The Nonlinear Effects of a Kerr-Resonator Optomechanical System

Optomechanics describes the interaction of optical field with mechanical systems via radiation pressure which provides the interface between photons and phonons. Recently, the study of nonlinear behavior of optomechanical system attracts much attention. This paper studies theoretically the nonlinear behavior due to the presence of a Kerr nonlinear crystal inside an optomechanical microcavity. We first give an effective Hamiltonian of the system, then by solving the amplitude of both the optical and mechanical operators, two kinds of nonlinear effects, the bistability and the parametric gain on the mechanical mode of the system, are investigated. Moreover, we find that the intensity of the mechanical mode could be controlled in the presence of the nonlinear media.