Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms

被引：18

作者：

Guan, X. W. ^{[1
]}

Lee, J. -Y. ^{[1
]}

Batchelor, M. T. ^{[1
,2
]}

Yin, X. -G. ^{[3
]}

Chen, Shu ^{[3
]}

机构：

[1] Australian Natl Univ, Dept Theoret Phys, Res Sch Phys & Engn, Canberra, ACT 0200, Australia

[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

[3] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China

来源：

PHYSICAL REVIEW A | 2010年 / 82卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

MANY-BODY PROBLEM;

D O I：

10.1103/PhysRevA.82.021606

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A simple set of algebraic equations is derived for the exact low-temperature thermodynamics of one-dimensional multicomponent strongly attractive fermionic atoms with enlarged SU(N) spin symmetry and Zeeman splitting. Universal multicomponent Tomonaga-Luttinger liquid (TLL) phases are thus determined. For linear Zeeman splitting, the physics of the gapless phase at low temperatures belongs to the universality class of a two-component asymmetric TLL corresponding to spin-neutral N-atom composites and spin-(N - 1)/2 single atoms. The equation of state which we obtained provides a precise description of multicomponent composite fermions and opens up the study of quantum criticality in one-dimensional systems of N-component Fermi gases with population imbalance.

引用

页数：4

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