Clauser-Horne-Shimony-Holt Bell inequality test in an optomechanical device

TL;DR

This paper proposes a scheme to test Bell inequality violations using optomechanical systems, specifically by measuring quadrature phase coherence in two coupled optical cavities with a shared mechanical resonator.

Contribution

It introduces a novel method for observing Bell inequality violations in an optomechanical setup through quadrature measurements and EPR-like correlations.

Findings

Potential to observe Bell inequality violation in optomechanical devices

Generation of EPR-like correlations between cavity quadratures

Feasibility depends on system parameters

Abstract

We propose here a scheme, based on the measurement of quadrature phase coherence, aimed at testing the Clauser-Horne-Shimony-Holt Bell inequality in an optomechanical setting. Our setup is constituted by two optical cavities dispersively coupled to a common mechanical resonator. We show that it is possible to generate EPR-like correlations between the quadratures of the output fields of the two cavities, and, depending on the system parameters, to observe the violation of the Clauser-Horne-Shimony-Holt inequality.