Investigations On Optomechanically Induced Transparency And Fast-slow Light Effect Based On The Hybrid Cavity Optomechanical System

With the continuous in-depth study of cavity optomechanics,hybrid cavity optomechanical systems have attracted more and more attention.Compared with typical optomechanical systems,the hybrid cavity optomechanical systems can not only combine the advantages of different physical systems,but also reveal more novel quantum optical phenomena and have extensive applications in many fields.For example,in the study of the regulation of optical signals on mechanical oscillators,by researching the absorption or dispersion characteristics of the systems,the modulation of the phenomena of optomechanically induced transparency,optomechanically induced absorption,optomechanically induced amplification,fast-slow light effect,normal mode splitting and so on can be realized;In the study of the quantum modulation of mechanical oscillators,since the optical cavities have high quality factor,the precise measurement of tiny physical quantities can be realized through optomechanical coupling strength;In the field of studying of the ground state cooling of mechanical oscillators,the coherent states,superposition states and other non-classical states are prepared by cooling mechanical oscillators to ground state.In this thesis,we mainly research the optomechanically induced transparency and fast-slow light effect of the hybrid cavity optomechanical systems,and the specific research contents are as follows:Firstly,we study tunable optomechanically induced transparency and fast-slow light in a loop-coupled cavity optomechanical system.In this three-modes hybrid cavity optomechanical system,it is found that under the combined interactions of optomechanical coupling and strong tunnel coupling,optomechanically induced amplification can occur.The effects of system parameters such as tunneling coupling intensity,driving strengths and decay rates of optical cavities on the absorption spectrum are discussed in turn.The results show that the precision measurement of the tunnel coupling strength can be achieved by the distance and heights between the sideband absorption peaks.The conversion from optomechanically induced absorption to optomechanically induced amplification can be realized by adjusting the intensity of the driving strength.Besides,by selecting the appropriate optomechanical coupling intensity,the switch between fast and slow light can be obtained.Then,we study the optomechanically induced transparency in the nonlinear whispering gallery mode hybrid cavity optomechanical system.The effect of the relative angle of two nanoparticles on the transmission of the detection field is studied.The results show that in the case of red detuning,the transmission of the detection field changes periodically with the relative angle between the nanoparticles.In particular,higher transmissivity can be obtained at exceptional points(EP).By inserting an optical parametric amplifier,the nonlinear effect of the system can be enhanced and wider transparent window can be achieved.Moreover,the phenomenon of optomechanically induced amplification can be observed by adjusting the gain value of the optical parametric amplifier,and the conversion from optomechanically induced transparency to amplification can be achieved.