Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation

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.

Automated summary

We propose a numerical simulation approach for open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to accurately describe the dynamics of the system, which is exact in both the noninteracting limit and the classical rate equation limit. Applying our method to the dissipative Ising model, we are able to capture critical fluctuations beyond mean-field theory.