Analytical expressions of collective excitations for trapped superfluid Fermi gases in a BCS-BEC crossover

被引：41

作者：

Yin, Jun ^{[1
]}

Ma, Yong-li

Huang, Guoxiang

机构：

[1] Fudan Univ, Dept Phys, Shanghai 200433, Peoples R China

[2] E China Normal Univ, Dept Phys, Shanghai 200062, Peoples R China

来源：

PHYSICAL REVIEW A | 2006年 / 74卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.74.013609

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate the collective excitations of a harmonically trapped superfluid Fermi gas at varying coupling strengths across a BCS-BEC crossover. Using a hydrodynamic approach, we solve analytically the eigenvalue problem of collective modes and provide explicit expressions for all eigenvalues and eigenfunctions, which are valid for both BCS and BEC limits and also for the whole crossover regime. Both spherical- and axial-symmetric traps are taken into account, and the features of these collective modes in the BCS-BEC crossover are discussed and compared with available experimental and numerical data.

引用

页数：8

共 40 条

[1] Equation of state and collective frequencies of a trapped Fermi gas [J].

Astrakharchik, G.E. ;

Combescot, R. ;

Leyronas, X. ;

Stringari, S. .

Physical Review Letters, 2005, 95 (03)

[2] Equation of state of a Fermi gas in the BEC-BCS crossover: A quantum Monte Carlo study [J].

Astrakharchik, GE ;

Boronat, J ;

Casulleras, J ;

Giorgini, S .

PHYSICAL REVIEW LETTERS, 2004, 93 (20) :200404-1

[3] Low-energy collective excitations in a superfluid trapped Fermi gas [J].

Baranov, MA ;

Petrov, DS .

PHYSICAL REVIEW A, 2000, 62 (04) :1-4

[4] Collective excitations of a degenerate gas at the BEC-BCS crossover [J].

Bartenstein, M ;

Altmeyer, A ;

Riedl, S ;

Jochim, S ;

Chin, C ;

Denschlag, JH ;

Grimm, R .

PHYSICAL REVIEW LETTERS, 2004, 92 (20) :203201-1

[5] Hydrodynamic excitations of trapped Fermi gases [J].

Bruun, GM ;

Clark, CW .

PHYSICAL REVIEW LETTERS, 1999, 83 (26) :5415-5418

[6] Collective oscillations of a trapped fermi gas near the unitary limit [J].

Bulgac, A ;

Bertsch, GF .

PHYSICAL REVIEW LETTERS, 2005, 94 (07)

[7] Superfluid Fermi gases with large scattering length [J].

Carlson, J ;

Chang, SY ;

Pandharipande, VR ;

Schmidt, KE .

PHYSICAL REVIEW LETTERS, 2003, 91 (05) :504011-504014

[8] Quantum Monte Carlo studies of superfluid Fermi gases [J].

Chang, SY ;

Pandharipande, VR ;

Carlson, J ;

Schmidt, KE .

PHYSICAL REVIEW A, 2004, 70 (04) :043602-1

[9] BCS-BEC crossover: From high temperature superconductors to ultracold superfluids [J].

Chen, QJ ;

Stajic, J ;

Tan, S ;

Levin, K .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 412 (01) :1-88

[10] Observation of the pairing gap in a strongly interacting Fermi gas [J].