Off-diagonal correlations of lattice impenetrable bosons in one dimension

被引：16
|
作者：
Gangardt, D. M. [1 ]
Shlyapnikov, G. V.
机构：
[1] Univ Paris 11, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France
[2] Univ Amsterdam, Van Der Waals Zeeman Inst, NL-1018 XE Amsterdam, Netherlands
来源：
NEW JOURNAL OF PHYSICS | 2006年 / 8卷
关键词：
D O I：
10.1088/1367-2630/8/8/167
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We consider off-diagonal correlation functions of impenetrable bosons on a lattice. By using the Jordan - Wigner transformation the one-body density matrix is represented as a (Toeplitz) determinant of a matrix of fermionic Green functions. Using the replica method we calculate exactly the full long-range asymptotic behaviour of the one-body density matrix. We discuss how subleading oscillating terms, originating from short-range correlations, give rise to interesting features in the momentum distribution.
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页数：14
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