| In the quantum optics field, the study of the quantum properties of the field interacting with the atom has been always devoted to considerable attention. It is one of the most important contents for the quantum optics to study on the dynamics and non-classical properties of the interaction between the field and the atomic system in the Jaynes-Cummings model. In this dissertation, the squeezing properties in the system of the coherent optical field and Schrodinger cat (S-cat) states interacting with two identical two-level atoms are studied respectively via time evolution operator and numerical methods. The results indicate that the squeezing properties of the optical field in the coherent state and S-cat states depend on the degree of entanglement of two identical atoms. At certain particular time, for some special numbers of photons, optical field can be squeezed entirely in any entangled state of the two atoms. In some cases, the optical fields can not be squeezed.This dissertation is organized as follows. In chapter one, firstly we review the development of quantum optics, pointing out three features of quantum optics: coherence, nonlinearity, and quantity, next something of quantum entanglement is discussed, including the conception of entangled state and definition of the degree of the entanglement, at last, the J-C model of the interaction between the atoms and the optical fields. In chapter two, we introduce the concepts and properties of coherent state and Shrodinger-cat state. In chapter three, we study the relation between the degree of entanglement of two entangled atoms and the squeezing produced by coherent state and Shrodinger-cat state interacting with two entangled atoms, in addition, the time evolution of the squeezing of coherent field interacting with two two-level entangled atoms, is discussed. And we draw a conclusion that the squeezing of two optical fields is very dependent on the degree of entanglement. Finally, we provide this paper with a simple summary. |
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