Dynamic entanglement transfer in a double-cavity optomechanical system

TL;DR

This paper theoretically investigates how entanglement can be transferred between two optical cavities via a mechanical resonator in a double-cavity optomechanical system, revealing regimes of entanglement dynamics including buildup and revival.

Contribution

It introduces a model for entanglement transfer mediated by a mechanical resonator in a double-cavity setup, highlighting distinct dynamical regimes of entanglement evolution.

Findings

Entanglement transfer from photon-phonon to photon-photon occurs via the resonator.

Two regimes identified: saturation of entanglement and death-revival cycles.

Numerical solutions demonstrate the conditions for different entanglement dynamics.

Abstract

We give a theoretical study of a double-cavity system in which a mechanical resonator beam is coupled to two cavity modes on both sides through radiation pressures. The indirect coupling between the cavities via the resonator sets up a correlation in the optomechanical entanglements between the two cavities with the common resonator. This correlation initiates an entanglement transfer from the intracavity photon-phonon entanglements to an intercavity photon-photon entanglement. Using numerical solutions, we show two distinct regimes of the optomechanical system, in which the indirect entanglement either builds up and eventually saturates or undergoes a death-and-revival cycle, after a time lapse for initiating the cooperative motion of the left and right cavity modes.