Control Of Correlated Two-photon Transport In A One-dimensional Waveguide Side-coupled A Quadratically Coupled Optomechanical Systems

Since the middle of the20th century development of quantum optics, we have better insight in the nature than former days. After the born of laser in’60s, people enabling to study and understand many new optical effect in the quantum level, form a quantum optics research of different subjects. With the improvement of experimental technology, more and more optical effects were revealed, constantly enrich The content of the expansion of the quantum optics, promote the further deepening and perfection of quantum optics theory. Among these, the mechanical systems that optical cavity and mechanical system coupling in recent years, more and more arouse people’s study interest. Optical coupling effect of mechanical system, electromagnetic induction of transparent, the phenomenon such as refrigeration in the experiment are confirmed, for various applications such as quantum information and quantum optics, the theory of quantum mechanics research pioneered a new road. In this paper, the mechanical system is a kind of light can achieve for two-photon control mechanism.This article is divided into three chapters, the first chapter introduce the development of quantum optics and optomechanical system,the second chapter presents the basic princi-ple of quantum optics, including the properties of light field and the light The force effect. The third chapter introduces two kinds of different coupling mechanism of light mechanical systems, including the one dimensional optical waveguide coupling mechanical transmission of single photon in the system and light scattering of two-photon correlation in mechanical system; The forth chapter is our research work, at first we presenting a theoretical model and the Hamiltonian, Then explored the status of the two-photon square coupling equation of motion and long-term solution, and draw the two-photon joint spectrum and transmis-sion(reflection)spectrum. We found that this system can produce the phenomenon of photon correlation and through this mechanism can control two-photon transport in one-dimensional waveguide.