Generalized two-state theory for an atom laser and its interference

We present a generalized two-state theory to study the output coupler for B ose-Einstein condensate atoms and its interference. The results show that t he fraction of out-coupled atoms can be adjusted between 0% and 100% by var ying the amplitude of the rf. radiation, and the interference patterns of t he two coherent outputs that are coupled out of a double-well trapped poten tial vary with time. Moreover, we study the influence of atom-atom interact ions on the output Tn contrast with the case without atom-atom interactions , collapses and revivals appear in the number of the output atoms.