Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates

被引:47
作者
Brazhnyi, VA [1 ]
Konotop, VV [1 ]
机构
[1] Univ Lisbon, Ctr Fis Teor & Computac, P-1649003 Lisbon, Portugal
来源
PHYSICAL REVIEW A | 2003年 / 68卷 / 04期
关键词
D O I
10.1103/PhysRevA.68.043613
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Evolution of a dark soliton in a one-dimensional Bose-Einstein condensate trapped by a harmonic potential is studied analytically and numerically. In the case of a deep soliton, main characteristics of its motion such as frequency and amplitude of oscillations are calculated by means of the perturbation theory which in the leading order results in a Newtonian dynamics, corrections to which are computed as well.
引用
收藏
页数:10
相关论文
共 17 条
[1]   Propagation of sound in a Bose-Einstein condensate [J].
Andrews, MR ;
Kurn, DM ;
Miesner, HJ ;
Durfee, DS ;
Townsend, CG ;
Inouye, S ;
Ketterle, W .
PHYSICAL REVIEW LETTERS, 1997, 79 (04) :553-556
[2]   Creation and evolution of trains of dark solitons in a trapped one-dimensional Bose-Einstein condensate [J].
Brazhnyi, VA ;
Kamchatnov, AM .
PHYSICAL REVIEW A, 2003, 68 (04) :7
[3]  
BRAZHNYI VA, CONDMAT0301319
[4]   Dark solitons in Bose-Einstein condensates [J].
Burger, S ;
Bongs, K ;
Dettmer, S ;
Ertmer, W ;
Sengstock, K ;
Sanpera, A ;
Shlyapnikov, GV ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 1999, 83 (25) :5198-5201
[5]   Motion of dark solitons in trapped Bose-Einstein condensates [J].
Busch, T ;
Anglin, JR .
PHYSICAL REVIEW LETTERS, 2000, 84 (11) :2298-2301
[6]   Dynamics of the Bose-Einstein condensate: quasi-one-dimension and beyond [J].
Carr, LD ;
Leung, MA ;
Reinhardt, WP .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2000, 33 (19) :3983-4001
[7]   Theory of Bose-Einstein condensation in trapped gases [J].
Dalfovo, F ;
Giorgini, S ;
Pitaevskii, LP ;
Stringari, S .
REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512
[8]   Dark solitons and their head-on collisions in Bose-Einstein condensates [J].
Huang, GX ;
Velarde, MG ;
Makarov, VA .
PHYSICAL REVIEW A, 2001, 64 (01) :136171-1361713
[9]   Solitary waves in clouds of Bose-Einstein condensed atoms [J].
Jackson, AD ;
Kavoulakis, GM ;
Pethick, CJ .
PHYSICAL REVIEW A, 1998, 58 (03) :2417-2422
[10]   Modulational instability in Bose-Einstein condensates in optical lattices [J].
Konotop, VV ;
Salerno, M .
PHYSICAL REVIEW A, 2002, 65 (02) :1-4