Creating mirror-mirror quantum correlations in optomechanics

TL;DR

This paper investigates how quantum correlations, including entanglement, steering, and discord, can be transferred from entangled light to mechanical mirrors in optomechanical systems, highlighting the roles of coupling strength and thermal effects.

Contribution

It demonstrates the transfer of quantum correlations to mechanical mirrors via broadband squeezed light and analyzes the influence of system parameters on this process.

Findings

Quantum correlations transfer is optimal at strong optomechanical coupling.

Steering remains lower than entanglement during transfer.

Quantum correlations decrease with thermal effects.

Abstract

We study the transfer of quantum correlations between two movable mirrors of two Fabry-P\'erot cavities separated via broadband squeezed light and coupled via photon hopping process. We investigate the transfer of quantum correlations from EPR entangled squeezed light to the movable mirrors. We show that Gaussian quantum steering remains lower than entanglement. We employ Gaussian quantum steering to characterize the steerability between the two mechanical modes. The logarithmic negativity is used as the witness of quantum entanglement and Gaussian quantum discord gives the measure of all non classical correlations including entanglement. We conclude that the transfer of quantum correlations is optimal for a strong optomechanical coupling and decreases with the thermal effects. We also conclude that steering, entanglement and discord are directly related to photon hopping coupling and the squeezing parameter.