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
[1]  
ALBIEZ M, 2004, CONDMAT0411757
[2]   MODULATIONAL INSTABILITY AND GAP SOLITONS IN A FINITE JOSEPHSON TRANSMISSION-LINE [J].
BARDAY, D ;
REMOISSENET, M .
PHYSICAL REVIEW B, 1991, 43 (09) :7297-7300
[3]   DISINTEGRATION OF WAVE TRAINS ON DEEP WATER .1. THEORY [J].
BENJAMIN, TB ;
FEIR, JE .
JOURNAL OF FLUID MECHANICS, 1967, 27 :417-&
[4]   Observation of phase fluctuations in elongated Bose-Einstein condensates [J].
Dettmer, S ;
Hellweg, D ;
Ryytty, P ;
Arlt, JJ ;
Ertmer, W ;
Sengstock, K ;
Petrov, DS ;
Shlyapnikov, GV ;
Kreutzmann, H ;
Santos, L ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 2001, 87 (16) :art. no.-160406
[5]   Role of wire imperfections in micromagnetic traps for atoms -: art. no. 042629 [J].
Estève, J ;
Aussibal, C ;
Schumm, T ;
Figl, C ;
Mailly, D ;
Bouchoule, I ;
Westbrook, CI ;
Aspect, A .
PHYSICAL REVIEW A, 2004, 70 (04) :043629-1
[6]   Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice [J].
Fallani, L ;
De Sarlo, L ;
Lye, JE ;
Modugno, M ;
Saers, R ;
Fort, C ;
Inguscio, M .
PHYSICAL REVIEW LETTERS, 2004, 93 (14) :140406-1
[7]  
Folman R, 2002, ADV ATOM MOL OPT PHY, V48, P263
[8]   Surface effects in magnetic microtraps -: art. no. 041604 [J].
Fortágh, J ;
Ott, H ;
Kraft, S ;
Günther, A ;
Zimmermann, C .
PHYSICAL REVIEW A, 2002, 66 (04) :4
[10]   Cold atoms probe the magnetic field near a wire [J].
Jones, MPA ;
Vale, CJ ;
Sahagun, D ;
Hall, BV ;
Eberlein, CC ;
Sauer, BE ;
Furusawa, K ;
Richardson, D ;
Hinds, EA .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2004, 37 (02) :L15-L20