Excitation spectrum in a cylindrical Bose-Einstein condensate

被引：8

作者：

Isoshima, T ^{[1
]}

Machida, K ^{[1
]}

机构：

[1] Okayama Univ, Dept Phys, Okayama 7008530, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 06期

关键词：

Bose-Einstein condensate; Na atomic gas; sound velocity; Bogoliubov equation; Popov equation;

D O I：

10.1143/JPSJ.67.1840

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The entire excitation spectrum within the Popov approximation of the Bogoliubov theory for a cylindrically symmetric Bose-Einstein condensate radially trapped by a harmonic potential is calculated. The full dispersion relation and the temperature dependence of its zero sound mode propagating along the axial direction are evaluated in a self-consistent manner. The sound velocity is shown to depend not only on the peak density, hut also on the axial area density. Recently conducted sound velocity experiment on a gas of Na atoms is discussed in light of the present theory.

引用

收藏

页码：1840 / 1843

页数：4

相关论文

共 20 条

[1] Propagation of sound in a Bose-Einstein condensate (vol 79, pg 553, 1997) [J].

Andrews, MR ;

Stamper-Kurn, DM ;

Miesner, HJ ;

Durfee, DS ;

Townsend, CG ;

Inouye, S ;

Ketterle, W .

PHYSICAL REVIEW LETTERS, 1998, 80 (13) :2967-2967

[2] Propagation of sound in a Bose-Einstein condensate [J].

Andrews, MR ;

Kurn, DM ;

Miesner, HJ ;

Durfee, DS ;

Townsend, CG ;

Inouye, S ;

Ketterle, W .

PHYSICAL REVIEW LETTERS, 1997, 79 (04) :553-556

[3] Semiclassical wave functions and energy levels of Bose-condensed gases in spherically symmetric traps [J].

Csordas, A ;

Graham, R ;

Szepfalusy, P .

PHYSICAL REVIEW A, 1997, 56 (06) :5179-5182

[4] 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

[5] Collective excitations of Bose-Einstein-condensed gases at finite temperatures [J].

Dodd, RJ ;

Edwards, M ;

Clark, CW ;

Burnett, K .

PHYSICAL REVIEW A, 1998, 57 (01) :R32-R35

[6] Ground state and excited states of a trapped dilute condensed Bose gas [J].

Fetter, AL .

CZECHOSLOVAK JOURNAL OF PHYSICS, 1996, 46 :3063-3069

[7] 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

[8] STRUCTURE OF THE PERTURBATION EXPANSION FOR THE BOSE LIQUID AT ZERO TEMPERATURE [J].

GAVORET, J ;

NOZIERES, P .

ANNALS OF PHYSICS, 1964, 28 (03) :349-399

[9] Excitations of a Bose-condensed gas in anisotropic traps [J].

Hutchinson, DAW ;

Zaremba, E .

PHYSICAL REVIEW A, 1998, 57 (02) :1280-1285

[10] Finite temperature excitations of a trapped Bose gas [J].

Hutchinson, DAW ;

Zaremba, E ;

Griffin, A .

PHYSICAL REVIEW LETTERS, 1997, 78 (10) :1842-1845