Two-component interacting Tonks-Girardeau gas in a one-dimensional optical lattice

被引：9

作者：

Chen, Shu ^{[1
,2
,3
]}

Cao, Junpeng ^{[3
]}

Gu, Shi-Jian ^{[1
,2
]}

机构：

[1] Chinese Univ Hong Kong, Dept Phys, Hong Kong, Hong Kong, Peoples R China

[2] Chinese Univ Hong Kong, ITP, Hong Kong, Hong Kong, Peoples R China

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

来源：

EPL | 2009年 / 85卷 / 06期

关键词：

MANY-BODY PROBLEM; ULTRACOLD ATOMS; GROUND-STATE; TRANSITION; MIXTURES; FERMIONS; BOSONS; MODEL;

D O I：

10.1209/0295-5075/85/60004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The two-component interacting Bose gas confined in a one-dimensional optical lattice with infinite intra-component repulsive interactions and tunable inter-component repulsions is studied. By a generalized Jordan-Wigner transformation, it is shown that this model can be solved exactly. The energy spectrum and explicit wave function are obtained. The physical quantities such as the off-diagonal density matrix, momentum distribution and single-particle von Neumann entropy of the present model display different properties from those of the Fermi-Hubbard model due to the different intrinsic symmetry of particles. Copyright (C) EPLA, 2009

引用

页数：5

共 26 条

[1] Phase diagram of two-component bosons on an optical lattice [J].

Altman, E ;

Hofstetter, W ;

Demler, E ;

Lukin, MD .

NEW JOURNAL OF PHYSICS, 2003, 5 :113.1-113.19

[2] Binary Bose-Einstein condensate mixtures in weakly and strongly segregated phases [J].

Ao, P ;

Chui, ST .

PHYSICAL REVIEW A, 1998, 58 (06) :4836-4840

[3] Instabilities in binary mixtures of one-dimensional quantum degenerate gases [J].

Cazalilla, MA ;

Ho, AF .

PHYSICAL REVIEW LETTERS, 2003, 91 (15) :150403-150403

[4]

Cloizeaux J., 1966, J MATH PHYS, V7, P1384

[5] Exact solution of strongly interacting quasi-one-dimensional spinor Bose gases [J].

Deuretzbacher, F. ;

Fredenhagen, K. ;

Becker, D. ;

Bongs, K. ;

Sengstock, K. ;

Pfannkuche, D. .

PHYSICAL REVIEW LETTERS, 2008, 100 (16)

[6] Controlling spin exchange interactions of ultracold atoms in optical lattices [J].

Duan, LM ;

Demler, E ;

Lukin, MD .

PHYSICAL REVIEW LETTERS, 2003, 91 (09)

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

GAUDIN, M .

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

[8] PERMUTATION SYMMETRY OF MANY-PARTICLE WAVE FUNCTIONS [J].

GIRARDEA.MD .

PHYSICAL REVIEW, 1965, 139 (2B) :B500-&

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

GIRARDEAU, M .

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

[10] Soluble models of strongly interacting ultracold gas mixtures in tight waveguides [J].

Girardeau, M. D. ;

Minguzzi, A. .

PHYSICAL REVIEW LETTERS, 2007, 99 (23)

← 1 2 3 →