Approximate Evolution for a Open Hybrid System: An Optomechanical Jaynes-Cummings Model

Medina, Luis Carlos; Récamier, J.

doi:10.1007/s10773-022-05210-x

Cited by 1 publication

(1 citation statement)

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“…In [8], the authors studied a similar tripartite system consisting of a pumped optomechanical cavity and a two-level atom coupled with the intracavity field. In [9] an approximate study of the temporal evolution for an optomechanical Jaynes-Cummings model (JCM) incorporating a non-perfect cavity, so that photons may escape, and a two-level atom that may decay spontaneously was considered. The authors made an extension of the treatment presented in [10] for the study of quantum collapses and revivals in an optical cavity.…”

Section: Introductionmentioning

confidence: 99%

Temporal evolution of a driven optomechanical system in the strong coupling regime

Medina-Dozal,

Récamier,

Moya-Cessa

et al. 2023

Phys. Scr.

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We obtain a time-evolution operator for a forced optomechanical quantum system using Lie algebraic methods when the normalized coupling between the electromagnetic field and a mechanical oscillator, G/ω m , is not negligible compared to one, i.e., the system operates in the strong-coupling regime. Due to the forcing term, the interaction picture Hamiltonian contains the number operator in the exponents, and in order to deal with it, we approximate these exponentials by their average values taken between initial coherent states. Our approximation is justified when we compare our results with the numerical solution of the number of photons, phonons, Mandel parameter, and the Wigner function, showing an excellent agreement. In contrast to other works, our approach does not use the standard linearized description in the optomechanical interaction. Therefore, highly non-classical (non-Gaussian) states of light emerge during the time evolution.

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Section: Introductionmentioning

confidence: 99%