Bell Nonlocality Test on Two-Mode Squeezed Output Generated in Double-Cavity Optomechanical

TL;DR

This paper investigates how reservoir engineering in double-cavity optomechanical systems can generate two-mode squeezed outputs and examines the relationship between squeezing, nonlocality, and mixedness through Bell inequality violations.

Contribution

It demonstrates that nonlocal correlations can occur in states with lower squeezing and explores how cavity finesse affects nonlocality and squeezing regions.

Findings

Maximal squeezing does not always lead to nonlocality.

Nonlocal correlations can emerge in states with lower squeezing.

The parameter region supporting nonlocality can expand even as squeezing diminishes.

Abstract

We explore here how to generate a two-mode squeezed output using reservoir engineering in a double-cavity optomechanical system coupled to a common mechanical resonator. Such hybrid platforms are experimentally accessible in electro-optomechanical interfaces and are relevant for high-fidelity state transfer, quantum communication, and metrological applications. By examining violations of the CHSH Bell inequality, we demonstrate that maximal squeezing does not necessarily imply nonlocality; instead, nonlocal correlations can emerge in states with lower squeezing. Furthermore, by analyzing the CHSH inequality across different cavity finesse values, we find that the parameter region supporting nonlocality can broaden even as the squeezing region shrinks. Across all regimes considered, our results emphasize the crucial influence of the mixedness of the state in determining the relationship between squeezing and nonlocality.