Low-energy elementary excitations of a trapped Bose-condensed gas

被引:102
作者
Ohberg, P
Surkov, EL
Tittonen, I
Stenholm, S
Wilkens, M
Shlyapnikov, GV
机构
[1] RUSSIAN RES CTR, IV KURCHATOV ATOM ENERGY INST, MOSCOW 123182, RUSSIA
[2] FOM, INST ATOM & MOL PHYS, NL-1098 SJ AMSTERDAM, NETHERLANDS
[3] UNIV KONSTANZ, FAK PHYS, D-78434 CONSTANCE, GERMANY
来源
PHYSICAL REVIEW A | 1997年 / 56卷 / 05期
关键词
D O I
10.1103/PhysRevA.56.R3346
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We develop a method of finding analytical solutions of the Bogolyubov-de Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the presence of an accidental degeneracy in the excitation spectrum at certain values of the projection of orbital angular momentum on the symmetry axis and discuss possible consequences of the degeneracy in the context of new signatures of Bose-Einstein condensation. [S1050-2947(97)51410-7].
引用
收藏
页码:R3346 / R3349
页数:4
相关论文
共 22 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]   Direct, nondestructive observation of a bose condensate [J].
Andrews, MR ;
Mewes, MO ;
vanDruten, NJ ;
Durfee, DS ;
Kurn, DM ;
Ketterle, W .
SCIENCE, 1996, 273 (5271) :84-87
[3]   EVIDENCE OF BOSE-EINSTEIN CONDENSATION IN AN ATOMIC GAS WITH ATTRACTIVE INTERACTIONS [J].
BRADLEY, CC ;
SACKETT, CA ;
TOLLETT, JJ ;
HULET, RG .
PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1687-1690
[4]   Bose-Einstein condensates in time dependent traps [J].
Castin, Y ;
Dum, R .
PHYSICAL REVIEW LETTERS, 1996, 77 (27) :5315-5319
[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]  
de Gennes P. G., 1966, SUPERCONDUCTIVITY ME
[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]   ATOMIC-HYDROGEN IN AN INHOMOGENEOUS MAGNETIC-FIELD - DENSITY PROFILE AND BOSE-EINSTEIN CONDENSATION [J].
GOLDMAN, VV ;
SILVERA, IF ;
LEGGETT, AJ .
PHYSICAL REVIEW B, 1981, 24 (05) :2870-2873
[9]   Hydrodynamic modes in a trapped bose gas above the Bose-Einstein transition [J].
Griffin, A ;
Wu, WC ;
Stringari, S .
PHYSICAL REVIEW LETTERS, 1997, 78 (10) :1838-1841
[10]   THE DENSITY DISTRIBUTION OF A WEAKLY INTERACTING BOSE-GAS IN AN EXTERNAL POTENTIAL [J].
HUSE, DA ;
SIGGIA, ED .
JOURNAL OF LOW TEMPERATURE PHYSICS, 1982, 46 (1-2) :137-149