Coupled-mode theory for Bose-Einstein condensates

被引:158
作者
Ostrovskaya, EA [1 ]
Kivshar, YS
Lisak, M
Hall, B
Cattani, F
Anderson, D
机构
[1] Australian Natl Univ, Ctr Opt Sci, Canberra, ACT 0200, Australia
[2] Chalmers Univ Technol, Dept Electromagnet, S-41296 Gothenburg, Sweden
来源
PHYSICAL REVIEW A | 2000年 / 61卷 / 03期
关键词
D O I
10.1103/PhysRevA.61.031601
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We apply the concepts of nonlinear guided-wave optics to a Bose-Einstein condensate (BEC) trapped in an external potential. As an example, we consider a parabolic double-well potential and derive coupled-mode equations for the complex amplitudes of the BEC macroscopic collective modes. Our equations describe different regimes of the condensate dynamics, including the nonlinear Josephson effect for any separation between the wells. We demonstrate macroscopic self-trapping for both repulsive and attractive interactions, and confirm our results by direct numerical solution of the Gross-Pitaevskii-equation.
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页数:4
相关论文
共 21 条
[1]   Optical modes in photonic molecules [J].
Bayer, M ;
Gutbrod, T ;
Reithmaier, JP ;
Forchel, A ;
Reinecke, TL ;
Knipp, PA ;
Dremin, AA ;
Kulakovskii, VD .
PHYSICAL REVIEW LETTERS, 1998, 81 (12) :2582-2585
[2]   Bose-Einstein condensation in harmonic double wells [J].
Capuzzi, P ;
Hernández, ES .
PHYSICAL REVIEW A, 1999, 59 (02) :1488-1494
[3]  
CAPUZZI P, CONDMAT9902140
[4]   Theory of Bose-Einstein condensation in trapped gases [J].
Dalfovo, F ;
Giorgini, S ;
Pitaevskii, LP ;
Stringari, S .
REVIEWS OF MODERN PHYSICS, 1999, 71 (03) :463-512
[5]  
KIVSHAR YS, CONDMAT9907475
[6]  
KIVSHAR YS, CONDMAT9905048
[7]   Bose-condensate tunneling dynamics: Momentum-shortened pendulum with damping [J].
Marino, I ;
Raghavan, S ;
Fantoni, S ;
Shenoy, SR ;
Smerzi, A .
PHYSICAL REVIEW A, 1999, 60 (01) :487-493
[8]   Vortices in a Bose-Einstein condensate [J].
Matthews, MR ;
Anderson, BP ;
Haljan, PC ;
Hall, DS ;
Wieman, CE ;
Cornell, EA .
PHYSICAL REVIEW LETTERS, 1999, 83 (13) :2498-2501
[9]  
MATTHEWS MR, CONDMAT9906288
[10]  
MERZBACHER E, 1961, QUANTUM MECHANICS, P65