Exact valence bond entanglement entropy and probability distribution in the XXX spin chain and the Potts model

被引：30

作者：

Jacobsen, J. L. ^{[1
,2
]}

Saleur, H. ^{[2
,3
]}

机构：

[1] Univ Paris 11, LPTMS, F-91405 Orsay, France

[2] CENS, Serv Phys Theor, F-91191 Gif Sur Yvette, France

[3] Univ So Calif, Dept Phys, Los Angeles, CA 90089 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 08期

关键词：

21;

D O I：

10.1103/PhysRevLett.100.087205

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We determine exactly the probability distribution of the number N-c of valence bonds connecting a subsystem of length L > 1 to the rest of the system in the ground state of the XXX antiferromagnetic spin chain. This provides, in particular, the asymptotic behavior of the valence-bond entanglement entropy S-VB=< N-c > ln2=4ln2/pi(2) lnL disproving a recent conjecture that this should be related with the von Neumann entropy, and thus equal to 1/3 lnL. Our results generalize to the Q-state Potts model.

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页数：4

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