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

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 / ω m , is not negligible compared to one, i.e., the system operates in the strong-couplin...

Full description

Saved in:
Bibliographic Details
Published in:Physica scripta 2024-01, Vol.99 (1), p.15114
Main Authors: Medina-Dozal, L, Récamier, J, Moya-Cessa, H M, Soto-Eguibar, F, Román-Ancheyta, R, Ramos-Prieto, I, Urzúa, A R
Format: Article
Language:English
Subjects:
Lie algebra
optomechanics
quantum optics
strong coupling
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 / 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.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ad15cf