Entanglement Generation Between Two Mechanical Resonators in Two Optomechanical Cavities

TL;DR

This paper investigates how entanglement can be generated and transferred between two mechanical resonators in separate optomechanical cavities coupled via photon hopping, using analytical solutions close to experimental conditions.

Contribution

It introduces a model demonstrating entanglement transfer from intracavity photon-phonon to inter-cavity photon-photon or phonon-phonon entanglement in coupled optomechanical systems.

Findings

Entanglement between mechanical resonators can be achieved via photon hopping.

Entanglement transfer from intracavity to inter-cavity modes is possible.

Analytical solutions align with current experimental parameters.

Abstract

A standard model is suggested to explore correlation features of two spatially separated optomechanical cavities. The cavities are coupled through the photon-hopping process. In particular, we investigate the generation of entanglement between mechanical resonators in the strong coupling regime and the two cavities are assumed to be driven by a coherent laser field. In order to quantify entanglement we use the logarithmic negativity. The analytical solutions are presented for the system in a parameter regime very close to the current experimental results. We show that in the presence of the photon hopping process between the cavities, the two mechanical resonators and the field modes can be entangled. This shows clearly that the entanglement can be transfer via radiation pressure of a photon hopping coupling from the intracavity photon-phonon entanglements to an inter-cavity photon-photon or phonon-phonon entanglement.