【作者】 桂传友；

【导师】 杨名；

【作者基本信息】 安徽大学 ， 材料物理与化学， 2011， 硕士

【摘要】 在量子光学中,运用Jaynes-Cummings模型对光场与原子相互作用系统的非经典特性进行研究一直受到人们的广泛关注。研究光场与原子相互作用的Jaynes-Cummings模型中原子和光场状态的运动规律及其非经典效应是量子光学的重要内容之一。本论文应用全量子理论和数值计算方法来研究频率变化的光场与原子相互作用系统的特性,得出了一系列有意义的结论。第1章简要介绍光场与原子相互作用的基本理论：量子光学的发展历史、辐射场的量子化、量子光学中的几种非经典态、光场与原子作用的理论模型(J-C模型)等；第2章,我们运用全量子理论,在分析了辐射场与二能级原子相互作用过程中系统的哈密顿量的基础上,找出影响辐射场与原子间的耦合系数的因素；再通过光学谐振腔腔镜振动机制研究腔镜振动与辐射场频率之间的关系以及场频变化函数和谐振腔体积变化函数之间的关系；最后总结得出耦合系数与辐射场频率变化函数间的关系；。第3章是在第2章的基础上,在旋波近似下,利用推广的J-C模型,考虑光场的频率随时间按照正弦函数的形式作小量变化,采用数值计算的方法,研究分析二项式光场与二能级原子相互作用体系中光场的振幅平方压缩效应。最终的研究结果表明：场频率的变化对光场的振幅平方压缩的深度和周期性都存在影响；第4章对全文进行了总结并对相关问题进行了展望。更多还原

【Abstract】 In the context of quantum optics, the study of quantum features for the interaction between optical fields and atoms has attracted much attention. It is one of the most important contents of quantum optics to study the dynamics and the non-classical features of optical fields and atoms in the Jaynes-Cummings interaction model. In this thesis, the dynamical features of time-varying-frequency radiation field interacting with a two-level atom have been studied by using the quantum theory and the numerical simulation method. A series of significant results are obtained.In chapter 1, the elementary theories of the interaction between optical fields and atoms were introduced, such as the history of quantum optics, quantization of radiation fields, several kinds of non-classical states and an important interaction model (Janynes-Cummings model).In chapter 2, we studied the interaction Hamiltonian of the two-level atom and a single-mode radiation field, and tried to find the factors that determine the coupling coefficient between cavity modes and atoms. By introducing the vibration mechanism of one cavity mirror, we first got the connection between the frequency of the cavity mode and the vibration of the cavity mirror, and then we found the relationship between the time-varying function of the mode frequency and that of the volume of the cavity. Finally, we got the exact relationship between the time-varying function of the mode frequency and the coupling coefficient between cavity modes field and atoms.In chapter 3, the effect of the amplitude-squared squeezing of the time-varying-frequency field interacting with a two-level atom is studied by using the numerical method. Here, the field is in binomial state, and the interaction can be described by a generalized J-C model under rotating wave approximation. The results showed that the depth and the period of the amplitude-squared squeezing effect of optical field are determined by the time-dependent frequency variance of the optical field. In chapter 4, we summarized the main results and made an outlook for our further investigations in the near future.更多还原