中文摘要：

引入多模态的方法描述多组分形式的相干物质波（玻色-爱因斯坦凝聚体,BEC）,导出了非线性周期晶格势场中一维多组分玻色-爱因斯坦凝聚体的孤子解.分析了多模凝聚体的密度分布特性.

英文摘要：

As a coherent matter wave, the Bose-Einstein condensate （BEC） provides a playground for the investigation of the macroscopic quantum phenomenon. The nonlinear optical lattice, which is consisted of two counter-propagating laser beams, is a powerful and widely used tool for the controlling of the dynamics of the coherent matter wave. In view of the potential applications of BEC, two or more independently grown condensates provide extra controllable degrees of freedom and can be used in many areas, such as quantum metrology and quantum com- putation. In this paper, a multi-mode description is introduced to characterize the multi-component coherent matter wave. To determine the evolution property of the multi-mode matter wave in a nonlinear optical lattice, we solve the multi-mode coupled nonlinear equations. A set of analytical bright soliton solutions are constructed with a similarity transformation.