Controlled Manipulation with a Bose-Einstein Condensates N-Soliton Train under the Influence of Harmonic and Tilted Periodic Potentials

作     者：宗丰德 张解放 

作者机构：Institute of Nonlinear Physics Zhejiang Normal University Jinhua 321004 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2008年第25卷第7期

页      面：2370-2373页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant No 10672147  and the Natural Science Foundation of Zhejiang Province under Grant No Y605312 

主　　题：OPTICAL LATTICES TUNNEL ARRAYS WAVE SYSTEMS PROPAGATION STABILITY DYNAMICS VORTEX GASES CHAOS 

摘      要：A model of the perturbed complex Toda chain （PCTC） to describe the dynamics of a Bose-Einstein condensate （BEC） N-soliton train trapped in an applied combined external potential consisting of both a weak harmonic and tilted periodic component is first developed. Using the developed theory, the BEC N-soliton train dynamics is shown to be well approximated by 4N coupled nonlinear differential equations, which describe the fundamental interactions in the system arising from the interplay of amplitude, velocity, centre-of-mass position, and phase. The simplified analytic theory allows for an efficient and convenient method for characterizing the BEC N-soliton train behaviour. It further gives the critical values of the strength of the potential for which one or more localized states can be extracted from a soliton train and demonstrates that the BEC N-soliton train can move selectively from one lattice site to another by simply manipulating the strength of the potential.