Theoretical Research On Some Quantum Optical Phenomena In An Optomechanical System Assisted By Microwave

Recent years,cavity optomechanics has seen huge progress in both optomechanical system researches.A generic cavity optomechanical system is composed of two mirrors,in which one of the mirrors is fixed,and another one is treated as an optomechanical resonator with frequency is movable.Some remarkable and interesting phenomena,such as four wave mixing,ground state cooling,optomechanically induced transparency,quantum entanglement and so on,have been discovered in the cavity optomechanical system.During the past few years,the study of quantum optics has developed to all aspects.For example,the optical cavity coupling with atoms in hybrid optomechanical system,the optical cavity coupling with microwave in an optomechanical system.Researchers have studied some of the interesting phenomena in the quantum optics effect based on these hybrid systems.In recent years,more and more attention has been devoted to exploring the nonlinear properties of the cavity optomechanics.Nonlinear optomechanical interaction has emerged as an important new frontier in cavity optomechanics.This paper,We have discussed the properties of nonlinear optics in optomechanical systems assisted by microwave.By solving Heisenberg-Langevin equation and using relation for the cavity,the optical bistability and the four wave mixing can be regulated,and slow light can be discovered.Firstly,we study the optical bistability in an optomechanical system assisted by microwave.In the system,the coupling strength,decay rate and the input power have significant effect on the efficiency of the optical bistable threshold and the bistable region.Numerical simulation show that the bistable range increased when the microwave coupling strength of optical cavity is regulated and gradually increased.And the range of bistability or bistable threshold become larger when the microwave decay rate and the optical cavity decay rate decrease.But,regulation of microwave input power and optical cavity pump power is different.As we can see,the bistable range becomes larger when the regulation of microwave power increases,and when the power of the optical cavity is larger,the result is opposite.Therefore,by using the interaction between the microwave and the optical cavity,the bistable switches can be realized through the adjustment of the system.Then,we study the four wave mixing in an optomechanical system assisted by microwave.The cavity pump detuning,the coupling strength,and the pump input power have significant effects on the efficiency of four wave mixing intensity.The numerical results demonstrate that the intensity of four wave mixing becomes larger when regulation of microwave coupling strength is smaller and the optical decay rate becomes larger.But the intensity of four wave mixing becomes smaller when the microwave input power becomes larger.Finally,it gradually becomes gentle and saturated.Through regulation the parameters of microwave and optical cavity system,the four wave mixing effect can be applied to various new optics,such as optical fiber amplifiers,holographic imaging and optical image processing.Lastly,we discuss slow light in optomechanical system assisted by microwave.The phase of transmitted probe beam correspondingly experiences a sharp enhancement with the increase of probe-pump detuning ?.The transmitted probe beam can be delayed by the optomechanical system.The transmitted probe beam can be obviously delayed by the hybrid optomechanical system.By detailed numerical calculations,transmitted probe beam on resonance can be delayed as much as 0.8ms.Our theoretical results show that in such a system,coupling strength has a significant impact on the propagation velocity of the probe pulse.Through the coupling of the microwave and the optical cavity,the light can be effectively slowed down.