Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential

doi:10.1088/1674-1056/20/10/100501

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100501-100501.doi: 10.1088/1674-1056/20/10/100501

Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential

李志坚¹, 李锦茴²

(1)Information Science and Engineering Department, Hunan First Normal University, Changsha 410205, China; (2)Mathematics and Science Department, Hunan First Normal University, Changsha 410205, China

收稿日期:2010-12-28 修回日期:2011-04-21 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the Science Research Foundation of the Education Bureau of Hunan Province of China (Grant No. 09C227).

Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential

Li Jin-Hui(李锦茴)^a)† and Li Zhi-Jian(李志坚)^b)

^a Mathematics and Science Department, Hunan First Normal University, Changsha 410205, China; ^b Information Science and Engineering Department, Hunan First Normal University, Changsha 410205, China

Received:2010-12-28 Revised:2011-04-21 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the Science Research Foundation of the Education Bureau of Hunan Province of China (Grant No. 09C227).

摘要/Abstract

摘要： We first present an analytical solution of the single and double solitions of Bose-Einstein condensates trapped in a double square well potential using the multiple-scale method. Then, we show by numerical calculation that a dark soliton can be transmitted through the square well potential. With increasing depth of the square well potential, the amplitude of the dark soliton becomes larger, and the soliton propagates faster. In particular, we treat the collision behaviour of the condensates trapped in either equal or different depths of the double square well potential. If we regard the double square well potential as the output source of the solitons, the collision locations (position and time) between two dark solitons can be controlled by its depth.

关键词: Bose-Einstein condensates, solitons, double square well potential

Abstract: We first present an analytical solution of the single and double solitions of Bose-Einstein condensates trapped in a double square well potential using the multiple-scale method. Then, we show by numerical calculation that a dark soliton can be transmitted through the square well potential. With increasing depth of the square well potential, the amplitude of the dark soliton becomes larger, and the soliton propagates faster. In particular, we treat the collision behaviour of the condensates trapped in either equal or different depths of the double square well potential. If we regard the double square well potential as the output source of the solitons, the collision locations (position and time) between two dark solitons can be controlled by its depth.

Key words: Bose-Einstein condensates, solitons, double square well potential

中图分类号: (Boson systems)

05.30.Jp

02.90.+p (Other topics in mathematical methods in physics) 11.10.Lm (Nonlinear or nonlocal theories and models)

李锦茴, 李志坚. Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential[J]. 中国物理B, 2011, 20(10): 100501-100501.

Li Jin-Hui(李锦茴) and Li Zhi-Jian(李志坚) . Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential[J]. Chin. Phys. B, 2011, 20(10): 100501-100501.

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Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential

Soliton dynamical properties of Bose–Einstein condensates trapped in a double square well potential

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