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Loss of integrability in a system with two-photon interactions

Fabrizio Ramírez1, David Villaseñor2,*, Viani S. Morales-Guzmán1, Darly Y. Castro1, and Jorge G. Hirsch1,†

  • *Contact author: d.v.pcf.cu@gmail.com
  • †Contact author: hirsch@nucleares.unam.mx
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Phys. Rev. A 112, 063707 – Published 5 December, 2025

DOI: https://doi.org/10.1103/c618-hql5

Abstract

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.

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Phys. Rev. A 112, 063707– Published 5 December, 2025
  • Received 19 June 2025
  • Accepted 12 November 2025
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