Regular Article

Creating mirror–mirror quantum correlations in optomechanics

¹ Department of Physics, Ecole Normale Supérieure (ENS), Mohammed V University, Rabat, Morocco
² LPHE-MS, Department of Physics, Faculty of Sciences, Mohammed V University, Rabat, Morocco
³ LPMC, Department of Physics, Faculty of Sciences Ben M’Sik, University Hassan II, Casablanca, Morocco
⁴ Department of Physics, Faculty of Sciences, University Ibn Tofail, Kénitra, Morocco
⁵ Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151 Trieste, Italy

^a e-mail: amazioug@gmail.com

Received: 22 October 2019
Received in final form: 8 January 2020
Published online: 19 March 2020

Abstract

We study the transfer of quantum correlations between two movable mirrors of two Fabry-Pérot cavities separated via broadband squeezed light and coupled via photon hopping process. We investigate the transfer of quantum correlations from EPR entangled squeezed light to the movable mirrors. We show that Gaussian quantum steering remains lower than entanglement. We employ Gaussian quantum steering to characterize the steerability between the two mechanical modes. The logarithmic negativity is used as the witness of quantum entanglement and Gaussian quantum discord gives the measure of all non classical correlations including entanglement. We conclude that the transfer of quantum correlations is optimal for a strong optomechanical coupling and decreases with the thermal effects. We also conclude that steering, entanglement and discord are directly related to photon hopping coupling and the squeezing parameter.