中国物理B ›› 2009, Vol. 18 ›› Issue (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

杨如曙, 姚春梅, 陈日新   

  1. Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China
  • 收稿日期:2009-03-29 修回日期:2009-04-05 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    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.

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)   

  1. Department of Electric Engineering, Hunan University of Arts and Science, Changde 415000, China
  • Received:2009-03-29 Revised:2009-04-05 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    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.

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摘要： 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.

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.

Key words: Bose--Einstein condensates, dark solitons, x-dependent external potential

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations) 03.75.Lm (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)