Eur. Phys. J. B (2018) 91: 268
https://doi.org/10.1140/epjb/e2018-90438-4

Regular Article

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

Universidad Nacional de Colombia – Sede Bogotá, Facultad de Ciencias, Departamento de Física, Carrera 45 No. 26-85, C.P. 111321, Bogotá, Colombia

^a e-mail: jeramirezm@unal.edu.co

Received: 5 July 2018
Received in final form: 23 August 2018
Published online: 1 November 2018

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 that the optimal conditions of the physical parameters maximize the entanglement of phonon-mediated couplings.