Properties Of Nonlinear Optics In Three-Mode Optomechanical Systems

A generic cavity optomechanical system is composed of an optical Fabry-Perot cavity,in which one of the mirrors is fixed,but another one is movable(it is treated as a nanomechanical resonator with frequencym?).Great achievements have been achieved in many theoretical and experimental analyses,in which some remarkable and interesting phenomena,such as optical bistability,optomechanically induced transparency,normal mode splitting,slow light,optomechanical dark state,and so on,have successively been discovered in the cavity optomechanical system.These phenomena can be properly explained by the linearization of the optomechanical interaction.However,due to the fact that this linearized cavity optomechanical model does not take the intrinsic nonlinear nature of the optomechanical coupling into consideration,some interesting nonlinear phenomenon the cavity optomechanical system may be neglected as a result.In recent years,more and more attention has been devoted to exploring the nonlinear nature of the cavity optomechanics,which are predicted to exhibit rich and nontrivial effects.Nonlinear optomechanical interaction has emerged as an important new frontier in cavity optomechanics and has enabled interesting topics in both classical and quantum mechanisms.In this Paper,we have discussed the properties of nonlinear optics in optomechanical systems with a single quantum well.By solving Heisenberg-Langevin equations and using an input-output relations for the cavity,the second-order sideband effects and slow light effects in a three-mode optomechanical system containing a single quantum well can be obtained.The whole Paper includes five Chapters.In Chapter One,the research background of the optomechanical systems and the research status of nonlinear optical field are reviewed in detail,and finally,the contents as well as the outline of this Paper are given.In Chapter Two,some typical optomechanical systems and some theoretical knowledge are introduced in the Paper.In Chapter Three,We theoretically study the second-order sideband effects in a three-mode optomechanical system containing a single quantum well.In such a three-mode hybrid system,the pump laser-exciton detuning,the photon-exciton coupling strength,and the pump power have significant effects on the efficiency of the second-ordersideband generation.The numerical results demonstrate that the second-order sideband effects get greatly modified in this three-mode optomechanical system due to the presence of the quantum well.The more stronger the coupling between the cavity and the quantum well,the more larger the efficiency of the second-order sideband generation.it is found that by tuning the pump laser-exciton detuning,the second-order sideband can be obviously modulated.When the tuning parameter is the same,the phenomenon of the second-order lower sideband is similar to the second-order upper sideband,but the difference is that the second-order upper sideband generation efficiency is greater than the second-order lower sideband effects.In Chapter Four,we discuss slow light effects in the three-mode optomechanical system.The phase of the transmitted probe beam correspondingly experiences a sharp enhancement with the increase of the probe-pump detuning?.The transmitted probe beam can be obviously delayed by the three-mode optomechanical system containing a single quantum well.By detailed numerical caculations,it can be got that the transmitted probe beam on resonance can be delayed as much as 0.8ms.Our theoretical results show that In such a three-mode hybrid system,the damping rate of the collective oscillation,the damping rate of the quantum well,photon-exciton coupling strength and pump power have a significant impact on the propagation velocity of the probe pulse.The fifth Chapter makes a summary of this Paper,and makes some prospects for future work.