Thermalization Regimes in a Chaotic Tavis-Cummings Model

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Hauptverfasser: Dambal, Sameer, Bittner, Eric R.
Format: Preprint
Veröffentlicht: 2026
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author Dambal, Sameer
Bittner, Eric R.
author_facet Dambal, Sameer
Bittner, Eric R.
contents 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 $τ_c$ of the cavity population and the second-order correlation function $g^{(2)}(t+τ)$. 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 $σ$ through coincidence measurements of the output. Taken together, these results exploit a naturally occurring many-body phenomenon to bridge theoretical predictions with experimental observables.
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id arxiv_https___arxiv_org_abs_2604_20955
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Thermalization Regimes in a Chaotic Tavis-Cummings Model
Dambal, Sameer
Bittner, Eric R.
Quantum Physics
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 $τ_c$ of the cavity population and the second-order correlation function $g^{(2)}(t+τ)$. 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 $σ$ through coincidence measurements of the output. Taken together, these results exploit a naturally occurring many-body phenomenon to bridge theoretical predictions with experimental observables.
title Thermalization Regimes in a Chaotic Tavis-Cummings Model
topic Quantum Physics
url https://arxiv.org/abs/2604.20955