Controllable optical bistability in a cavity optomechanical system with a Bose-Einstein condensate

TL;DR

This paper explores how optical bistability in a cavity optomechanical system with a Bose-Einstein condensate can be controlled through system parameters, providing insights into stability and physical interpretation.

Contribution

It demonstrates the controllability of optical bistability thresholds and widths via decay rate, coupling strength, and detuning, with stability conditions derived and a physical interpretation provided.

Findings

OB can be tuned by adjusting decay rate, coupling strength, and detuning.

Stability conditions for OB branches are derived using Routh-Hurwitz criterion.

An effective potential offers a simple physical understanding of the system.

Abstract

The optical bistability (OB) in a two-mode optomechanical system with a Bose-Einstein condensate (BEC) is studied. By investigating the behavior of steady state solutions, we show that how OB develops in the system for a certain range of cavity-pump detunings and pump amplitudes. We then investigate the effects of the decay rate of the cavity photons and coupling strength between the cavity and the BEC as well as the pump-atom detuning on the optical behaviour of the system. We find that one can control the OB threshold and width of the bistability curve via adjusting properly the decay rate, coupling strength and the detuning. By applying Routh-Hurwitz criterion, we then derive stability conditions for different branches of the OB curve. Moreover, by introducing an effective potential for the system, a simple physical interpretation is obtained.