Korteweg-de Vries Description of Dark Solitons in Bose-Einstein Condensates
HUANG Guo-Xiang
Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062
Korteweg-de Vries Description of Dark Solitons in Bose-Einstein Condensates
HUANG Guo-Xiang
Key Laboratory for Optical and Magnetic Resonance Spectroscopy and Department of Physics, East China Normal University, Shanghai 200062
关键词 ：
03.75.Fi ,
03.65.Ge ,
42.65.Tg
Abstract ： We investigate the dynamics of pulses in a cigar-shaped Bose-Einstein condensate with repulsive atom-atom interactions without using Thomas-Fermi approximation. In the linear level our results give the Bogoliubov excitation spectrum for sound propagation with speed c = c0 /√2, where c0 is the speed for the case without trap. We develop a Korteweg-de Vries (KdV) description for dark soliton propagation in the system and show that it is the quantum pressure that contributes the dispersion necessary for the formation of the dark solitons.
Key words ：
03.75.Fi
03.65.Ge
42.65.Tg
出版日期: 2001-05-01
引用本文:
HUANG Guo-Xiang. Korteweg-de Vries Description of Dark Solitons in Bose-Einstein Condensates[J]. 中国物理快报, 2001, 18(5): 628-630.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2001/V18/I5/628
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2001, Vol. 18 
