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.

引用

页码：177 / 184

页数：8

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