The Study Of The Atom Interacting With The Optical Field

In the quantum optics, the study of quantum properties of the system of the atom interacting with the field has always attracted considerable attention. In this thesis, the entropy squeezing and the quantum entanglement in the system of atoms interacting with a single mode optical field are explored, and a series of academical results are obtained.The thesis consists of five chapters . In the first chapter, at first, a simple history overview is presented for the system of the atom interacting with the field .In the second chapter, some basic theories of quantum entanglement and entropy squeezing are introduced, including the presentation and definition of entangled states, several mainly measurements of entanglement degree, manipulation of entanglement and several kind of entangled states. In the third chapter, we derive the Hamilton nonlinear equations, describing interaction between a two-level atom with the classical translational degree of freedom and a single-mode quantized field in a ideal cavity, we express linear entropies measure the atom-field entanglement. In the forth chapter, based on the Hamiltonian of the interaction system, which includes the interaction between two two-level atoms and a single mode vacuum field, the state vector and the density matrix of the system, and the reduced-density matrices of the subsystems are obtained by solving its Schrodinger equation, The field entropy and field entropy squeezing of the single mode vacuum field is calculated by using the quantum reduced entropy theories. In the fifth chapter, w give a summary and an prospects of quantum entropy and quantum entropy squeezing on the atom interacting with the field.