{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Heisenberg antiferromagnetic 1d chain" ] }, { "attachments": { "medium.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ " image taken from https://doi.org/10.1103/PhysRevLett.122.250503" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Import netket\n", "import netket as nk\n", "# Additional libraries\n", "import json\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 1: Defining system parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Size of the system" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "L = 12" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining the lattice" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "lattice = nk.graph.Hypercube(length=L, n_dim=1, pbc=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining Hilbert space based on a lattice:\n", "$$|\\sigma\\rangle = |\\sigma_1^z,\\sigma_2^z,...,\\sigma_L^z\\rangle \\hspace{2cm} \\sigma_i^z = \\pm \\frac{1}{2}$$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "hilbert = nk.hilbert.Spin(s=0.5, graph=lattice, total_sz=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Setting a Hamiltonian:\n", "$$\\hat{H} = \\sum_{i=1}^L \\overrightarrow{\\sigma}_i \\cdot \\overrightarrow{\\sigma}_{i+1} \\hspace{2cm} \\overrightarrow{\\sigma} = (\\sigma^x, \\sigma^y, \\sigma^z)$$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "hamiltonian = nk.operator.Heisenberg(hilbert)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 2: Setting a machine which will represent the ground state Ψ.\n", "In this example it is a Restricted Boltzmann Machine (RBM):" ] }, { "attachments": { "F1.large_2.jpg": { "image/jpeg": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "image taken from https://doi.org/10.1126/science.aag2302 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The variational wavefunction is given by:\n", "$$\\Psi_{RBM}(\\sigma) = \\exp\\left(\\sum_{i=1}^{L} a_i\\sigma_i^z\\right)\\prod_{i=1}^M \\text{cosh} \\left(b_i + \\sum_{j=1}^L W_{ij}\\sigma_j^z\\right) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ratio of hidden units to physical sites $\\alpha = \\frac{M}{L}$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "alpha = 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining a machine to be an RBM" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "machine = nk.machine.RbmSpin(hilbert, alpha=alpha)\n", "machine.init_random_parameters(sigma=0.01)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 3: Setting a metropolis sampler and an optimizer\n", "* Sampler generates physical states $|\\sigma\\rangle$, $|\\sigma'\\rangle$ for which the Hamiltonian terms $\\langle\\sigma|\\hat{H}|\\sigma'\\rangle $ are known. The probability distribution of physical states are taken to be equal to their probability of being in variational ground state $|\\langle \\Psi_{RBM} | \\sigma\\rangle|^2$ \n", "* Optimizer will try to approximate the gradients of a cost function (with respect to variational parameters $\\mathbf{W}$, $\\mathbf{a}$ and $\\mathbf{b}$) given set of physical states generated by sampler and then update the RBM parameters accordingly. For example a simple gradient descent will have following update rules:\n", "$$v_i \\rightarrow v_i + \\delta v_i \\hspace{2cm} \\delta v_i = -\\eta \\nabla_\\mathbf{v}^i C(\\mathbf{v}) $$" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "sampler = nk.sampler.MetropolisExchange(lattice, machine)\n", "optimizer = nk.optimizer.Sgd(learning_rate=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 4: Running the variational monte carlo algorithm" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "ground_state = nk.variational.Vmc(\n", " hamiltonian,\n", " sampler,\n", " optimizer,\n", " n_samples=200,\n", " diag_shift=0.1,\n", " use_iterative=True,\n", " method='Sr')\n", "\n", "start = time.time()\n", "ground_state.run(output_prefix='RBM', n_iter=400)\n", "end = time.time()\n", "\n", "print('### RBM calculation')\n", "print('Has',machine.n_par,'parameters')\n", "print('The RBM calculation took',end-start,'seconds')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Step 5: Extracting relevant information" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Exact solution" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "exact_result = nk.exact.lanczos_ed(hamiltonian, first_n=1,\n", " compute_eigenvectors=True)\n", "exact_gs_energy = exact_result.eigenvalues[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Energy" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "data = json.load(open(\"RBM.log\"))\n", "\n", "iters=[]\n", "energy_RBM=[]\n", "\n", "for iteration in data[\"Output\"]:\n", " iters.append(iteration[\"Iteration\"])\n", " energy_RBM.append(iteration[\"Energy\"][\"Mean\"])\n", "\n", "fig, ax1 = plt.subplots()\n", "ax1.plot(iters, energy_RBM, color='red', label='Energy (RBM)')\n", "ax1.set_ylabel('Energy')\n", "ax1.set_xlabel('Iteration')\n", "plt.axis([0,iters[-1],exact_gs_energy-0.03,exact_gs_energy+0.2])\n", "plt.axhline(y=exact_gs_energy, xmin=0,\n", " xmax=iters[-1], linewidth=2, color='k', label='Exact')\n", "ax1.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bonus: Including symmetries of Hamiltonian" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining a new machine which defines RBM so that it is symmetric in its parameters in respect to translations" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "machine_sym = nk.machine.RbmSpinSymm(hilbert, alpha=alpha)\n", "machine_sym.init_random_parameters(sigma=0.01)\n", "sampler_sym = nk.sampler.MetropolisExchange(lattice, machine_sym)\n", "optimizer_sym = nk.optimizer.Sgd(learning_rate=0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Running the variational monte carlo algorithm" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "ground_state_sym = nk.variational.Vmc(\n", " hamiltonian,\n", " sampler_sym,\n", " optimizer_sym,\n", " n_samples=200,\n", " diag_shift=0.1,\n", " use_iterative=True,\n", " method='Sr')\n", "\n", "start = time.time()\n", "ground_state_sym.run(output_prefix='RBMSymmetric', n_iter=400)\n", "end = time.time()\n", "\n", "print('### Symmetric RBM calculation')\n", "print('Has',machine_sym.n_par,'parameters')\n", "print('The Symmetric RBM calculation took',end-start,'seconds')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Comparing two results" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# import the data from log file\n", "data=json.load(open(\"RBMSymmetric.log\"))\n", "\n", "# Extract the relevant information\n", "energy_symRBM=[]\n", "iters_symRBM=[]\n", "for iteration in data[\"Output\"]:\n", " energy_symRBM.append(iteration[\"Energy\"][\"Mean\"])\n", " iters_symRBM.append(iteration[\"Iteration\"])\n", "\n", "fig, ax1 = plt.subplots()\n", "ax1.plot(iters, energy_RBM, color='red', label='Energy (RBM)')\n", "ax1.plot(iters_symRBM, energy_symRBM, color='blue', label='Energy (Symmetric RBM)')\n", "\n", "ax1.set_ylabel('Energy')\n", "ax1.set_xlabel('Iteration')\n", "plt.axis([0,iters_symRBM[-1],exact_gs_energy-0.06,exact_gs_energy+0.12])\n", "plt.axhline(y=exact_gs_energy, xmin=0,\n", " xmax=iters[-1], linewidth=2, color='k', label='Exact')\n", "ax1.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }