A Quantum Kinetic Monte Carlo Method for Quantum Many-body Spin Dynamics

TL;DR

This paper introduces a quantum kinetic Monte Carlo framework for simulating quantum many-body spin dynamics, employing stochastic series expansion methods and tested on systems with up to 40 spins.

Contribution

It presents a novel Monte Carlo algorithm based on stochastic series expansion for quantum spin systems, enhancing simulation capabilities.

Findings

Effective simulation of up to 40 spins

Two different Hamiltonian decompositions tested

Demonstrated efficiency of the proposed methods

Abstract

We propose a general framework of quantum kinetic Monte Carlo algorithm, based on a stochastic representation of a series expansion of the quantum evolution. Two approaches have been developed in the context of quantum many-body spin dynamics, using different decomposition of the Hamiltonian. The effectiveness of the methods is tested for many-body spin systems up to 40 spins.