Matter-Wave Solitons in Two-Dimensional Bose-Einstein Condensates with Time-Dependent Scattering Length in a Harmonic Trap

We present three families of one-soliton solutions for （2＋1）-dimensional Gross-Pitaevskii equation with both time-dependent scattering length and gain or loss in a harmonic trap. Then we investigate the dynamics of these solitons in Bose-Einstein condensate8 （BECs） by some selected control functions...

Full description

Saved in:
Bibliographic Details
Published in:Communications in theoretical physics 2011-09, Vol.56 (9), p.445-450, Article 445
Main Author: 刘晓蓓 李彪
Format: Article
Language:English
Subjects:
Bose-Einstein condensates
Dynamic tests
Gain
Harmonics
Mathematical analysis
Scattering
Solitons
Trains
孤子解
散射长度
时间依赖性
爱因斯坦凝聚
物质波
玻色
谐波
陷阱
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We present three families of one-soliton solutions for （2＋1）-dimensional Gross-Pitaevskii equation with both time-dependent scattering length and gain or loss in a harmonic trap. Then we investigate the dynamics of these solitons in Bose-Einstein condensate8 （BECs） by some selected control functions. Our results show that the intensities of these solitons first increase rapidly to the condensation peak, then decay very slowly to the background; thus the lifetime of a bright soliton, a train of bright solitons and a dark soliton in BECs can be all greatly extended. Our results offer a useful method for observing matter-wave solitons in BECs in future experiments.
ISSN:0253-6102
DOI:10.1088/0253-6102/56/3/09