Variational dynamics of open quantum systems in phase space

TL;DR

This paper introduces a variational phase space method for simulating large open quantum systems, enabling efficient analysis of their dynamics with Monte Carlo sampling, demonstrated on the driven-dissipative Bose-Hubbard model.

Contribution

The paper develops a novel variational approach using phase space distributions and Monte Carlo sampling to efficiently simulate large open quantum systems.

Findings

Efficient simulation of driven-dissipative Bose-Hubbard model.

Evidence of the method's high efficiency and accuracy.

Potential for studying complex quantum dynamics.

Abstract

We present a method to simulate the dynamics of large driven-dissipative many-body open quantum systems using a variational encoding of the Wigner or Husimi-Q quasi-probability distributions. The method relies on Monte-Carlo sampling to maintain a polynomial computational complexity while allowing for several quantities to be estimated efficiently. As a first application, we present a proof of principle investigation into the physics of the driven-dissipative Bose-Hubbard model with weak nonlinearity, providing evidence for the high efficiency of the phase space variational approach.