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In this manuscript, we investigate the enhancement of the transfer of quantum correlations from squeezed light to movable mirrors within an optomechanical system. This enhancement was achieved via the injection of squeezed light in the cavities and via intracavity squeezed light. We quantify the entanglement between mechanical oscillators via logarithmic negativity. We demonstrate that entanglement is influenced by various factors, including the gain of the parametric amplifier, the squeezing parameter characterizing the squeezed light, the rate of the phonon tunneling process, the coupling strength of the photon hopping process and the bath temperature of the mechanical oscillators. We have shown that entanglement can be improved by a convenient choice of coupling strength in the case of the photon hopping process, as well as for specified values of the gain of the parametric amplifier. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

Abstract: The aim of the present paper is the quantification of non-classical correlations between mechanical and optical modes in an optomechanical system with two spatially separated Fabry-Pérot cavities, using resolver sideband regime. To measure the amount of stationary entanglement, we use the criterion of Reid et al, while the evolution of the Gaussian quantum steering and its asymmetry make it possible to study the steerability of the correlations transfer between the different modes. Then, a theoretical study of the robustness of the Gaussian geometric discord (GGD), with respect to the temperature of the environment, is realized, for the two-mode symmetrical squeezed thermal states, to quantify quantum correlations beyond entanglement between mechanical and optical modes. By considering recent experimental parameters, we show that GGD is more robust than entanglement for a high thermal bath temperature. Finally, we find that these three indicators of quantumness enhance with the increase of the squeezing parameter. Graphical abstract: [ABSTRACT FROM AUTHOR]