Pattern Formation Simulated by an Ising Machine

TL;DR

This paper introduces a novel simulation method using an Ising machine to replicate domain pattern formation in ferromagnetic systems, matching results from traditional Monte Carlo simulations.

Contribution

The paper presents a new approach to simulate pattern formation dynamics with an Ising machine, demonstrating comparable results to Monte Carlo methods.

Findings

The method reproduces domain patterns similar to Monte Carlo simulations.

The same domain growth law is observed in both methods.

The approach offers an alternative to traditional simulation techniques.

Abstract

In a ferromagnetic Ising system, domain pattern formation, i.e., phase-ordering, occurs after a sudden quench. We propose the method to simulate the pattern formation dynamics by an Ising machine. We demonstrate that the method reproduces domain patterns similar to those simulated by the Monte Carlo method. Moreover, the same domain growth law is observed in the proposed method and the Monte Carlo method.