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

• 来源期刊: 中国物理快报(英文版)
• 学科: 物理学
• 年，卷（期）: 2001,（5）
• 所属期刊栏目: GENERAL
• 页码范围: 628-630
• 页数: 3页
• 分类号: O4
• 语种: 英文

摘要

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/ , where c0 is the speed for the case without a 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.