Korteweg-de Vries Description of Dark Solitons in Bose-Einstein Condensates

Chin. Phys. Lett.

2001, Vol. 18

Issue (5): 628-630 DOI:

Original Articles

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

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HUANG Guo-Xiang 2001 Chin. Phys. Lett. 18 628-630

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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.

Keywords: 03.75.Fi 03.65.Ge 42.65.Tg

Published: 01 May 2001

PACS:	03.75.Fi
	03.65.Ge	(Solutions of wave equations: bound states)
	42.65.Tg	(Optical solitons; nonlinear guided waves)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2001/V18/I5/0628

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