Exactly solvable model of the BCS-BEC crossover

被引：134

作者：

Fuchs, JN ^{[1
]}

Recati, A ^{[1
]}

Zwerger, W ^{[1
]}

机构：

[1] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

来源：

PHYSICAL REVIEW LETTERS | 2004年 / 93卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.93.090408

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss an integrable model of interacting fermions in one dimension that allows a complete description of the crossover from a BCS- to a Bose-like superfluid. This model bridges the Gaudin-Yang model of attractive spin 1/2 fermions to the Lieb-Liniger model of repulsive bosons. Using a geometric resonance in the one-dimensional scattering length, the inverse coupling constant varies from -infinity to +infinity while the system evolves from a BCS-like state through a Tonks-Girardeau gas to a weakly interacting Bose gas of dimers. We study the ground state energy, the elementary density and spin excitations, and the correlation functions. An experimental realization with cold atoms of such a one-dimensional BCS-BEC crossover is proposed.

引用

页码：090408 / 1

页数：4

共 35 条

[21] Exciting collective oscillations in a trapped 1D gas -: art. no. 250402 [J].

Moritz, H ;

Stöferle, T ;

Köhl, M ;

Esslinger, T .

PHYSICAL REVIEW LETTERS, 2003, 91 (25)

[22] BOSE CONDENSATION IN AN ATTRACTIVE FERMION GAS - FROM WEAK TO STRONG COUPLING SUPERCONDUCTIVITY [J].

NOZIERES, P ;

SCHMITTRINK, S .

JOURNAL OF LOW TEMPERATURE PHYSICS, 1985, 59 (3-4) :195-211

[23] Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons [J].

Olshanii, M .

PHYSICAL REVIEW LETTERS, 1998, 81 (05) :938-941

[24] Superconducting fluctuations in the Luther-Emery liquid [J].

Orignac, E ;

Poilblanc, D .

PHYSICAL REVIEW B, 2003, 68 (05)

[25]

PETROV DS, CONDMAT0309010

[26] BOUND-STATES, COOPER PAIRING, AND BOSE CONDENSATION IN 2 DIMENSIONS [J].

RANDERIA, M ;

DUAN, JM ;

SHIEH, LY .

PHYSICAL REVIEW LETTERS, 1989, 62 (09) :981-984

[27]

RANDERIA M, 1995, BOSEEINSTEIN CONDENS

[28] Creation of ultracold molecules from a Fermi gas of atoms [J].

Regal, CA ;

Ticknor, C ;

Bohn, JL ;

Jin, DS .

NATURE, 2003, 424 (6944) :47-50

[29]

REICHEL JJ, CONDMAT0310330

[30] CORRELATION EXPONENTS AND THE METAL-INSULATOR-TRANSITION IN THE ONE-DIMENSIONAL HUBBARD-MODEL [J].

SCHULZ, HJ .

PHYSICAL REVIEW LETTERS, 1990, 64 (23) :2831-2834

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