Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps

被引:19
作者
Csordás, A
Graham, R
机构
[1] Hungarian Acad Sci, Res Grp Stat Phys, H-1088 Budapest, Hungary
[2] Univ Essen Gesamthsch, Fachbereich Phys, D-45117 Essen, Germany
来源
PHYSICAL REVIEW A | 1999年 / 59卷 / 02期
关键词
D O I
10.1103/PhysRevA.59.1477
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The wave equation of low-frequency density waves in Bose-Einstein condensates at vanishing temperature in arbitrarily anisotropic harmonic traps is separable in elliptic coordinates, provided the condensate can be treated in the Thomas-Fermi approximation. We present a complete solution of the mode functions, which are polynomials of finite order, and their eigenfrequencies, which are characterized by three-integer quantum numbers. [S1050-2947(99)01602-9].
引用
收藏
页码:1477 / 1487
页数:11
相关论文
共 23 条
[1]   OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].
ANDERSON, MH ;
ENSHER, JR ;
MATTHEWS, MR ;
WIEMAN, CE ;
CORNELL, EA .
SCIENCE, 1995, 269 (5221) :198-201
[2]   Ground-state properties of magnetically trapped Bose-condensed rubidium gas [J].
Baym, G ;
Pethick, CJ .
PHYSICAL REVIEW LETTERS, 1996, 76 (01) :6-9
[3]   Bose-Einstein condensates in time dependent traps [J].
Castin, Y ;
Dum, R .
PHYSICAL REVIEW LETTERS, 1996, 77 (27) :5315-5319
[4]   ELLIPTICAL BILLIARDS AND PONCELETS THEOREM [J].
CHANG, SJ ;
FRIEDBERG, R .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (07) :1537-1550
[5]   BOSE-EINSTEIN CONDENSATION IN A GAS OF SODIUM ATOMS [J].
DAVIS, KB ;
MEWES, MO ;
ANDREWS, MR ;
VANDRUTEN, NJ ;
DURFEE, DS ;
KURN, DM ;
KETTERLE, W .
PHYSICAL REVIEW LETTERS, 1995, 75 (22) :3969-3973
[6]   TRANSVERSAL HOMOCLINIC ORBITS IN AN INTEGRABLE SYSTEM [J].
DEVANEY, RL .
AMERICAN JOURNAL OF MATHEMATICS, 1978, 100 (03) :631-642
[7]   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
[8]   Ground state and excited states of a confined condensed Bose gas [J].
Fetter, AL .
PHYSICAL REVIEW A, 1996, 53 (06) :4245-4249
[9]   Hydrodynamic excitations of Bose condensates in anisotropic traps [J].
Fliesser, M ;
Csordas, A ;
Szepfalusy, P ;
Graham, R .
PHYSICAL REVIEW A, 1997, 56 (04) :R2533-R2536
[10]   Classical quasiparticle dynamics in trapped Bose condensates [J].
Fliesser, M ;
Csordas, A ;
Graham, R ;
Szepfalusy, P .
PHYSICAL REVIEW A, 1997, 56 (06) :4879-4889