Dynamic Analysis For Bose-Einstein Condensation In Quantum Cavity

Recently, with the development of experiment technique in atomic optics, thebehaviour of atom can been controlled by the electromagnetic field in a quantummicrowave cavity which is considerable small. The experimental and theoretical researchof laser cooling and trapping of atoms has become a vigorous branch of physics from 1985when laser cooling and trap atoms become realized by S.chu's science team. Therealization of Bose-Einstein condensation (BEC) in 1995 is one of the most importantachievement of laser cooling. From then many scientist started the study of BEC and itsusage.The stability of the cooling-atom is basic problem in experiments, and in microwavecavity use laser to cool atoms is the ways in common use. Analyze the time variety ofatoms in quantum microwave cavity by theoretic ways will offer theoretic accordings tocontrol atom actions by manpower.We study Dynamics of BEC atoms in a quantum cavity based on quantum descriptionof interactions between atoms and photon in this paper. Models have been established forthe interaction between quantized laser field and cold atom.A model has been established for the interaction between a single-mode optical fieldand an energy-level 2 cold atom with exact analytic solutions given, the processes ofmomentum and energy exchanges between the optical field and the cold atom due to theinteraction between them are discussed in detail, and a formula has been given for thevariation of momentum and energy exchange volumes with time t in dress state whileboth the effects of photon recoil and Doppler effect are taken into consideration .The dynamics in the Bose-Einstein Condensation (BEC) process with interactionbetween two energy-level Bose atoms and single-mode active cavity field and between twoenergy-level Bose atoms and many-mode active cavity field in the quantum cavity isanalyzed using the ordinary method for solving the wave function in the Schr?dinger ideafrom the Heisenberg idea. A wave function has been established for the atoms under theBEC conditions in the quantum cavity, and the factors having effect on the BEC stability inthe quantum cavity and the rules for selecting quantum leaps are analyzed.