Stability of exact solutions of the defocusing nonlinear Schrodinger equation with periodic potential in two dimensions

被引：30
|
作者：
Deconinck, B [1 ]
Frigyik, BA [1 ]
Kutz, JN [1 ]
机构：
[1] Univ Washington, Dept Appl Math, Seattle, WA 98195 USA
来源：
PHYSICS LETTERS A | 2001年 / 283卷 / 3-4期
关键词：
Bose-Einstein condensates; two-dimensional nonlinear Schrodinger equation; periodic potential; elliptic functions;
D O I：
10.1016/S0375-9601(01)00243-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The cubic nonlinear Schrodinger equation with repulsive nonlinearity and elliptic function potential in two-dimensions models a repulsive dilute gas Bose-Einstein condensate in a lattice potential. A family of exact stationary solutions is presented and its stability is examined using analytical and numerical methods. All stable trivial-phase solutions are off-set from the zero level. Our results imply that a large number of condensed atoms is sufficient to form a stable, periodic condensate. (C) 2001 Elsevier Science B.V. All rights reserved.
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页码：177 / 184
页数：8
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