Mirrors–light–atoms entanglement in ring optomechanical cavity

Abstract

The present paper illustrates the realization of an atom-optomechanical system where an atomic ensemble is confined in a ring optomechanical cavity consisting of a fixed mirror and two movable ones. An analysis of the dynamics and the linearization of the equations allows us to derive the multimode covariance matrix. Under realistic experimental conditions, we numerically simulate the steady-state bipartite and tripartite continuous variable entanglement using the logarithmic negativity and analyze the shared entanglement in the multimode system. The introduction of the atomic medium is responsible for a more expansive plateau of entanglement indicating its robustness against temperature-induced decoherence effects.