Driven-dissipative criticality within the discrete truncated Wigner approximation

TL;DR

This paper introduces a semiclassical simulation method for open quantum many-body systems that accurately captures critical fluctuations, surpassing mean-field limitations, using a discrete truncated Wigner approximation with a quantum jump formalism.

Contribution

The authors develop a novel numerical approach combining discrete truncated Wigner approximation with quantum jump formalism for open quantum systems, accurate in noninteracting and classical limits.

Findings

Successfully simulates dissipative Ising model

Captures critical fluctuations beyond mean-field theory

Provides an exact method in specific limits

Abstract

We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master equation describing the dynamics of the system, which we find to be exact in both the noninteracting limit and the limit where the system is described by classical rate equations. We apply our method to simulation of the paradigmatic dissipative Ising model, where we are able to capture the critical fluctuations of the system beyond the level of mean-field theory.