Bright and dark soliton solutions in growing Bose—Einstein condensates

doi:10.1088/1674-1056/19/7/070503

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70503-070503.doi: 10.1088/1674-1056/19/7/070503

Bright and dark soliton solutions in growing Bose—Einstein condensates

宋伟为¹, 李秋艳², 李再东², 傅广生³

(1)Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China; (2)Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China;School of Information Engineering, Hebei University of Technology, Tianjin 300401, China; (3)School of Information Engineering, Hebei University of Technology, Tianjin 300401, China

出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10874038) and the Natural Science Foundation of Hebei Province of China (Grant No. A2008000006).

Bright and dark soliton solutions in growing Bose—Einstein condensates

Song Wei-Wei(宋伟为)^a), Li Qiu-Yan(李秋艳)^a)b), Li Zai-Dong(李再东)^a)b)†ger, and Fu Guang-Sheng(傅广生)^b)‡

^a Department of Applied Physics, Hebei University of Technology, Tianjin 300401, China; ^b School of Information Engineering, Hebei University of Technology, Tianjin 300401, China

Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10874038) and the Natural Science Foundation of Hebei Province of China (Grant No. A2008000006).

摘要/Abstract

摘要： This paper develops the Hirota method carefully for applying into the growing model of quasi-one-dimensional Bose—Einstein condensations with attractive and repulsive interaction, respectively. After a tedious calculation it obtains the exact bright and dark soliton solutions analytically. It shows that the growing model has the important effect on the soliton amplitude and the time-dependent potential only contributes to the phase and phase velocity. A detailed analysis for the asymptotic behaviour of two-soliton solutions shows that the collision of two soliton is elastic.

Abstract: This paper develops the Hirota method carefully for applying into the growing model of quasi-one-dimensional Bose—Einstein condensations with attractive and repulsive interaction, respectively. After a tedious calculation it obtains the exact bright and dark soliton solutions analytically. It shows that the growing model has the important effect on the soliton amplitude and the time-dependent potential only contributes to the phase and phase velocity. A detailed analysis for the asymptotic behaviour of two-soliton solutions shows that the collision of two soliton is elastic.

Key words: bright soliton, dark soliton, growing Bose--Einstein condensates

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

05.45.Yv (Solitons) 02.30.Jr (Partial differential equations)

宋伟为, 李秋艳, 李再东, 傅广生. Bright and dark soliton solutions in growing Bose—Einstein condensates[J]. 中国物理B, 2010, 19(7): 70503-070503.

Song Wei-Wei(宋伟为), Li Qiu-Yan(李秋艳), Li Zai-Dong(李再东), and Fu Guang-Sheng(傅广生). Bright and dark soliton solutions in growing Bose—Einstein condensates[J]. Chin. Phys. B, 2010, 19(7): 70503-070503.

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Bright and dark soliton solutions in growing Bose—Einstein condensates

Bright and dark soliton solutions in growing Bose—Einstein condensates

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