The Quantum Properties Of The Bose-Einstein Condencate Interacting With The Binomial State Field

For better disclosing the quantum properties in the system of Bose-Einstein Condensation atom and the moving atom interacting with the binomial states field respectively, and better understanding and applying the quantum information theory, the squeezing theory that contains the light field squeezed and the atomic laser squeezed, the fidelity theory of the quantum information theory, and the entropy theory to the system of atom interacting with field are discussed in this paper. The squeezing properties of the binomial states field interacting with atomic Bose-Einstein Condensate, fidelity of quantum state in a system interacting the binomial photon field with atomic Bose-Einstein Condensate and entropy squeezing in a system interacting the moving atom with the binomial light field are studied by means of the quantum squeezing theory, quantum fidelity and quantum information entropy etc.Fist, the squeezing properties of the binomial states field interacting with Bose-Einstein condensate (BEC) of two-level atoms are studied. The results indicate that one of the two qu阿drature components of light field evolve periodically with time and can be squeezed, and the system parameters influence the squeezing depth, the fluctuations of two quadrature components of the atomic laser can be squeezed alternatively as the variety of the parameter of light field interacting with atoms and the interaction among the atoms in BEC is disadvantageous to the squeezing of atomic lasers, but the atomic laser can show complete squeezing effects as the influence of light field is considered.Second, the properties of the evolution of fidelities of quantum state under the interaction of the binomial photon field and atomic Bose-Einstein condensate are studied by means of quantum fidelity. The influences of the interaction among atoms of Bose-Einstein condensate,the average atomic number of atomic BEC and the parameter of light field on the fidelity are investigated. The results indicate that the amplitude and oscillated period of fidelity of quantum information for interaction system can be controlled by choosing the intensity of the interaction among atoms the light parameter and the average atomic number on the ground state. The higher fidelity can be obtained by choosing suitable parameters.At last, the information entropy squeezing properties of the atom in motion interacting with the binomial states field via single photon transition are studied by means of quantum theory. The influences of the parameter of light 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, amplitude, squeezed time and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state, the field structure parameter, the velocity of atomic motion. It is shown that the moving atom may exhibit the long time squeezing effect for some parameters.