Entanglement entropy in the Lipkin-Meshkov-Glick model -: art. no. 064101

被引：181

作者：

Latorre, JI ^{[1
]}

Orús, R

Rico, E

Vidal, J

机构：

[1] Univ Barcelona, Dept Estructura & Constituents Mat, E-08028 Barcelona, Spain

[2] Univ Paris 06, CNRS, UMR 7600, Lab Phys Theor Mat Condensee, F-75252 Paris, France

来源：

PHYSICAL REVIEW A | 2005年 / 71卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.71.064101

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analyze the entanglement entropy in the Lipkin-Meshkov-Glick model, which describes mutually interacting spin 1/2 embedded in a magnetic field. This entropy displays a singularity at the critical point that we study as a function of the interaction anisotropy, the magnetic field, and the system size. Results emerging from our analysis are surprisingly similar to those found for the one- dimensional XY chain.

引用

收藏

页数：4

相关论文

共 35 条

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

Calabrese, P ;

Cardy, J .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2004,

[2] Quantum superposition states of Bose-Einstein condensates [J].

Cirac, JI ;

Lewenstein, M ;

Molmer, K ;

Zoller, P .

PHYSICAL REVIEW A, 1998, 57 (02) :1208-1218

[3] COHERENCE IN SPONTANEOUS RADIATION PROCESSES [J].

DICKE, RH .

PHYSICAL REVIEW, 1954, 93 (01) :99-110

[4] Continuous unitary transformations and finite-size scaling exponents in the Lipkin-Meshkov-Glick model [J].

Dusuel, S ;

Vidal, J .

PHYSICAL REVIEW B, 2005, 71 (22)

[5] Finite-size scaling exponents and entanglement in the two-level BCS model [J].

Dusuel, S ;

Vidal, J .

PHYSICAL REVIEW A, 2005, 71 (06)

[6] Finite-size scaling exponents of the Lipkin-Meshkov-Glick model [J].

Dusuel, S ;

Vidal, J .

PHYSICAL REVIEW LETTERS, 2004, 93 (23)

[7]

GINSPARG P, 1988, P LES HOUCH SUMM SCH

[8] VALIDITY OF MANY-BODY APPROXIMATION METHODS FOR A SOLVABLE MODEL .3. DIAGRAM SUMMATIONS [J].

GLICK, AJ ;

LIPKIN, HJ ;

MESHKOV, N .

NUCLEAR PHYSICS, 1965, 62 (02) :211-&

[9] Ground state entanglement and geometric entropy in the Kitaev model [J].

Hamma, A ;

Ionicioiu, R ;

Zanardi, P .

PHYSICS LETTERS A, 2005, 337 (1-2) :22-28

[10] GEOMETRIC AND RENORMALIZED ENTROPY IN CONFORMAL FIELD-THEORY [J].

HOLZHEY, C ;

LARSEN, F ;

WILCZEK, F .

NUCLEAR PHYSICS B, 1994, 424 (03) :443-467

← 1 2 3 4 →