{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Sampling and Energy Calculation of a Water Molecule\n", "\n", "In this tutorial we explore how to sample the density of a water molecule and compute the total energy of the system using QMC. We first import all the module we will need in the tutorial" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch| ____ __ ______________ _\n", "INFO:QMCTorch| / __ \\ / |/ / ___/_ __/__ ________/ / \n", "INFO:QMCTorch|/ /_/ / / /|_/ / /__ / / / _ \\/ __/ __/ _ \\ \n", "INFO:QMCTorch|\\___\\_\\/_/ /_/\\___/ /_/ \\___/_/ \\__/_//_/ \n", "INFO:QMCTorch|\n", "INFO:QMCTorch|0.4.0\n" ] } ], "source": [ "import numpy as np \n", "import matplotlib.pyplot as plt \n", "from qmctorch.scf import Molecule\n", "from qmctorch.wavefunction import SlaterJastrow\n", "from qmctorch.sampler import Metropolis\n", "from qmctorch.solver import Solver\n", "from qmctorch.utils.plot_data import plot_walkers_traj" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Creating the system" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We now create the `Molecule` object. We use here a water molecule and load the coordinates directly from a file. We also need to specify the quantum chemistry package from which we extract the atomic and molecular orbitals information. We choose here `pyscf` and secpify a `sto-3g` basis set. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| SCF Calculation\n", "INFO:QMCTorch| Reusing scf results from water_pyscf_sto-3g.hdf5\n" ] } ], "source": [ "# define the molecule\n", "mol = Molecule(atom='water.xyz', unit='angs',\n", " calculator='pyscf', basis='sto-3g', name='water')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can now define the wave function ansatz describing the electronic structure of the molecule. We use here a simple `SlaterJastrow` wave function and only include the ground state electronic configuration in the CI expansion. We use here the default Pade Jastrow form of the Jastrow factor. We therefore have a wave function of the type:\n", "\n", "$$\n", "\\Psi(R) = J(R) D^0_\\uparrow(r_\\uparrow) D^0_\\downarrow(r_\\downarrow)\n", "$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| Wave Function\n", "INFO:QMCTorch| Backflow : False\n", "INFO:QMCTorch| Jastrow factor : True\n", "INFO:QMCTorch| Jastrow kernel : ee -> PadeJastrowKernel\n", "INFO:QMCTorch| Highest MO included : 7\n", "INFO:QMCTorch| Configurations : ground_state\n", "INFO:QMCTorch| Number of confs : 1\n", "INFO:QMCTorch| Kinetic energy : jacobi\n", "INFO:QMCTorch| Number var param : 81\n", "INFO:QMCTorch| Cuda support : False\n" ] } ], "source": [ "wf = SlaterJastrow(mol, configs='ground_state')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We now define the a Metropolis sampler, using only 100 walkers. Each walker contains here the positions of the 10 electrons of molecule. The electrons are initially localized around their atomic center, i.e. 8 around the oxygen atom and 1 around each hydrogen atom. We also specify here that the sampler will perform 500 steps with a step size of 0.25 bohr. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| Monte-Carlo Sampler\n", "INFO:QMCTorch| Number of walkers : 100\n", "INFO:QMCTorch| Number of steps : 500\n", "INFO:QMCTorch| Step size : 0.25\n", "INFO:QMCTorch| Thermalization steps: -1\n", "INFO:QMCTorch| Decorelation steps : 1\n", "INFO:QMCTorch| Walkers init pos : atomic\n", "INFO:QMCTorch| Move type : all-elec\n", "INFO:QMCTorch| Move proba : normal\n" ] } ], "source": [ "sampler = Metropolis(nwalkers=100, nstep=500, step_size=0.25,\n", " nelec=wf.nelec, ndim=wf.ndim,\n", " init=mol.domain('atomic'),\n", " move={'type': 'all-elec', 'proba': 'normal'})" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can finally initialize the solver that will run the calculation" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| QMC Solver \n", "INFO:QMCTorch| WaveFunction : SlaterJastrow\n", "INFO:QMCTorch| Sampler : Metropolis\n" ] } ], "source": [ "solver = Solver(wf=wf, sampler=sampler)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling the density\n", "We can use the wave function and the sampler we just defined to obtain sample of the electronic density. We can for example then plot the positions of the individual electrons in the plane of the molecule to vizually inspect the result of the sampling." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:QMCTorch| Sampling: 100%|██████████| 500/500 [00:04<00:00, 106.90it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch| Acceptance rate : 2.52 %\n", "INFO:QMCTorch| Timing statistics : 106.86 steps/sec.\n", "INFO:QMCTorch| Total Time : 4.68 sec.\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = sampler(wf.pdf)\n", "pos = pos.reshape(100,10,3).cpu().detach().numpy()\n", "plt.scatter(pos[:,:,0],pos[:,:,1],s=0.5)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Following indiviudal electron path\n", "By default the sampler only record the position of the electrons at the very last step of the sampling process. We can however change and record all the positions of the electrons during the sampling to be able to track them. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| Monte-Carlo Sampler\n", "INFO:QMCTorch| Number of walkers : 1\n", "INFO:QMCTorch| Number of steps : 500\n", "INFO:QMCTorch| Step size : 0.25\n", "INFO:QMCTorch| Thermalization steps: 0\n", "INFO:QMCTorch| Decorelation steps : 1\n", "INFO:QMCTorch| Walkers init pos : atomic\n", "INFO:QMCTorch| Move type : all-elec\n", "INFO:QMCTorch| Move proba : normal\n" ] } ], "source": [ "sampler_singlewalker = Metropolis(nwalkers=1, nstep=500, step_size=0.25,\n", " nelec=wf.nelec, ndim=wf.ndim,\n", " ntherm=0, ndecor=1,\n", " init=mol.domain('atomic'),\n", " move={'type': 'all-elec', 'proba': 'normal'})" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:QMCTorch| Sampling: 100%|██████████| 500/500 [00:03<00:00, 158.01it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch| Acceptance rate : 2.20 %\n", "INFO:QMCTorch| Timing statistics : 157.84 steps/sec.\n", "INFO:QMCTorch| Total Time : 3.17 sec.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] }, { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = sampler_singlewalker(wf.pdf)\n", "pos = pos.reshape(-1,10,3).detach().numpy()\n", "plt.plot(pos[:,:,0], pos[:,:,1], marker=\"o\", ls='--')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Energy Calculation\n", "To compute the energy of the system we first need to create a solver object that will handle all the orchestration of the calculation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| QMC Solver \n", "INFO:QMCTorch| WaveFunction : SlaterJastrow\n", "INFO:QMCTorch| Sampler : Metropolis\n" ] } ], "source": [ "solver = Solver(wf=wf, sampler=sampler)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The energy can then be directly calculated" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch|\n", "INFO:QMCTorch| Single Point Calculation : 100 walkers | 500 steps\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO:QMCTorch| Sampling: 100%|██████████| 500/500 [00:06<00:00, 80.76it/s] " ] }, { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch| Acceptance rate : 2.46 %\n", "INFO:QMCTorch| Timing statistics : 80.74 steps/sec.\n", "INFO:QMCTorch| Total Time : 6.19 sec.\n", "INFO:QMCTorch| Energy : -77.467934 +/- 3.076719\n", "INFO:QMCTorch| Variance : 946.619812\n", "INFO:QMCTorch| Size : 100\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "obs = solver.single_point()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Sampling Trajectory\n", "We can also follow how the total energy thermalize during the sampling process. To this end we need to record the positions of the walkers during the sampling and not just at the end of it. We can then compute the local energies and the total energy at each recorded step of the trajectory. We can either create a new sampler or simply change the configuration of the sampler already included in our solver. We will put the number of thermalization steps to 0 and the number of decorellation step to 5." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "solver.sampler.ntherm = 0\n", "solver.sampler.ndecor = 5" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can then resample the density and compute the local energy values along the sampling trajectory and finnaly plot it." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:QMCTorch| Sampling: 100%|██████████| 500/500 [00:15<00:00, 32.11it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "INFO:QMCTorch| Acceptance rate : 2.65 %\n", "INFO:QMCTorch| Timing statistics : 32.11 steps/sec.\n", "INFO:QMCTorch| Total Time : 15.57 sec.\n", "INFO:QMCTorch|\n", "INFO:QMCTorch| Sampling trajectory\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO:QMCTorch| Energy : 100%|██████████| 100/100 [00:10<00:00, 9.76it/s]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pos = solver.sampler(solver.wf.pdf)\n", "obs = solver.sampling_traj(pos)\n", "plot_walkers_traj(obs.local_energy, walkers='mean')" ] } ], "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": "3.8.0" } }, "nbformat": 4, "nbformat_minor": 4 }