Nonlinear coupling between scissors modes of a Bose-Einstein condensate

被引:16
作者
Al Khawaja, U [1 ]
Stoof, HTC [1 ]
机构
[1] Univ Utrecht, Inst Theoret Phys, NL-3584 CE Utrecht, Netherlands
来源
PHYSICAL REVIEW A | 2002年 / 65卷 / 01期
关键词
D O I
10.1103/PhysRevA.65.013605
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We explore the nonlinear coupling of the three scissors modes of an anisotropic Bose-Einstein condensate. We show that only when the frequency of one of the scissors modes is twice the frequency of another scissors mode, these two modes can be resonantly coupled and a down-conversion can occur. We perform the calculation variationally using a gaussian trial wave function. This enables us to obtain simple analytical results that describe the oscillation and resonance behavior of the two coupled modes.
引用
收藏
页数:7
相关论文
共 18 条
[1]   Ground-state properties of magnetically trapped Bose-condensed rubidium gas [J].
Baym, G ;
Pethick, CJ .
PHYSICAL REVIEW LETTERS, 1996, 76 (01) :6-9
[2]  
BELIAEV ST, 1958, SOV PHYS JETP, V34, P323
[3]   Bose-Einstein condensates in time dependent traps [J].
Castin, Y ;
Dum, R .
PHYSICAL REVIEW LETTERS, 1996, 77 (27) :5315-5319
[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]   Collective excitations of atomic Bose-Einstein condensates [J].
Edwards, M ;
Ruprecht, PA ;
Burnett, K ;
Dodd, RJ ;
Clark, CW .
PHYSICAL REVIEW LETTERS, 1996, 77 (09) :1671-1674
[6]  
Foot C., COMMUNICATION
[7]   Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas [J].
Guéry-Odelin, D ;
Stringari, S .
PHYSICAL REVIEW LETTERS, 1999, 83 (22) :4452-4455
[8]  
HECHENBLAIKNER G, CONDMAT0105394
[9]   Experimental observation of Beliaev coupling in a Bose-Einstein condensate [J].
Hodby, E ;
Maragò, OM ;
Hechenblaikner, G ;
Foot, CJ .
PHYSICAL REVIEW LETTERS, 2001, 86 (11) :2196-2199
[10]   Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases [J].
Jackson, B ;
Zaremba, E .
PHYSICAL REVIEW LETTERS, 2001, 87 (10)