Abstract:

 Based on the nonlinear characteristics of BoseEinstein condensed body in moving optical lattices and Lyapunov stability theory, and the combination with the sine coupling chaotic synchronization method, chaotic synchronization of Einstein condensed body in moving optical lattices was realized. With the help of  theoretical analysis and numerical calculation, the authors proved the effectiveness of the method on  the sine coupling chaotic synchronization and respectively realized the chaotic synchronization of the single variable coupling and double variable coupling. On the basis of the numerical calculation to determine the parameters range in which the chaotic synchronization can be realized, we proved that  chaotic synchronization double variable coupling is faster than single variable coupling and small coupling coefficient can achieve chaotic synchronization. We also analysed the relationship between the synchronization time and the coupling coefficient.

Key words: BoseEinstein condensate, sine coupling, chaos synchronization, Lyapunov stability theory