Non-Markovian dynamics of few emitters in a laser-driven cavity

TL;DR

This paper investigates the non-Markovian behavior in the dissipative dynamics of a laser-driven emitter-cavity system beyond the rotating-wave approximation, linking non-Markovianity to quantum phase transitions.

Contribution

It introduces a method to quantify non-Markovianity in the driven Dicke model and connects it to dissipative quantum phase transitions at high driving amplitudes.

Findings

Non-Markovianity increases near the quantum phase transition.

The Floquet master equation effectively describes weakly coupled dissipative dynamics.

Non-Markovianity serves as an indicator of phase transitions in the system.

Abstract

We study the laser-driven Dicke model beyond the rotating-wave approximation. For weak coupling of the system to environmental degrees of freedom the dissipative dynamics of the emitter-cavity system is described by the Floquet master equation. Projection of the system evolution onto the emitter degrees of freedom results in non-Markovian behavior. We quantify the non-Markovianity of the resulting emitter dynamics and show that this quantity can be used as an indicator of the dissipative quantum phase transition occurring at high driving amplitudes.