Entanglement entropy of two disjoint blocks in critical Ising models

被引：100

作者：

Alba, Vincenzo ^{[1
,2
]}

Tagliacozzo, Luca ^{[3
]}

Calabrese, Pasquale ^{[2
,4
]}

机构：

[1] Scuola Normale Super Pisa, Pisa, Italy

[2] Ist Nazl Fis Nucl, Pisa, Italy

[3] Univ Queensland, Sch Phys Sci, Brisbane, Qld 4072, Australia

[4] Univ Pisa, Dipartimento Fis, Pisa, Italy

来源：

PHYSICAL REVIEW B | 2010年 / 81卷 / 06期

关键词：

FIELD-THEORY;

D O I：

10.1103/PhysRevB.81.060411

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the scaling of the Renyi and entanglement entropy of two disjoint blocks of critical Ising models as function of their sizes and separations. We present analytic results based on conformal field theory that are quantitatively checked in numerical simulations of both the quantum spin chain and the classical two-dimensional Ising model. Theoretical results match the ones obtained from numerical simulations only after taking properly into account the corrections induced by the finite length of the blocks to their leading scaling behavior.

引用

页数：4

共 46 条

[1]

Alba V., UNPUB

[2] Entanglement in many-body systems [J].

Amico, Luigi ;

Fazio, Rosario ;

Osterloh, Andreas ;

Vedral, Vlatko .

REVIEWS OF MODERN PHYSICS, 2008, 80 (02) :517-576

[3] Conformal invariance in two-dimensional turbulence [J].

Bernard, D ;

Boffetta, G ;

Celani, A ;

Falkovich, G .

NATURE PHYSICS, 2006, 2 (02) :124-128

[4] Entanglement entropy and quantum field theory [J].

Calabrese, P ;

Cardy, J .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,

[5]

CALABRESE P, ARXIV09114660

[6] Entanglement entropy and quantum field theory: A non-technical introduction [J].

Calabrese, Pasquale ;

Cardy, John .

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2006, 4 (03) :429-438

[7] Entanglement entropy in extended quantum systems INTRODUCTION [J].

Calabrese, Pasquale ;

Cardy, John ;

Doyon, Benjamin .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (50)

[8] Entanglement entropy of two disjoint intervals in conformal field theory [J].

Calabrese, Pasquale ;

Cardy, John ;

Tonni, Erik .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,

[9] Entanglement spectrum in one-dimensional systems [J].

Calabrese, Pasquale ;

Lefevre, Alexandre .

PHYSICAL REVIEW A, 2008, 78 (03)

[10] Entanglement entropy and conformal field theory [J].

Calabrese, Pasquale ;

Cardy, John .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (50)

← 1 2 3 4 5 →