Slowly moving matter-wave gap soliton propagation in weak random nonlinear potential

被引：0

作者：

张铭锐 ^{[1
,2
]}

张永亮 ^{[2
]}

蒋寻涯 ^{[2
]}

资剑 ^{[1
]}

机构：

[1] Surface Physics Laboratory (National Key Lab), Fudan University

[2] Institute of Microsystem and Information Technology, Chinese Academy of Sciences

来源：

Chinese Physics B | 2008年 / 06期

关键词：

gap soliton; weak random nonlinear potentials; effective particle picture;

D O I：

暂无

中图分类号：

O415 [非线性物理学]; O562 [原子物理学];

学科分类号：

070201 ; 070203 ; 1406 ;

摘要：

We systematically investigate the motion of slowly moving matter-wave gap solitons in a nonlinear potential, produced by the weak random spatial variation of the atomic scattering length. With the weak randomness, we construct an effective-particle theory to study the motion of gap solitons. Based on the effective-particle theory, the effect of the randomness on gap solitons is obtained, and the motion of gap solitons is finally solved. Moreover, the analytic results for the general behaviours of gap soliton motion, such as the ensemble-average speed and the reflection probability depending on the weak randomness are obtained. We find that with the increase of the random strength the ensemble-average speed of gap solitons decreases slowly where the reduction is proportional to the variance of the weak randomness, and the reflection probability becomes larger. The theoretical results are in good agreement with the numerical simulations based on the Gross-Pitaevskii equation.

引用

页码：2160 / 2169

页数：10