运动光格中玻色-爱因斯坦凝聚系统的混沌时空动力学

摘要

This paper studies the chaotic spatiotemporal dynamics of Bose-Einstein condensates with repulsive interatomic interactions in traveling optical lattices. Through theoretical analyses, we reach the simple-zero Melnikov function, which indicates that there is Smale horse-shoe chaos in the system. Under some specific parameter conditions, either increasing of the intensity of the optical lattice or decreasing of the s-wave scattering length will force the system to go from a periodic state into a chaotic one.%本文研究了运动光格中原子间呈排斥作用的玻色-爱因斯坦凝聚系统的混沌时空动力学.通过理论分析,我们得到了具有简单零点的Melnikov函数,这表明系统存在Smale马蹄混沌.数值模拟显示,在一定的参数条件下,光格势强度的增大或s波散射长度的减小,都将迫使系统由规则状态进入混沌状态.