Entanglement and Gaussian interferometric power dynamics in an optomechanical system with radiation pressure

We investigate the non-classical correlations existing in the mixed bipartite state consisting of the reflected optical 1 mode and the mechanical mode (movable mirror). The covariance matrix is calculated when the state of each mode is initially in a vacuum. We consider the criterion of positivity of the partially transposed state (PPT criterion) to quantify the dynamical evolution of the entanglement between the reflected optical 1 and the movable mirror modes using the smallest symplectic eigenvalue. Then we use Gaussian quantum steering to measure the steer-ability between the two modes. We also consider the Gaussian interferometric power to quantify the quantum correlations that exist beyond entanglement.