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Chin. Phys. B, 2011, Vol. 20(2): 020502    DOI: 10.1088/1674-1056/20/2/020502
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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
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.
Keywords:  Bose–Einstein condensates      solitons      localized impurity  
Received:  12 June 2010      Revised:  26 September 2010      Accepted manuscript online: 
PACS:  05.30.Jp (Boson systems)  
  02.90.+p (Other topics in mathematical methods in physics)  
  11.10.Lm (Nonlinear or nonlocal theories and models)  
Fund: 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).

Cite this article: 

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 2011 Chin. Phys. B 20 020502

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