Dynamics of Two-Level Atom in Cavity Optomechanics: Strong Coupling Limit Study

This article explores the dynamics of an optomechanical system consisting of a single movable mirror and a two-level atom in the strong coupling limit, initially considering a vacuum mechanical mode. The impact of varying cavity-mirror and atom-photon couplings is analyzed across different limits. Coherent states and Fock states for the cavity mode are investigated, revealing that the mirror's position and atomic inversion patterns are predominantly influenced by the initial cavity state. The study includes an investigation of the linear entropy between the atom and the subsystem. Notably, the system exhibits strong nonclassical behavior that is absent when the atom is not present. Specifically, the mechanical mode displays sub-Poissonian statistics when interacting with a vacuum cavity mode and exhibits mechanical squeezing when initialized with a two-photon state. A search technique is developed to uncover additional mechanical nonclassical features by adjusting the coupling parameters and adapting the input Fock state accordingly.