Long-time signatures of chaos in large atom-light frequency ratios Rabi model

TL;DR

This paper investigates long-time quantum signatures of chaos in the large atom-light frequency ratios Rabi model, revealing how entanglement entropy and phase space distributions distinguish chaotic from regular dynamics.

Contribution

It demonstrates the relationship between quantum chaos indicators and semiclassical phase space in the large atom-light frequency ratios Rabi model, highlighting the persistence of classical-quantum correspondence.

Findings

Higher saturated entanglement entropy in chaotic regions

More dispersed Husimi Q functions in chaotic states

Long-time averages align with semiclassical phase space

Abstract

As one of the famous effects in quantum Rabi model (QRM), Rabi oscillation may lead to the occurrence of quantum dynamics behaviors without classical dynamic counterparts, such as quantum collapse and revival effects. In this paper, we focus on studying the long-time quantum signatures of chaos in the large atom-light frequency ratios Rabi model. It is shown that the saturated values of the entanglement entropy for initial states located in chaotic sea are higher than that in the regular regions, and the Husimi Q function are more dispersed in phase space. Moreover, we observed that the long-time average entanglement entropy and spin variance correspond well with the semiclassical phase space. Our results imply that the correspondence principle does not invalidated by quantum collapse and revival effects in the large atom-light frequency ratios Rabi model.