Quantum correlations between two distant cavity QED systems coupled by a mechanical resonator

TL;DR

This paper explores how mechanical resonators can mediate quantum correlations between two distant cavity QED systems, revealing conditions for optimal entanglement and non-local light-matter states.

Contribution

It introduces a model for phonon-mediated quantum correlations between separated cavity QED systems and identifies optimal parameters for maximizing entanglement.

Findings

Quantum correlations can be established via mechanical resonators.

Optimal conditions enhance phonon-mediated entanglement.

Non-local light-matter dressed states are observed.

Abstract

Achieving quantum correlations between two distant systems is a desirable feature for quantum networking. In this work, we study a system composed of two quantum emitter-cavity subsystems spatially separated. A mechanical resonator couples to either both quantum emitters or both cavities leading to quantum correlations between both subsystems such as non-local light-matter dressed states and cavity-cavity normal mode splitting. These indirect couplings can be explained by an effective Hamiltonian for large energy detuning between the mechanical resonator and the atoms/cavities. Moreover, it is found optimal conditions for the physical parameters of the system in order to maximize the entanglement of such phonon-mediated couplings.