Bipartite and tripartite entanglement in an optomechanical ring cavity

TL;DR

This paper investigates stationary bipartite and tripartite entanglement in a coupled optomechanical ring cavity, analyzing how parameters like detuning, coupling strength, temperature, and laser power influence entanglement robustness and optimization.

Contribution

It provides a comprehensive analysis of how various parameters affect stationary entanglement in a ring cavity system, offering insights for quantum information applications.

Findings

Mechanical entanglement depends on detuning and coupling strength.

Higher coupling can sustain entanglement at elevated temperatures.

Entanglement between optical and mechanical modes increases with laser power.

Abstract

Entanglement serves as a core resource for quantum information technologies, including applications in quantum cryptography, quantum metrology, and quantum communication. In this study, we give a unifying description of the stationary bipartite and tripartite entanglement in a coupled optomechanical ring cavity comprising photon and phonon modes. We numerically analyze the stationary entanglement between the optical mode and each mechanical mode, as well as between the two mechanical modes, using the logarithmic negativity. Our results demonstrate that mechanical entanglement between the two mechanical modes is highly dependent on the optical normalized detuning and the mechanical coupling strength, with entanglement maximized within specific detuning intervals and increased coupling broadening the effective range. Furthermore, we study the entanglement's sensitivity to temperature, noting that higher coupling strengths can sustain entanglement at elevated temperatures. The study also reveals that the entanglement between the mechanical mode and the optical mode is enhanced with increasing laser power, but is similarly susceptible to thermal noise. Additionally, we explore tripartite entanglement through the minimum residual contangle, highlighting its dependence on detuning, temperature, and laser power. Our findings underscore the importance of parameter control in optimizing entanglement for quantum information processing applications.