Rosen--Zener Transition in a Nonlinear System for Two-Component Bose--Einstein Condensates in Optical Lattices

We study the Rosen-Zener transition (RZT) in a nonlinear system for two-component Bose--Einstein condensates in optical lattices. It is found that the percentage of the components could affect the quantum transition dramatically. For the component with large percentage it is equivalent that the effect of the nonlinearity is stronger, whereas for the component with small percentage the effect is weaker. We also find that the nonlinearity c₁₁ can affect the quantum transition dramatically. This is similar to that reported from Ref.14. Compared with one-component systems, however, the effect of the nonlinearity is decreased due to the two components of the BECs in optical lattices. Furthermore, the effect of the coupling nonlinearity between two components c₁₂ is studied. The component with large percentage is more affected by the nonlinearity than that with small-percentage component