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.
@article{arxiv.1807.01823,
title = {Quantum correlations between two distant cavity QED systems coupled by a mechanical resonator},
author = {J. E. Ramírez-Muñoz and J. P. Restrepo Cuartas and H. Vinck-Posada},
journal= {arXiv preprint arXiv:1807.01823},
year = {2018}
}