bacteria, plays a crucial role in photosynthetic energy transfer. This example demonstrates how a custom TB model can be defined in QuantumDNA and can be used to simulate charge transfer in this well-studied complex, offering a glimpse into the quantum mechanical processes that underlie efficient energy transfer in biological systems.\n", "\n", "This notebook equips you with the tools to perform simulations using TB models with QuantumDNA.\n", "\n", "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.png)](https://colab.research.google.com/github/dehe1011/QuantumDNA-notebooks/blob/main/tutorials/1_TB_Models.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "id": "ab9c849a-381d-4601-9a26-1482d46e2a97", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "# Save flag: Set to True to enable saving results (currently unused in this script)\n", "save = False\n", "\n", "# Verbose flag: Set to True to enable detailed logging\n", "verbose = False" ] }, { "cell_type": "markdown", "id": "0a19ed06-3e80-47c4-95da-f407815e02ce", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 2, "id": "4f13d26e-e6f8-46cd-b01a-96371fdb3b6a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Package 'qDNA' is already installed.\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# --------------------------\n", "# Installation of QuantumDNA\n", "# --------------------------\n", "\n", "from importlib.util import find_spec\n", "\n", "qDNA_installed = find_spec('qDNA') is not None\n", "\n", "if not qDNA_installed:\n", " %pip install qDNA\n", " print(\"Successfully installed the 'qDNA' package.\")\n", "else:\n", " print(\"Package 'qDNA' is already installed.\")\n", "\n", "if verbose:\n", " %pip show qDNA \n", "\n", "from qDNA import *\n", "\n", "# ------------------------\n", "# Directory Setup\n", "# ------------------------\n", "\n", "import os\n", "DATA_DIR_QDNA = DATA_DIR\n", "\n", "# Use the current working directory as the root\n", "ROOT_DIR = os.getcwd()\n", "\n", "# Define directories to load data\n", "DATA_DIR = os.path.join(ROOT_DIR, \"data\")\n", "os.makedirs(DATA_DIR, exist_ok=True)\n", "\n", "# Define directory to save figures\n", "SAVE_DIR = os.path.join(DATA_DIR, \"my_figures\")\n", "os.makedirs(SAVE_DIR, exist_ok=True)\n", "\n", "# Define the directory to load figures\n", "FIG_DIR = os.path.join(DATA_DIR_QDNA, \"raw\", \"figures_tutorials\")\n", "\n", "if verbose:\n", " print(f\"Data directory: '{DATA_DIR}' is ready.\")\n", " print(f\"Save directory: '{SAVE_DIR}' is ready.\")\n", " print(f\"Figures directory: '{FIG_DIR}' is ready.\")" ] }, { "cell_type": "markdown", "id": "2a11a543", "metadata": {}, "source": [ "## Average Exciton Probabilities in the Fishbone Ladder Model (FLM)" ] }, { "cell_type": "code", "execution_count": 3, "id": "4b705965-2f77-4a4a-b956-931da4244508", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "filename = '1BNA2'\n", "filepath_pdb = os.path.join(DATA_DIR, \"my_geometries\", \"RCSB\", f\"{filename}.pdb\")\n", "\n", "oligo = Oligomer(filepath_pdb, tb_model_name='FLM')\n", "oligo.save_tb_params()\n", "\n", "tb_sites = [['02B', '03B', '04B'], ['02G', '03C', '04G'], ['23C', '22G', '21C'], ['23B', '22B', '21B']]\n", "tb_ham = TBHam(tb_sites, tb_model_name = 'FLM', source='1BNA2')\n", "\n", "init_state = ('(1, 1)', '(1, 1)') # initial excitation in the middle of the upper strand\n", "end_states = tb_ham.tb_basis\n", "\n", "average_pop_e, average_pop_h, average_pop_ex = [], [], []\n", "for end_state in end_states:\n", " average_pop = tb_ham.get_fourier(init_state, end_state, \"average_pop\")[2]\n", " average_pop_e.append(average_pop[\"electron\"])\n", " average_pop_h.append(average_pop[\"hole\"])\n", " average_pop_ex.append(average_pop[\"exciton\"])\n", "\n", "fig, ax = plt.subplots()\n", "\n", "ax.plot(end_states, average_pop_e, label='electron')\n", "ax.plot(end_states, average_pop_h, label='hole')\n", "ax.plot(end_states, average_pop_ex, label='exciton')\n", "\n", "ax.set_xticks(end_states)\n", "ax.set_xticklabels(end_states, rotation=90, ha='right')\n", "\n", "ax.set_ylabel(\"Average Population\")\n", "ax.set_xlabel(\"TB sites\")\n", "ax.legend()\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "markdown", "id": "7f5c0e07", "metadata": {}, "source": [ "## Customised tight-binding model for light harvesting in the FMO complex" ] }, { "cell_type": "code", "execution_count": 4, "id": "f4a60061-1ae0-4f51-b388-3f92e53ab37a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Image taken from: Quantum Dynamics of Bath Influenced Excitonic Energy Transfer in Photosynthetic Pigment-Protein Complexes, J.W. Abbott, University of Bristol, 2020. DOI: 10.5281/zenodo.7229807.\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 4, "metadata": { "image/png": { "width": 800 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "citation = \"Quantum Dynamics of Bath Influenced Excitonic Energy Transfer in Photosynthetic Pigment-Protein Complexes, J.W. Abbott, University of Bristol, 2020. DOI: 10.5281/zenodo.7229807\"\n", "print(f\"Image taken from: {citation}.\")\n", "Image(filename=os.path.join(FIG_DIR,'FMO_energy_level.png'), width=800)" ] }, { "cell_type": "code", "execution_count": 5, "id": "7933288a-9e32-4048-bcf4-0184eb5f9ff6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using custom TB model: FMO_model\n" ] } ], "source": [ "tb_model_name = 'FMO_model'\n", "\n", "tb_basis = get_tb_basis((1, 7))\n", "tb_config = [('t', tb_basis[0], tb_basis[1]),\n", " ('t', tb_basis[1], tb_basis[2]),\n", " ('t', tb_basis[2], tb_basis[3]),\n", " ('t', tb_basis[3], tb_basis[4]),\n", " ('t', tb_basis[4], tb_basis[5]),\n", " ('t', tb_basis[5], tb_basis[6]),\n", " ('t', tb_basis[6], tb_basis[3]),\n", " ('E', tb_basis[0], tb_basis[0]),\n", " ('E', tb_basis[1], tb_basis[1]),\n", " ('E', tb_basis[2], tb_basis[2]),\n", " ('E', tb_basis[3], tb_basis[3]),\n", " ('E', tb_basis[4], tb_basis[4]),\n", " ('E', tb_basis[5], tb_basis[5]),\n", " ('E', tb_basis[6], tb_basis[6]),\n", " ]\n", "\n", "tb_model = TBModel(7, tb_model_name=tb_model_name, num_channels=1, tb_config=tb_config)" ] }, { "cell_type": "code", "execution_count": 6, "id": "104132bb-7253-4974-a18c-235c298109b0", "metadata": {}, "outputs": [], "source": [ "from qDNA import save_json, load_json, get_conversion\n", "\n", "filename = \"FMO_params\"\n", "tb_params = {'t_BChl1_BChl2': -87.7, 't_BChl2_BChl1': -87.7, 't_BChl2_BChl3': 30.8, 't_BChl3_BChl2': 30.8, 't_BChl3_BChl4': -53.5,\n", " 't_BChl4_BChl3': -53.5, 't_BChl4_BChl5': -70.7, 't_BChl5_BChl4': -70.7, 't_BChl5_BChl6': 81.1, 't_BChl6_BChl5': 81.1,\n", " 't_BChl6_BChl7': 39.7, 't_BChl7_BChl6': 39.7, 't_BChl7_BChl4': -63.3, 't_BChl4_BChl7': -63.3,\n", " 'E_BChl1': 12410, 'E_BChl2': 12530, 'E_BChl3': 12210, 'E_BChl4': 12320, 'E_BChl5': 12480, 'E_BChl6': 12630, 'E_BChl7': 12440}\n", "# all parameters are given in 1/cm \n", "conversion = get_conversion('1/cm', 'rad/ps')\n", "tb_params = {key: value*conversion for key, value in tb_params.items()}\n", "\n", "\n", "save_json(tb_params, os.path.join(DATA_DIR, \"my_tb_params\", filename+'.json') )\n", "tb_params = load_json(os.path.join(DATA_DIR, \"my_tb_params\", filename+'.json') )" ] }, { "cell_type": "code", "execution_count": 7, "id": "bd470ac8-514d-4ec2-bbaa-c99f0cd33267", "metadata": {}, "outputs": [], "source": [ "tb_sites = ['BChl1', 'BChl2', 'BChl3', 'BChl4', 'BChl5', 'BChl6', 'BChl7']\n", "\n", "tb_ham_matrix = tb_ham_1P(tb_model.tb_dims, tb_model.tb_config, tb_model.tb_basis, tb_params, dict(zip(tb_basis, tb_sites)) )\n", "result = q.mesolve(q.Qobj(tb_ham_matrix), q.fock_dm(7,0), np.linspace(0,5,100), [], e_ops=[q.fock_dm(7,0), q.fock_dm(7,2)])" ] }, { "cell_type": "code", "execution_count": 8, "id": "84a441ac-7a85-4235-827b-a3101a134e7b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(result.times, result.expect[0], label=\"Antenna complex\")\n", "ax.plot(result.times, result.expect[1], label=\"Reaction center\")\n", "\n", "ax.legend()\n", "ax.set_xlabel(\"Time [ps]\")\n", "ax.set_ylabel(\"Population\")\n", "\n", "if save:\n", " fig_filename = input(\"Filename for Saving: \")\n", " plt.savefig(os.path.join(SAVE_DIR, fig_filename + '.pdf'))" ] }, { "cell_type": "code", "execution_count": null, "id": "e3b1f70f-59e9-4fa3-b5c4-6c4e50b920f1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.9" } }, "nbformat": 4, "nbformat_minor": 5 }