Intensity-engineered Optomechanically Induced Transparency In A Quadratically Coupled Double-cavity Optomechanical System Using Driving Fields

We consider the optomechanically induced transparency in the quadratically coupled optomechanical cavities, which are driven by the coupling field, respectively. It is found that the transparency window becomes deeper and is shifted to the high-frequency of the probe field with increase of the coupling field, however the other coupling field driving the qudratically coupled cavity will lead to the opposite behaviors. In fact, the position of the transparency window is exactly determined by the difference between the powers of the two coupling fields. This can be used to realize to make the probe field transparent at a certain frequency only by adjusing the intensities of the coupling fields. Additionally, we find that the temperature of the environment and the reflectivity of the movable mirror can improve the transparency.The paper is organized as follows:In Chapter 1, we have reviewed the development of the EIT and the OMIT phenomena.In Chapter 2, optomechanically induced transparency in a linear coupled onecavity optomechanical systemIn Chapter 3, the model of the quadratically coupled optomechanical cavities is introduced, and its Hamiltonian is introduced.The OMIT as well as its variations with the strengths of the two coupling fields in the quadratically coupled double-cavity optomechanical system are displayed. At the same time, the effects of the thermal temperature and the membrane reflectivity on the transparency spectra are also investigated.In Chapter 4, we summarize our main results of the thesis.