Gravity-induced resonances in a rotating trap

被引:10
作者
Bialynicki-Birula, I [1 ]
Sowinski, T [1 ]
机构
[1] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland
来源
PHYSICAL REVIEW A | 2005年 / 71卷 / 04期
关键词
D O I
10.1103/PhysRevA.71.043610
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It is shown that in an anisotropic harmonic trap that rotates with the properly chosen rotation rate, the force of gravity leads to a resonant behavior. Full analysis of the dynamics in an anisotropic, rotating trap in three dimensions is presented and several regions of stability are identified. On resonance, the oscillation amplitude of a single particle, or of the center of mass of a many-particle system (for example, BEC), grows linearly with time and all particles are expelled from the trap. The resonances can only occur when the rotation axis is tilted away from the vertical position. The positions of the resonances (there are always two of them) do not depend on the mass but only on the characteristic frequencies of the trap and on the direction of the angular velocity of rotation.
引用
收藏
页数:8
相关论文
共 18 条
[11]   Observation of the scissors mode and evidence for superfluidity of a trapped Bose-Einstein condensed gas [J].
Maragò, OM ;
Hopkins, SA ;
Arlt, J ;
Hodby, E ;
Hechenblaikner, G ;
Foot, CJ .
PHYSICAL REVIEW LETTERS, 2000, 84 (10) :2056-2059
[12]   Vortex lattice of a Bose-Einstein condensate in a rotating anisotropic trap -: art. no. 023618 [J].
Oktel, MÖ .
PHYSICAL REVIEW A, 2004, 69 (02) :12
[13]   STABLE, TIGHTLY CONFINING MAGNETIC TRAP FOR EVAPORATIVE COOLING OF NEUTRAL ATOMS [J].
PETRICH, W ;
ANDERSON, MH ;
ENSHER, JR ;
CORNELL, EA .
PHYSICAL REVIEW LETTERS, 1995, 74 (17) :3352-3355
[14]   Overcritical rotation of a trapped Bose-Einstein condensate [J].
Recati, A ;
Zambelli, F ;
Stringari, S .
PHYSICAL REVIEW LETTERS, 2001, 86 (03) :377-380
[15]   Critical rotation of a harmonically trapped Bose gas [J].
Rosenbusch, P ;
Petrov, DS ;
Sinha, S ;
Chevy, F ;
Bretin, V ;
Castin, Y ;
Shlyapnikov, G ;
Dalibard, J .
PHYSICAL REVIEW LETTERS, 2002, 88 (25) :4-250403
[16]   Dynamic instability of a rotating Bose-Einstein condensate [J].
Sinha, S ;
Castin, Y .
PHYSICAL REVIEW LETTERS, 2001, 87 (19)
[17]   Experimental observation of the tilting mode of an array of vortices in a dilute Bose-Einstein condensate [J].
Smith, NL ;
Heathcote, WH ;
Krueger, JM ;
Foot, CJ .
PHYSICAL REVIEW LETTERS, 2004, 93 (08) :080406-1
[18]  
WHITTAKER ET, 1904, TREATISE ANAL DYNAMI, P207