Ion-laser-like interaction in optomechanical systems with Kerr nonlinearities

Ramos-Prieto, Irán; Román-Ancheyta, Ricardo; Récamier, J.; Berrondo, M.; Moya‐Cessa, H.

doi:10.1016/j.physleta.2021.127490

Cited by 1 publication

(1 citation statement)

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“…Analyzing the evolution operator (6), we can notice that there is an explicit Kerr-type term in it; therefore, from a physical point of view, we can expect the field inside the cavity to evolve in a similar way as it would in a non-linear Kerr medium [27][28][29][30]. Given the large number of non-classical states that can be produced in a Kerrtype medium, it is evident that this system offers the possibility of producing non-classical states of light.…”

Section: Optomechanical Systemmentioning

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: Optomechanical Systemmentioning

confidence: 99%