Loss of integrability in a system with two-photon interactions

Fuente: arXiv
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Autori principali: Ramírez, Fabrizio, Villaseñor, David, Morales-Guzmán, Viani S., Castro, Darly Y., Hirsch, Jorge G.
Natura: Preprint
Pubblicazione: 2025
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author Ramírez, Fabrizio
Villaseñor, David
Morales-Guzmán, Viani S.
Castro, Darly Y.
Hirsch, Jorge G.
author_facet Ramírez, Fabrizio
Villaseñor, David
Morales-Guzmán, Viani S.
Castro, Darly Y.
Hirsch, Jorge G.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16514
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Loss of integrability in a system with two-photon interactions
Ramírez, Fabrizio
Villaseñor, David
Morales-Guzmán, Viani S.
Castro, Darly Y.
Hirsch, Jorge G.
Quantum Physics
Statistical Mechanics
Chaotic Dynamics
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.
title Loss of integrability in a system with two-photon interactions
topic Quantum Physics
Statistical Mechanics
Chaotic Dynamics
url https://arxiv.org/abs/2506.16514