Non-classical Properties In The Interaction Between The Two-mode Squeezing Vacuum Field And An Atom In Motion

The theories on quantum entropy entanglement, information entropy squeezing and the non-classical properties of the field are introduced briefly in the chapter one.The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition are studied by means of quantum theory in the chapter one. The influences of atomic motion and the field structure on the quantum entanglement are investigated as the initial state of atom is in the excited state. The results show that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode. The periodic evolution of the entanglement properties cannot be destroyed. The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory in the chapter three. The influences of the velocity of atomic motion, the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state. The results indicate that the value of squeezed component of the atomic dipole, squeezed frequency, amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state, the velocity of atomic motion, the field structure and the squeezing factor of field and the squeezing phase angle of the field respectively. In the longer time, squeezing effects of the atom in motion can be obtained by choosing the system parameters. The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion. The quantum properties of the two-mode squeezing vacuum field in the Tavis-Cummings model with atomic motion are studied by means of quantum theory in the chapter four. The influences of the velocity of atomic motion, the field structure and the initial state on the quantum properties of the field are studied. The results indicate that the velocity of atomic motion, the field structure and the initial state have obvious influences on the quantum properties of the field. The velocity of atomic motion and the field structure control the periodic evolution of the quantum properties of the field. The velocity of atomic motion and the field structure have no influence on the maximum of the field squeezing. The initial state has influences on the maximum and time of the field squeezing. The changes of the velocity of atomic motion, the field structure and the initial state cannot bring changes of the positive pertinence and non-classical properties of pertinence between field modes.