Theoretical Studies On Electromagnetically Induced Transparency In Cavity Optomechanical Systems

The interaction between light field and material is an important researchcontent in the field of quantum optics. Electromagnetically induced transparency(EIT) is a nonlinear optical physics phenomenon that arise from atomic quantuminterference. EIT can greatly modify the polarizability of medium, which can beused to realize the control of the optical properties of media. In the past ten years,a lot of research have been done. This thesis has summarised the research statusand development of EIT, and introduced the fundamental theory and process to dealwith the problem about interaction between atoms and optical field. EIT phenomenahave been observed in gas and solid medium. This thesis mainly discusses theEIT phenomenon in cavity optomechanical system. We consider an interactingsystem that consists of an end movable Febry-Perot optical resonator and strongcontrolling light, which is coupled by radiation pressure, then get solutions ofquantum langevin equations of the system. By numerical analysis for the steadystate solution of mechanical displacement of the movable mirror, we have foundthat the bistable behavior of mechanical vibration, in addition, the threshold valueand hysteresis ring range of this bistability are both influenced by the mass ofoscillator and the detuning between controlling light and cavity. For the solution oflangevin equations in the resolved sideband regime, we have compared it with thesolution of atomic density matrix equation in atomic system in the form. For thegeneral solution of langevin equations, we introduced the transmission rate whichdisplay the propagation characteristics of probe light, and do numerical analysisby using appropriate parameter. Then we found that there is a transparent windowof probe light transmission spectrum, when the detuning of probe light equals tomechanical vibration frequency, and the width and depth of this transparent window both increases with the power of control field. It’s optomechanically inducedtransparency that similar to electromagnetically induced transparency realizing incavity optomechanical systems.