Exactly solvable model of the BCS-BEC crossover

被引：133

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

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