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

被引：31

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

共 14 条

[1] Macroscopic quantum interference from atomic tunnel arrays [J].

Anderson, BP ;

Kasevich, MA .

SCIENCE, 1998, 282 (5394) :1686-1689

[2]

Ashcroft N. W., 1973, SOLID STATE PHYS

[3] Quantum logic gates in optical lattices [J].

Brennen, GK ;

Caves, CM ;

Jessen, PS ;

Deutsch, IH .

PHYSICAL REVIEW LETTERS, 1999, 82 (05) :1060-1063

[4] Stability of repulsive Bose-Einstein condensates in a periodic potential [J].

Bronski, JC ;

Carr, LD ;

Deconinck, B ;

Kutz, JN ;

Promislow, K .

PHYSICAL REVIEW E, 2001, 63 (03)

[5] Bose-Einstein condensates in standing waves: The cubic nonlinear Schrodinger equation with a periodic potential [J].

Bronski, JC ;

Carr, LD ;

Deconinck, B ;

Kutz, JN .

PHYSICAL REVIEW LETTERS, 2001, 86 (08) :1402-1405

[6] Output from Bose condensates in tunnel arrays: the role of mean-field interactions and of transverse confinement [J].

Chiofalo, ML ;

Tosi, MP .

PHYSICS LETTERS A, 2000, 268 (4-6) :406-412

[7] Bose-Einstein condensates in an optical lattice [J].

Choi, DI ;

Niu, Q .

PHYSICAL REVIEW LETTERS, 1999, 82 (10) :2022-2025

[8] STRUCTURE OF A QUANTIZED VORTEX IN BOSON SYSTEMS [J].

GROSS, EP .

NUOVO CIMENTO, 1961, 20 (03) :454-+

[9] A well-collimated quasi-continuous atom laser [J].

Hagley, EW ;

Deng, L ;

Kozuma, M ;

Wen, J ;

Helmerson, K ;

Rolston, SL ;

Phillips, WD .

SCIENCE, 1999, 283 (5408) :1706-1709

[10] Cold bosonic atoms in optical lattices [J].

Jaksch, D ;

Bruder, C ;

Cirac, JI ;

Gardiner, CW ;

Zoller, P .

PHYSICAL REVIEW LETTERS, 1998, 81 (15) :3108-3111

← 1 2 →