Stability of dark solitons in a Bose-Einstein condensate trapped in an optical lattice -: art. no. 035602

被引：69
作者：
Kevrekidis, PG [1 ]
Carretero-González, R
Theocharis, G
Frantzeskakis, DJ
Malomed, BA
机构：
[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
[2] San Diego State Univ, Dept Math & Stat, Nonlinear Dynam Syst Grp, San Diego, CA 92182 USA
[3] Univ Athens, Dept Phys, Athens 15784, Greece
[4] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Studies, IL-69978 Tel Aviv, Israel
来源：
PHYSICAL REVIEW A | 2003年 / 68卷 / 03期
关键词：
D O I：
10.1103/PhysRevA.68.035602
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We investigate the stability of dark solitons (DSs) in an effectively one-dimensional Bose-Einstein condensate in the presence of the magnetic parabolic trap and an optical lattice (OL). The analysis is based on both the full Gross-Pitaevskii equation and its tight-binding approximation counterpart (discrete nonlinear Schrodinger equation). We find that DSs are subject to weak instabilities with an onset of instability mainly governed by the period and amplitude of the OL. The instability, if present, sets in at large times and it is characterized by quasiperiodic oscillations of the DS about the minimum of the parabolic trap.
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页数：4
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