A Lie algebraic approach to a nonstationary atom-cavity system
C. A. Gonz\'alez-Guti\'errez, O. de los Santos-S\'anchez, R., Rom\'an-Ancheyta, M. Berrondo, and J. R\'ecamier
TL;DR
This paper introduces a Lie algebraic method to analyze photon generation in a nonstationary atom-cavity system, providing approximate solutions that align well with numerical results across various regimes.
Contribution
It presents a novel Lie algebraic approach to approximate the dynamics of a nonstationary atom-cavity system, extending analysis beyond traditional regimes.
Findings
Good agreement between approximate and numerical results
Effective analysis across resonant and dispersive regimes
Method applicable to different parameter regions
Abstract
In this work we study the generation of photons inside an ideal cavity with resonantly oscillating boundaries in the presence of a two-level atom. We make use of Lie algebraic techniques to obtain an approximate time-evolution operator and evaluate not only the resonant and dispersive regimes but also explore different regions of parameters. We have found a very good agreement between our approximate results and those obtained by numerical means.
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