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arXiv:2410.01416 · Chaos An Interdisciplinary Journal of Nonlinear Science

Two-level atom witness of thermalization of multimode optical fibers

Michał Wanic, Рамаз Хомерики, S. Stagraczyński, Mikhail I. Katsnelson, Z. Z. Toklikishvili, L. Chotorlishvili

Published Aug 1, 2025• 1 citation
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Abstract

In the present project, we study the dynamics of the two-level system coupled with the multimode optical system. In particular, we considered a square lattice of optical fibers. We aimed to answer whether we can infer information about the thermalization of optical modes through the thermalization of two-level atoms. After averaging over the set of modes, the dynamic of the two-level system is free of quantum revivals, and that is the signature of thermalization. We showed that the temperature of the two-level system increases with the temperature of optical modes and mean photon number. In the high-temperature limit of optical modes, the temperature of the two-level system tends to be infinity, and level populations are equal.

DOI
10.1063/5.0278293

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Thermalization of isolated quantum systems is an intriguing phenomenon at the forefront of contemporary physics. In this work, we demonstrate that nonlinear multimode optical platforms can be harnessed to induce effective quantum interactions between photons. Through numerical experiments where quantum beams propagate alongside classical light within multimode nonlinear optical systems, we reveal the thermalization of fundamental quantum light states--specifically single- and two-photon states. This thermalization is clearly manifested by the emergence of Rayleigh-Jeans and Boltzmann statistical distributions. Beyond providing a deeper understanding of how classical nonlinearities can be used to investigate quantum many-body dynamics, our findings will enable the exploration of a broader range of complex quantum phenomena, including aspects of quantum phase transitions, within readily accessible classical optical settings.