Gutzwiller Monte Carlo approach for a critical dissipative spin model

TL;DR

This paper employs the Gutzwiller Monte Carlo method to simulate a dissipative spin model near a phase transition, capturing classical correlations and on-site quantum effects efficiently, revealing critical behavior missed by simpler models.

Contribution

It introduces a Gutzwiller Monte Carlo approach that includes spatial correlations for simulating dissipative quantum spin models near criticality.

Findings

Identifies ferromagnetic and paramagnetic phases in the model.

Efficiently simulates large lattices with reduced computational complexity.

Captures critical behavior missed by traditional Gutzwiller decoupling.

Abstract

We use the Gutzwiller Monte Carlo approach to simulate the dissipative XYZ-model in the vicinity of a dissipative phase transition. This approach captures classical spatial correlations together with the full on-site quantum behavior, while neglecting non-local quantum effects. By considering finite two-dimensional lattices of various sizes, we identify a ferromagnetic and two paramagnetic phases, in agreement with earlier studies. The greatly reduced numerical complexity the Gutzwiller Monte Carlo approach facilitates efficient simulation of relatively large lattice sizes. The inclusion of the spatial correlations allows to describe critical behavior which is completely missed by the widely applied Gutzwiller decoupling of the density matrix.