Dynamics of a hybrid optomechanical system in the framework of the generalized linear response theory

TL;DR

This paper theoretically investigates the linear response of a driven-dissipative hybrid optomechanical system involving a Bose-Einstein condensate, revealing how atom interactions influence resonances and anti-resonance phenomena.

Contribution

It introduces a generalized linear response framework to analyze the optical and atomic modes in a hybrid BEC optomechanical system, highlighting the role of atom-atom interactions.

Findings

Atom-atom interactions modify the system's normal resonances.

The anti-resonance frequency is affected by these interactions.

Optical spectral density and self-energy explain the anti-resonance phenomenon.

Abstract

We present a theoretical study of the linear response of a driven-dissipative hybrid optomechanical system consisting of an interacting one-dimensional Bose-Einstein condensate (BEC) to an external time-dependent perturbation in the framework of the generalized linear response theory. Using the equations of motion of the open quantum system Green's function, we obtain the linear responses of the optical and atomic modes of the hybrid system and show how the atom-atom interaction of the BEC atoms affects the two normal resonances of the system as well as the anti-resonance frequency at which the optical field amplitude of the cavity becomes zero. Furthermore, an interpretation of the anti-resonance phenomenon is presented based on the the optical spectral density and the self-energy.