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

• URL: http://arxiv.org/abs/2309.16087v2
• Date: Thu, 21 Dec 2023 21:10:05 GMT
• Title: Temporal evolution of a driven optomechanical system in the strong coupling regime
• Authors: L. Medina-Dozal, J. R\'ecamier, H. M. Moya-Cessa, F. Soto-Eguibar, R. Rom\'an-Ancheyta, I. Ramos-Prieto and A. R. Urz\'ua
• Abstract summary: We obtain a time-evolution operator for a forced optomechanical quantum system. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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, $G/\omega_m$, is not negligible compared to one. 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.

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