Beyond mean-field dynamics of the Dicke model with non-Markovian dephasing

TL;DR

This paper introduces a density matrix-based formalism to accurately model the beyond mean-field dynamics of the Dicke model with non-Markovian dephasing, revealing new time scales and correcting initial state dependencies.

Contribution

It develops a novel density matrix approach combined with tensor network influence functionals for non-Markovian quantum optical systems, improving upon mean-field methods.

Findings

Corrects spurious initial state dependence in mean-field dynamics

Identifies new emergent time scales in the system

Applicable to finite temperature quantum optical systems

Abstract

We present a density matrix-based time dependent projection operator formalism to calculate the beyond mean-field dynamics of systems with non-Markovian local baths and one-to-all interactions. Such models encapsulate the physics of condensed phase systems immersed in optical cavities. We use this method, combined with tensor network influence functionals, to study the dynamics of the Dicke model coupled to non-Markovian local dephasing baths at zero temperature, which has a superradiant phase transition in the mean-field limit. The method corrects a spurious initial state dependence found in the mean-field dynamics and describes the emergence of new time scales which are absent in the mean-field dynamics. Our formalism, based on density matrices, is applicable to other quantum optical systems with one-to-all interactions at finite temperatures.