Modulational instabilities in Josephson oscillations of elongated coupled condensates

被引:23
作者
Bouchoule, I [1 ]
机构
[1] CNRS, UMR 8501, Inst Opt, Lab Charles Fabry, F-91403 Orsay, France
关键词
D O I
10.1140/epjd/e2005-00091-y
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study the Josephson oscillations of two coupled elongated condensates. Linearized calculations show that the oscillating mode uniform over the length of the condensates (uniform Josephson mode) is unstable: modes of non zero longitudinal momentum grow exponentially. In the limit of strong atom interactions, we give scaling laws for the instability time constant and unstable wave vectors. Beyond the linearized approach, numerical calculations show a damped recurrence behavior: the energy in the Josephson mode presents damped oscillations. Finally, we derive conditions on the confinement of the condensates to prevent instabilities.
引用
收藏
页码:147 / 154
页数:8
相关论文
共 29 条
[11]   Josephson vortex between two atomic Bose-Einstein condensates [J].
Kaurov, VM ;
Kuklov, AB .
PHYSICAL REVIEW A, 2005, 71 (01)
[12]   Modulational instability in Bose-Einstein condensates in optical lattices [J].
Konotop, VV ;
Salerno, M .
PHYSICAL REVIEW A, 2002, 65 (02) :1-4
[13]   Bose-Einstein condensation in the alkali gases: Some fundamental concepts [J].
Leggett, AJ .
REVIEWS OF MODERN PHYSICS, 2001, 73 (02) :307-356
[14]  
Likharev K.K., 1986, Dynamics of Josephson Junctions and Circuits
[15]   Exciting collective oscillations in a trapped 1D gas -: art. no. 250402 [J].
Moritz, H ;
Stöferle, T ;
Köhl, M ;
Esslinger, T .
PHYSICAL REVIEW LETTERS, 2003, 91 (25)
[16]  
NEWELL AC, 1985, SOLITONS MATH PHYSIC, P43
[18]   Quantum oscillations between two weakly coupled reservoirs of superfluid He-3 [J].
Pereverzev, SV ;
Loshak, A ;
Backhaus, S ;
Davis, JC ;
Packard, RE .
NATURE, 1997, 388 (6641) :449-451
[19]  
RICHARD S, CONDMAT0303137
[20]  
SCHUBOTZ H, 1905, ARCH PROTISTENKD, V6, P1