Dissipative Dicke model with non-linear atom-photon interaction

TL;DR

This paper investigates a generalized Dicke model incorporating cavity dissipation and non-linear atom-photon interactions, analyzing quantum effects and finite atom numbers to reveal novel behaviors and agreement with semiclassical predictions.

Contribution

It introduces a quantum analysis of a non-linear, dissipative Dicke model with finite atoms, extending previous semiclassical studies and uncovering new quantum phenomena.

Findings

Good agreement between quantum and semiclassical results as N increases

Exotic quantum behaviors emerge with varying non-linear coupling

Finite atom number effects are significant in the model

Abstract

We study a generalized Dicke model, as recently realized in an atomic quantum gas experiment, describing the collective interaction of N two-level atoms with a single cavity mode. The model takes account of dissipation of the cavity field, and includes a non-linear atom-photon coupling, not present in the conventional Dicke model. We extend previous theoretical investigations of a semiclassical model by including all quantum effects and considering finite atom number N . Our results show good agreement between quantum expectation values and the semiclassical model as N is increased, but also show exotic behaviour for the corresponding quantum state as the non-linear atom-photon coupling is varied.