Exactness of the mean-field dynamics in optical cavity systems

TL;DR

This paper rigorously proves that the mean-field approach accurately describes the dynamics of large optical cavity systems, even under nonequilibrium conditions and external influences.

Contribution

It provides a rigorous justification for the mean-field approximation in open quantum optical systems in the thermodynamic limit, including nonequilibrium and time-dependent scenarios.

Findings

Mean-field approach is valid in the thermodynamic limit.

Applicable to nonequilibrium conditions with different reservoir temperatures.

Supports further research on macroscopic open quantum systems.

Abstract

Validity of the mean-field approach to open system dynamics in the optical cavity system is examined. It is rigorously shown that the mean-field approach is justified in the thermodynamic limit. The result is applicable to nonequilibrium situations, e.g. the thermal reservoirs may have different temperatures, and the system may be subject to a time-dependent external field. The result of this work will lead to further studies on macroscopic open quantum systems.