Loss of integrability in a system with two-photon interactions

TL;DR

This paper investigates the two-photon Dicke model, revealing how it loses integrability and transitions to chaos, with implications for quantum phase transitions and dynamical behavior in light-matter systems.

Contribution

It provides a detailed analysis of the loss of integrability in the two-photon Dicke model using quantum and classical diagnostics, highlighting dynamical chaos and phase-space behavior.

Findings

Spectral collapse and phase transition identified in the model

Loss of integrability leads to chaotic dynamics

Mixed phase-space behavior observed

Abstract

Light-matter systems that exhibit two-photon interactions have emerged as powerful platforms for exploring quantum applications. In this work, we focus on the two-photon Dicke model, a system of significant experimental relevance that displays spectral collapse and undergoes a phase transition from a normal to a superradiant phase. We analyze the normal phase, where a classical limit with two degrees of freedom can be derived using a mean-field approximation. Our study presents a detailed investigation of the loss of integrability in the two-photon Dicke model, employing both quantum and classical diagnostics. These results allow us to explore various dynamical features of the system, including the onset of chaos and the existence of mixed phase-space behavior.