Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates

doi:10.1088/1674-1056/20/2/020502

中国物理B ›› 2011, Vol. 20 ›› Issue (2): 20502-020502.doi: 10.1088/1674-1056/20/2/020502

Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates

杨如曙, 姚春梅, 伍宗富

Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China

收稿日期:2010-06-12 修回日期:2010-09-26 出版日期:2011-02-15 发布日期:2011-02-15
基金资助:
Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 07JJ3002), the Fund of the 11th Five-year Plan for Key Construction Academic Subject (Optics) of Hunan Province of China, and the Scientific Research Foundation of the Science and Technology Bureau of Hunan Province of China (Grant No. GK3059).

Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates

Yang Ru-Shu(杨如曙)^†,Yao Chun-Mei(姚春梅),and Wu Zong-Fu(伍宗富)

Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China

Received:2010-06-12 Revised:2010-09-26 Online:2011-02-15 Published:2011-02-15
Supported by:
Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 07JJ3002), the Fund of the 11th Five-year Plan for Key Construction Academic Subject (Optics) of Hunan Province of China, and the Scientific Research Foundation of the Science and Technology Bureau of Hunan Province of China (Grant No. GK3059).

摘要/Abstract

摘要： By using a multiple-scale method, we analytically study the effect of a localized impurity on the soliton dynamics in the Bose--Einstein condensates. It is shown that a dark soliton can be transmitted through a repulsive (or attractive) impurity, while at the position of the localized impurity the soliton can be quasitrapped by the impurity. Additionally, we find that the strength of the localized impurity has an important effect on the dark soliton dynamics. With increasing strength of the localized impurity, the amplitude of the dark soliton becomes bigger, while its width is narrower, and the soliton propagates slower.

Abstract: By using a multiple-scale method, we analytically study the effect of a localized impurity on the soliton dynamics in the Bose–Einstein condensates. It is shown that a dark soliton can be transmitted through a repulsive (or attractive) impurity, while at the position of the localized impurity the soliton can be quasitrapped by the impurity. Additionally, we find that the strength of the localized impurity has an important effect on the dark soliton dynamics. With increasing strength of the localized impurity, the amplitude of the dark soliton becomes bigger, while its width is narrower, and the soliton propagates slower.

Key words: Bose–Einstein condensates, solitons, localized impurity

中图分类号: (Boson systems)

05.30.Jp

02.90.+p (Other topics in mathematical methods in physics) 11.10.Lm (Nonlinear or nonlocal theories and models)

杨如曙, 姚春梅, 伍宗富. Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates[J]. 中国物理B, 2011, 20(2): 20502-020502.

Yang Ru-Shu(杨如曙),Yao Chun-Mei(姚春梅),and Wu Zong-Fu(伍宗富) . Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates[J]. Chin. Phys. B, 2011, 20(2): 20502-020502.

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Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates

Effect of a localized impurity on soliton dynamics in the Bose–Einstein condensates

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