# Mechanical entanglement detection in an optomechanical system

## TL;DR

This paper introduces a novel optomechanical setup with multiple probing tones to generate and detect entanglement between two mechanical resonators by evaluating their collective quadratures.

## Contribution

It presents a new scheme combining two driving pumps and four probing tones for entanglement generation and detection in mechanical resonators.

## Key findings

- Enables generation of two-mode mechanical squeezing.
- Allows separate evaluation of collective mechanical quadratures.
- Facilitates inference of entanglement between resonators.

## Abstract

We propose here a setup to generate and evaluate the entanglement between two mechanical resonators in a cavity optomechanical setting. As in previous proposals, our scheme includes two driving pumps allowing for the generation of two-mode mechanical squeezing. In addition, we include here four additional probing tones, which allow for the separate evaluation of the collective mechanical quadratures required to estimate the Duan quantity, thus allowing us to infer whether the mechanical resonators are entangled.