  We show the quantum correlation between two coupled hybrid optomechanical
cavities by quantifying the non-classical correlation using Gaussian quantum
discord. This involves analyzing and solving Heisenberg Langevin equations to
obtain the (12*12)dimensional covariance matrix of this system. Based on the
experimentalist conditions, we simulate quantum correlation of bipartite
steady-state with continuous conditions using Guassian quantum discord. We know
that the generation of quantum correlation and its robustness essentially
depend on the physical parameters of the system. We provide the stability
analysis by means of the RuthsHurwitz criterion to confirm the choices made
during the analysis of quantum discord dynamics.
