The Optomechanical Effects In A Kerr Nonlinear Resonator System

In recent years,quantum cavity optical mechanical systems have developed rapidly and attracted wide attention in theory and experiment.Power system is the most classical by an optical cavity and a nano mechanical oscillator coupled with each other.In microcavity,the radiation pressure produced by photon and phonon on mechanical vibrator makes the mechanical oscillator free vibration near the eigenfrequency,and the mechanical oscillator reacts on the optical field,interacting with each other,The optical mechanical system has many excellent characteristics,such as super high quality factor,ultra high frequency,ultra light effective mass,ultra high sensitivity and so on.Take advantage of these features,it can be used to detect and measure the force and displacement.The interaction of mechanical and optical field freedom through the radiation pressure is undergoing a new mode transformation in the control and measurement of mechanical motion.Optical pressure coupling provide new ideas for new scientific research,It will probably exceed the precision measurement and become a new technology for controlling cooling and enlarging.In addition,the system is more and more widely used in quantum information processing.Optical bistability is of great importance in all nonlinear phenomena in optical cavity mechanical system.Optical bistability has been extensively studied in theory and experiment in optical cavity mechanical system,The effect of the mirror motion are demonstrated in optical bistability in nonlinear optical cavity mechanical system provides new methods and means for quantum information processing.,The conversion of photon and phonon is achieved by using the existing silicon OMC technology.They show that photon and phonon conversion is very important in classical optical communication and quantum information processing.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.