Universal correlations of trapped one-dimensional impenetrable bosons

被引:68
作者
Gangardt, DM [1 ]
机构
[1] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[2] Ecole Normale Super, Lab Kastler Brossel, F-75231 Paris 05, France
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 40期
关键词
D O I
10.1088/0305-4470/37/40/002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We calculate the asymptotic behaviour of the one-body density matrix of one-dimensional impenetrable bosons in finite size geometries. Our approach is based on a modification of the replica method from the theory of disordered systems. We obtain explicit expressions for oscillating terms, similar to fermionic Friedel oscillations. These terms are universal and originate from the strong short-range correlations between bosons in one dimension.
引用
收藏
页码:9335 / 9356
页数:22
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