Entanglement entropy beyond the free case

被引：82

作者：

Barthel, Thomas ^{[1
]}

Dusuel, Sebastien

Vidal, Julien

机构：

[1] Rhein Westfal TH Aachen, Inst Theoret Phys C, D-52056 Aachen, Germany

[2] Lycee Louis Thuillier, F-80098 Amiens 3, France

[3] Univ Paris 06, CNRS, Lab Phys Theor Matiere Condensee, UMR 7600, F-75252 Paris 05, France

来源：

PHYSICAL REVIEW LETTERS | 2006年 / 97卷 / 22期

关键词：

D O I：

10.1103/PhysRevLett.97.220402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement entropy scales logarithmically with the subsystem size, the system size, and the anisotropy parameter. We determine the corresponding scaling prefactors and evaluate the leading finite-size correction to the entropy. Our analytical predictions are in perfect agreement with numerical results.

引用

页数：4

共 30 条

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

HOLZHEY, C ;

LARSEN, F ;

WILCZEK, F .

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

[12] Entanglement in the XY spin chain [J].

Its, AR ;

Jin, BQ ;

Korepin, VE .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (13) :2975-2990

[13] Universality of entropy scaling in one dimensional gapless models [J].

Korepin, VE .

PHYSICAL REVIEW LETTERS, 2004, 92 (09) :096402-1

[14] Entanglement and the phase transition in single-mode superradiance [J].

Lambert, N ;

Emary, C ;

Brandes, T .

PHYSICAL REVIEW LETTERS, 2004, 92 (07)

[15] Entanglement entropy in the Lipkin-Meshkov-Glick model -: art. no. 064101 [J].

Latorre, JI ;

Orús, R ;

Rico, E ;

Vidal, J .

PHYSICAL REVIEW A, 2005, 71 (06)

[16] VALIDITY OF MANY-BODY APPROXIMATION METHODS FOR A SOLVABLE MODEL .I. EXACT SOLUTIONS AND PERTURBATION THEORY [J].

LIPKIN, HJ ;

MESHKOV, N ;

GLICK, AJ .

NUCLEAR PHYSICS, 1965, 62 (02) :188-&

[17]

Nielsen Michael A, 2002, Quantum computation and quantum information, DOI DOI 10.1119/1.1463744

[18]

Osborne TJ, 2002, PHYS REV A, V66, DOI 10.1103/PhysRevA.66.032110

[19] Scaling of entanglement close to a quantum phase transition [J].

Osterloh, A ;

Amico, L ;

Falci, G ;

Fazio, R .

NATURE, 2002, 416 (6881) :608-610

[20] Density matrices for a chain of oscillators [J].

Peschel, I ;

Chung, MC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (48) :8419-8428

← 1 2 3 →