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Chin. Phys. B, 2009, Vol. 18(9): 3736-3741    DOI: 10.1088/1674-1056/18/9/021
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Control of soliton characteristics of the condensate by an arbitrary x-dependent external potential

Yang Ru-Shu(杨如曙), Yao Chun-Mei(姚春梅), and Chen Ri-Xin(陈日新)
Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China
Abstract  This paper presents a family of soliton solutions of the one-dimensional nonlinear Schr?dinger equation which describes the dynamics of the dark solitons in Bose--Einstein condensates with an arbitrary x-dependent external potential. The obtained results show that the external potential has an important effect on the dark soliton dynamical characteristics of the condensates. The amplitude, width, and velocity of the output soliton are relative to the source position of the external potential. The smaller the amplitude of the soliton is, the narrower its width is, and the slower the soliton propagates. The collision of two dark solitons is nearly elastic.
Keywords:  Bose--Einstein condensates      dark solitons      x-dependent external potential  
Received:  29 March 2009      Revised:  05 April 2009      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.Jr (Partial differential equations)  
  03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)  
Fund: Project supported by the Natural Science Foundation of Hunan Province of China (Grant No 07JJ3002), and the Fund of the 11th Five-year Plan for Key Construction Academic Subject (Optics) of Hunan Province of China.

Cite this article: 

Yang Ru-Shu(杨如曙), Yao Chun-Mei(姚春梅), and Chen Ri-Xin(陈日新) Control of soliton characteristics of the condensate by an arbitrary x-dependent external potential 2009 Chin. Phys. B 18 3736

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