Stability of gap solitons in a Bose-Einstein condensate

被引：54
|
作者：
Hilligsoe, KM
Oberthaler, MK
Marzlin, KP
机构：
[1] Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany
[2] Univ Aarhus, Dept Phys & Astron, DK-8000 Aarhus C, Denmark
来源：
PHYSICAL REVIEW A | 2002年 / 66卷 / 06期
关键词：
D O I：
10.1103/PhysRevA.66.063605
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We analyze the dynamical stability of gap solitons formed in a quasi-one-dimensional Bose-Einstein condensate in an optical lattice. Using two different numerical methods we show that, under realistic assumptions for experimental parameters, a gap soliton is stable only in a truly one-dimensional situation. In two and three dimensions, resonant transverse excitations lead to dynamical instability. The time,scale of the decay is numerically calculated and shown to be large compared to the characteristic time scale solitons for realistic physical parameters.
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页数：7
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