Abstract
In this paper, we investigate the robustness of quantum correlations in a typical optomechanical quantum source. In particular, we consider two spatially separable optomechanical systems composed of Fabry–Perot cavities. We provide analytic expressions for the covariance matrix of the whole system involving two mechanical modes and two optical modes. We used the logarithmic negativity to quantify the degree of entanglement and the Gaussian quantum discord which is considered to be a witness of the quantumness of correlations in a pairwise system. The behavior of the degrees of the Gaussian quantum discord and entanglement have been analyzed according to the thermal mean photon number, squeezing parameter, and optomechanical cooperativity. With the proper choice of these parameters, it is possible to enhance the quantum correlations in the system. Henceforth, we obtained that the Gaussian quantum discord captured more non-classical properties in comparison with entanglement in various partitions of the optomechanical system under consideration.
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