Local Modulation Of Double Optomechanically Induced Transparency And Amplification

A cavity optomechanical system(OMS)consists of a highly reflective fixed mirror and a movable mirror which is harmonically coupled to the cavity optical field by radiation pressure.The optomechanical system has currently attracted much attention due to its potential applications in different topics of physics,such as the cooling of the nanomechanical oscillators to the quantum ground state,the entanglement between the macroscopic oscillator and the cavity field,the discovery of the optomechanically induced transparency(OMIT)phenomenon,and the demonstration of the quantum nonlinearities.In this thesis,we have investigated the local modulation of double optomechanically induced transparency and amplification in optomechanical system.Meanwhile,we have adopted the right-and left-algebraic dynamical method to obtain the time-dependent analytical solution of the optomechanical system.The main research results are summarized as follows:1.The optomechanically induced transparency in a mechanically coupled optomechanical system is considered.In this system,the two coupled nanomechanical oscillators are driven by the time-dependent forces,respectively.It is found that the optomechanically induced transparency spectrum with a single window in an usual single-mode optomechanical system is split into two parts by the mechanical interaction,which leads to the appearance of the double optomechanically induced transparency.We find that the mechanical interaction amplitude can determine the distance between the two transparency positions(the frequency for the maximal transparency).Following the interacting dark resonances in coherent atoms,the double optomechanically induced transparency induced by the mechanical interaction can be explained by using optomechanical dressed-mode picture.When the mechanical resonator is driven by the external force,the both maximal transparencies in the double-transparency spectrum can be increased into the amplifications.We find that the right maximal transparency in double transparency window isincreased into the amplification by the force driving the mechanically coupled oscillator,while the left transparency is suppressed.Finally,we can see that the maximal transparencies or the amplifications in the double optomechanically induced transparency oscillate with the initial phases of the forces with a period of 2?.These investigations will be useful for more flexible controllability of multi-channel optical communication based on the optomechanical systems.2.We use the right-and left-algebraic dynamical method to obtain the analytical solution to the master equation for the reduced density matrix of optomechanical system,and obtain the analytical express for the cavity photon.This method is used to solve the time-dependent or time-independent dissipative optomechanical system.