# Quantum correlations in optomechanical crystals

## TL;DR

This paper theoretically explores how quantum correlations can be generated and manipulated in a microfabricated optomechanical array, highlighting its potential for quantum simulation and robustness against thermal noise.

## Contribution

It introduces a model for local photon-phonon interactions in optomechanical arrays and demonstrates the generation of quantum correlations under realistic conditions.

## Key findings

- Quantum correlations can be generated in optomechanical arrays.
- Correlations survive and can be thermally generated in the linearized Gaussian regime.
- Optomechanical arrays are promising platforms for quantum simulation.

## Abstract

The field of optomechanics provides us with several examples of quantum photon-phonon interface. In this paper, we theoretically investigate the generation and manipulation of quantum correlations in a microfabricated optomechanical array. We consider a system consisting of localized photonic and phononic modes interacting locally via radiation pressure at each lattice site with the possibility of hopping of photons and phonons between neighboring sites. We show that such an interaction can correlate various modes of a driven coupled optomechanical array with well-chosen system parameters. Moreover, in the linearized regime of Gaussian fluctuations, the quantum correlations not only survive in the presence of thermal noise, but may also be generated thermally. We find that these optomechanical arrays provide a suitable platform for quantum simulation of various many-body systems.