Quantum correlations under the effect of a thermal environment in a triangular optomechanical cavity

Abstract

We quantify the stationary correlations between the optical mode and the relative mechanical mode of a ring cavity composed of a fixed mirror and two movable ones in a triangular design. Using a ring cavity configuration not only enhances the optomechanical coupling by the displacement of the two movable mirrors, but also the circulation of the optical power inside the cavity enhances the intensity of the pumping power, not as in the case of a linear cavity. The bipartite covariance matrix is used to evaluate the logarithmic negativity as a measure of entanglement, the Gaussian quantum discord as a measure of total quantum correlations, and the mutual information as a measure of the overall correlations. The behavior of these quantities with respect to the environment’s temperature as well as other parameters, such as the laser pumping power and mass of the movable mirrors, is discussed.