Quantum Entanglement Of The Binomial Field Interacting With Two Entangled Atoms In Tavis-cummings Model

Quantum mechanics is base and core of modern times. There is an abroad and deep fireworks around the basic concept and interpret of physical picture of quantum mechanics from its birth. The fireworks are not clam down to this day. This headway makes study about the base of quantum mechanics. It becomes a very activity hot problem in today's physics. The important meaning of the headway is not only making people more deep understand itself of quantum mechanics, but also bring far-reaching influence about one's mentality of concept and the way of the thinking.Quantum mechanics are explored a new field in 20century last stage, the key is quantum entanglement. The new development of quantum mechanics is carrying through surround quantum entangled states. The entangled states are important contributing for people to known the basic concept of quantum mechanics. It gradually goes upon quantum information stage and establishes its predominant status follow the vigorous development of quantum info science. quantum entangled states are an carrier for quantum communication and quantum computation, it widely use for quantum teleportation,quantum key distribution,quantum dense coding,quantum computation and so on. It is not only having very important role to understand the basic concept of quantum mechanics to study quantum entanglement, but also being high applied value in quantum information about some foreland field. it become that one of hot problems was studied by people.The being of quantum entanglement has predicate new interact ionic form. The problem concerned about the interaction between optical field and atoms in a system has been a very active subject in the field of quantum optics. The field entropy evolution of two entangled atoms interacting with the binomial field in tavis-cumming model is studied by means of the full quantum theory in this paper. The major content of this thesis is displayed as follows:(1)The theories on quantum entanglement and the method in quantum entanglement measurement are briefly introduced,the concepts of the binomial state light-field are explained..(2) The entanglement character of two entangled atoms interacting with the binomial light-field in a multiphoton Tavis-Cumming model (T-C model) is studied. The influences of the optical field parameters and the atomic dipole-dipole coupling intensity of the atoms on the properties of the entanglement between two atoms under different initial states are discussed. The results indicate that the periodicity of the entanglement between two atoms is influenced by the parameters of the binomial optical field. There are the entanglement phenomena at some values of nπexcept the value of 5nπ(n=0, 1, 2…). With the increase of the parameters of the binomial optical field, the range appearing entanglement phenomenon will increase gradually. Thereby the time in that the entanglement between the two atoms occurs will diminish. The atomic dipole-dipole coupling intensity has an effect on oscillating of entanglement and the entanglement degree between the two atoms.(3) The field entropy evolution of two moving atoms interacting with the binomial field in the multiphoton tavis-cumming model is studied. The influences of the atomic motion and the parameters of the binomial light field on the field entropy are discussed by means of the full quantum theory. The results indicate that the parameters of the binomial optical field are not influence the periodicity of the evolution of the field entropy, but it has effect on the value of the filed entropy. With the increase of the photon number of atomic transition, the periodicity of the evolution of the field entropy and the disentanglement were disappearing gradually.(4) The atoms'entanglement character of the moving atoms in tavis-cummings model with the binomial field interacting is studied. The results indicate that the moving two-atom entanglement state appears with periodicity. The influences of the atomic motion and the parameters of the binomial light field on the atoms'entanglement character are discussed by means of the full quantum theory. The parameters of the binomial optical field has an effect on the entanglement,the frequency of oscillating and the range appearing entanglement phenomenon, but it is not influence periodicity of the entanglement of the evolution. Optical field in the middle state, the two atom's speed influence the frequency of oscillating of the atoms and periodicity of the entanglement of the evolution. When the atom's speed is one, periodicity of the entanglement of the evolution will decrease two. The atom's speed is not influence the value of the entanglement.