Thermalization Regimes in a Chaotic Tavis-Cummings Model

TL;DR

This paper explores how chaotic Tavis-Cummings models exhibit distinct thermalization regimes influenced by quantum chaos, affecting photon statistics and enabling experimental probing via entangled-biphoton spectroscopy.

Contribution

It demonstrates the emergence of thermalization regimes in a chaotic TC model using ETH and links these regimes to observable photon correlation effects.

Findings

Low interaction regime exhibits thermalization driven by quantum chaos.

High interaction regime suppresses ergodicity and prevents thermalization.

Photon correlation times are affected by the thermalization regimes.

Abstract

This work investigates the emergent thermalization regimes in a chaotic Tavis-Cummings (TC) model and their implications in quantum spectroscopy. While the TC model is a cornerstone of cavity quantum electrodynamics, traditional treatments often overlook many-body effects that arise in the thermodynamic limit. We utilize the Eigenstate Thermalization Hypothesis to demonstrate that a non-integrable excitonic Hamiltonian within the material manifold drives local thermalization. By tuning the polariton splitting $g$, we observe two dynamical regimes: a thermalizing regime at low interactions driven by quantum chaos and ergodicity, and a non-thermalizing regime at high interactions where strong coupling suppresses ergodicity. We further show that these regimes have direct implications on output photon statistics, specifically influencing the correlation times $\tau_c$ of the cavity population and the second-order correlation function $g^{(2)}(t+\tau)$. We propose that entangled-biphoton spectroscopy serves as an ideal experimental platform to probe these effects and to allow the characterization of the underlying many-body exciton-coupling disorder $\sigma$ through coincidence measurements of the output. Taken together, these results exploit a naturally occurring many-body phenomenon to bridge theoretical predictions with experimental observables.