斜光格子中玻色-爱因斯坦凝聚的Melnikov混沌控制(英文)

Control the Melnikov Chaos of a Bose-Einstein Condensate in the Tilted Optical Lattices

研究了斜光格子中玻色-爱因斯坦凝聚的混沌特征,利用直接微扰法获得了Gross-Pitaevskii方程的微扰解。理论解析表明:这个微扰解是混沌解,因为它满足Melnikov混沌判据,此结果意味该系统存在混沌行为,而相应的数值模拟结果印证了其理论结果。然而,系统的混沌可以通过调节系统参数或改变初始条件加以控制,由此表明,系统参数或初始条件在控制混沌中扮演了非常重要的角色。

The chaotic character of a Bose-Einstein condensate in titled optical lattices is investigated. A perturbation solution of the Gross-Pitaevskii equation is obtained by using the direct perturbation method. Theoretical analysis reveals that the perturbation solution is chaotic one because it satisfies the Melnikov chaos criterion, which indicates the system existing chaotic behavior. The corresponding numerical simulation results confirm the theoretical results. However, the chaos of the system can be controlled by adjusting the system parameters or changing the initial conditions, which shows the system parameters or the initial cond.itions play a very important role in control chaos.