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 |
|
Cite this article: |
HUANG Guo-Xiang 2001 Chin. Phys. Lett. 18 628-630 |
|
|
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
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|