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.
Received: 29 March 2009
Revised: 05 April 2009
Accepted manuscript online:
(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
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
