Dynamics of bright/dark solitons in Bose-Einstein condensates with time-dependent scattering length and external potential

被引:23
作者
Zhang Ai-Xia [1 ]
Xue Ju-Kui [1 ]
机构
[1] NW Normal Univ, Phys & Elect Engn Coll, Lanzhou 730070, Peoples R China
关键词
D O I
10.1088/0256-307X/25/1/011
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present an analytical study on the dynamics of bright and dark solitons in Bose-Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross-Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton's parameters (amplitude, width, and period) can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.
引用
收藏
页码:39 / 41
页数:3
相关论文
共 27 条
[1]   Adiabatic dynamics of periodic waves in Bose-Einstein condensates with time dependent atomic scattering length [J].
Abdullaev, FK ;
Kamchatnov, AM ;
Konotop, VV ;
Brazhnyi, VA .
PHYSICAL REVIEW LETTERS, 2003, 90 (23) :4
[2]   Adiabatic compression of soliton matter waves [J].
Abdullaev, FK ;
Salerno, M .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2003, 36 (13) :2851-2859
[3]   The dynamics of bright matter wave solitons in a quasi one-dimensional Bose-Einstein condensate with a rapidly varying trap [J].
Abdullaev, FK ;
Galimzyanov, R .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2003, 36 (06) :1099-1108
[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]   Dynamics of a matter-wave bright solitonin an expulsive potential [J].
Carr, LD ;
Castin, Y .
PHYSICAL REVIEW A, 2002, 66 (06) :10
[6]   Generating solitons by phase engineering of a Bose-Einstein condensate [J].
Denschlag, J ;
Simsarian, JE ;
Feder, DL ;
Clark, CW ;
Collins, LA ;
Cubizolles, J ;
Deng, L ;
Hagley, EW ;
Helmerson, K ;
Reinhardt, WP ;
Rolston, SL ;
Schneider, BI ;
Phillips, WD .
SCIENCE, 2000, 287 (5450) :97-101
[7]   Wave packet dynamics with Bose-Einstein condensates [J].
Dum, R ;
Sanpera, A ;
Suominen, KA ;
Brewczyk, M ;
Kus, M ;
Rzazewski, K ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 1998, 80 (18) :3899-3902
[8]   Propagation and breathing of matter-wave-packet trains [J].
Hai, WH ;
Lee, CH ;
Chong, GS .
PHYSICAL REVIEW A, 2004, 70 (05) :053621-1
[9]  
HIROKI S, 2003, PHYS REV LETT, V91, P403
[10]   Two-dimensional solitons in Bose-Einstein condensates with a disk-shaped trap [J].
Huang, GX ;
Makarov, VA ;
Velarde, MG .
PHYSICAL REVIEW A, 2003, 67 (02) :12