Quantum Optomechanics in the Bistable Regime

TL;DR

This paper investigates the bistable regime in quantum optomechanics, analyzing how bistability and detuning influence cooling and entanglement, revealing non-monotonic entanglement behavior with respect to optomechanical coupling.

Contribution

It introduces a unified covariance matrix approach to study cooling and entanglement in the bistable regime, identifying key parameters for maximizing entanglement.

Findings

Entanglement depends on bistability parameter and effective detuning.

Optimal conditions for maximum entanglement are identified.

Entanglement varies non-monotonically with optomechanical coupling.

Abstract

We study the simplest optomechanical system with a focus on the bistable regime. The covariance matrix formalism allows us to study both cooling and entanglement in a unified framework. We identify two key factors governing entanglement, namely the bistability parameter, i.e. the distance from the end of a stable branch in the bistable regime, and the effective detuning, and we describe the optimum regime where entanglement is greatest. We also show that in general entanglement is a non-monotonic function of optomechanical coupling. This is especially important in understanding the optomechanical entanglement of the second stable branch.