Bipartite mechanical systems of a laser-driven optomechanical cavity

We investigate the correlation of mechanical systems of nondegenerate three-level laser with parametric oscillator in optomechanical cavity coupled to a two-mode squeezed vacuum reservoir. The quantum properties of the mechanical systems as a result of the correlation have been analyzed using the expectation values of mechanical mode variables at steady state and the eigenvalues of the reduced covariance matrix of the two sub-mechanical systems. The logarithmic negativity, steerability, and quantum discord criterion for entanglement, steerability, and quantum discord, respectively confirm that bipartite sub-mechanical systems are correlated. The results show that the bipartite sub-mechanical systems exhibit entanglement two-way steering and non-classical correlation or quantum discord. Moreover, the sub-mechanical system exhibits squeezing in the minus quadrature or momentum. The correlation properties of sub-mechanical systems are depend on the reservoir but the cavity laser has no effect on the quantum correlation of the sub-mechanical systems.