Controllability of optical bistability, cooling and entanglement in hybrid cavity optomechanical systems by nonlinear atom-atom interaction

TL;DR

This paper explores how nonlinear atom-atom interactions influence optical bistability, cooling, and entanglement in a hybrid cavity optomechanical system, enabling controllable optical switching and mode frequency tuning.

Contribution

It demonstrates the control of optical bistability and secondary mode frequency via atomic collisions in a Bose-Einstein condensate within a hybrid cavity system.

Findings

Optical bistability can be controlled by s-wave scattering frequency.

The Bogoliubov mode can be cooled and entangled with the cavity field.

Secondary mode frequency is tunable through atom-atom interactions.

Abstract

We investigate the effects of atomic collisions as well as optomechanical mirror-field coupling on the optical bistability in a hybrid system consisting of a Bose-Einstein condensate inside a driven optical cavity with a moving end mirror. It is shown that the bistability of the system can be controlled by the s-wave scattering frequency which can provide the possibility of realizing a controllable optical switch. On the other hand, by studying the effect of the Bogoliubov mode, as a secondary mechanical mode relative to the mirror vibrations, on the cooling process as well as the bipartite mirror-field and atom-field entanglements we find an interpretation for the cooling of the Bogoliubov mode. The advantage of this hybrid system in comparison to the bare optomecanical cavity with a two-mode moving mirror is the controllability of the frequency of the secondary mode through the s-wave scattering interaction.