Stochastic classical field model for polariton condensates

TL;DR

This paper develops a stochastic classical field model for polariton condensates using the truncated Wigner approximation, enabling analysis of coherence and momentum distribution across the condensation threshold.

Contribution

It introduces a novel stochastic classical field framework for polariton condensates that connects to Boltzmann dynamics at low densities.

Findings

Monte Carlo simulations reveal coherence properties near the condensation threshold.

The model accurately captures momentum distribution changes with density.

The equations reduce to the Boltzmann equation at low polariton densities.

Abstract

We use the truncated Wigner approximation to derive stochastic classical field equations for the description of polariton condensates. Our equations are shown to reduce to the Boltzmann equation in the limit of low polariton density. Monte Carlo simulations are performed to analyze the momentum distribution and the first and second order coherence when the particle density is varied across the condensation threshold.