Interacting fermions in highly elongated harmonic traps

被引：76

作者：

Astrakharchik, GE ^{[1
]}

Blume, D

Giorgini, S

Pitaevskii, LP

机构：

[1] Univ Trent, Dipartimento Fis, I-38050 Povo, Italy

[2] INFM, BEC, I-38050 Povo, Italy

[3] Inst Spect, Troitsk 142190, Moscow Region, Russia

[4] Washington State Univ, Dept Phys, Pullman, WA 99164 USA

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 05期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.93.050402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quasi-one-dimensional two-component Fermi gases with effectively attractive and repulsive interactions are characterized for arbitrary interaction strength. The ground-state properties of the gas confined in highly elongated harmonic traps are determined within the local density approximation. For strong attractive effective interactions the existence of a molecular Tonks-Girardeau gas is predicted. The frequency of the lowest breathing mode is calculated as a function of the coupling strength for both attractive and repulsive interactions.

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页码：050402 / 1

页数：4

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共 28 条

[1] Atom-atom scattering under cylindrical harmonic confinement: Numerical and analytic studies of the confinement induced resonance [J].

Bergeman, T ;

Moore, MG ;

Olshanii, M .

PHYSICAL REVIEW LETTERS, 2003, 91 (16)

[2] COOPER PAIRING IN A SOLUBLE ONE-DIMENSIONAL MANY-FERMION MODEL [J].

CASAS, M ;

ESEBBAG, C ;

EXTREMERA, A ;

GETINO, JM ;

DELLANO, M ;

PLASTINO, A ;

RUBIO, H .

PHYSICAL REVIEW A, 1991, 44 (08) :4915-4922

[3] Bosons in cigar-shaped traps: Thomas-Fermi Tonks-Girardean regime, and in between [J].

Dunjko, V ;

Lorent, V ;

Olshanii, M .

PHYSICAL REVIEW LETTERS, 2001, 86 (24) :5413-5416

[4]

FUCHS JN, CONDMAT0402448

[5] Two-component Fermi gas in a one-dimensional harmonic trap [J].

Gao, XL ;

Wonneberger, W .

PHYSICAL REVIEW A, 2002, 65 (03) :7

[6] UN SYSTEME A UNE DIMENSION DE FERMIONS EN INTERACTION [J].

GAUDIN, M .

PHYSICS LETTERS A, 1967, A 24 (01) :55-&

[7] RELATIONSHIP BETWEEN SYSTEMS OF IMPENETRABLE BOSONS AND FERMIONS IN ONE DIMENSION [J].

GIRARDEAU, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1960, 1 (06) :516-523

[8] Ground-state properties of a one-dimensional system of hard-core bosons in a harmonic trap [J].

Girardeau, MD ;

Wright, EM ;

Triscari, JM .

PHYSICAL REVIEW A, 2001, 63 (03) :1-6

[9] Coupling constants for a degenerate Fermi gas confined to a quasi-one-dimensional harmonic trap [J].

Gleisberg, F ;

Wonneberger, W .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2004, 37 (07) :S59-S72

[10] Realization of Bose-Einstein condensates in lower dimensions -: art. no. 130402 [J].

Görlitz, A ;

Vogels, JM ;

Leanhardt, AE ;

Raman, C ;

Gustavson, TL ;

Abo-Shaeer, JR ;

Chikkatur, AP ;

Gupta, S ;

Inouye, S ;

Rosenband, T ;

Ketterle, W .

PHYSICAL REVIEW LETTERS, 2001, 87 (13) :130402/1-130402/4