The Optical Nonlinear Phenomena In An Optomechanical System With A Cubic Anharmonic Oscillator

Cavity optomechanical system,as an ideal platform to study the coupling between optical modes and mechanical modes,has attracted wide attention in fields of quantum optics and precision measurement in recent years,and the study of the cavity optomechanical system has made remarkable achievements.At the same time,benefited from the rapid development of nano science and technology,the space scale of mechanical oscillator is becoming smaller in experiments,and more significant quantum effects can be realized in cavity optomechanical system.The coupling between micronano mechanical oscillator and cavity mode can be achieved easily,and its application is becoming more and more extensive.The intrinsic nonlinear effect of cavity optomechanical system plays an important role in high precision measurement and quantum information processing,among which the electromagnetically induced transparency,optomechanically induced transparency and the modulation of fast and slow light are the research hotspots.The nonlinear effect of mechanical oscillator can be used to prepare non-classical mechanical states,so as to achieve the modulation of the nonlinear effect of the cavity optomechanically system.Conversely,the nonlinear effect of the system can be detected according to the output spectral properties.optomechanically induced transparency has been successfully realized in atomassisted optomechanical system,whispering-gallery mode and other optical force system.In recent years,people find that it is an important method to enhance the nonlinear strength of system by enhancing the nonlinear strength of mechanical oscillator.We investigate the optomechanically induced transparency in a two-cavity optomechanical system with a cubic nonlinear mechanical oscillator.The oscillator interacts with two optical cavity modes at a certain coupling strength,while two optical cavity modes couples to each other by linear interaction.We consider the case where a strong coupling field and weak probe field drive the two optical cavity modes at the same time.We find that,with the presence of the nonlinear strength of the mechanical oscillator,the output response spectrum of the probe field presents an asymmetric line,and the increase of the nonlinear strength will aggravate the degree of asymmetry,which provides a method for the cavity optomechanical system to generate strong light force coupling.On the other hand,under the effect of the nonlinear strength,the position of the transparent window will also shift in different directions according to the different system property.So we can realize the control on the transparent window in the system,including the position and width of the window.Also,we can detect the nonlinear effect of the system by the movement of the absorption peak and the transparent window.In addition,the change of corresponding dispersion spectrum also reflects the group delay.We can make the system show slow light effect by adjusting the parameters of the system.And a series of feature of slow light effect can be regulated by the same way.The discussion and research in this paper have certain reference value in the field of nonlinear optics,quantum information processing,optical switches and so on.