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Entanglement entropy of two disjoint blocks in critical Ising models

Source: Phys. Rev. B 81, 060411 (2010); doi:10.1103/PhysRevB.81.060411

Published 22 February 2010

PACS
  • 75.10.Pq
    Spin chain models (magnetism)
  • 64.70.Tg
    Quantum phase transitions
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • 05.70.Jk
    Critical point phenomena in thermodynamics
  • YEAR: 2010
PUBLICATION DATA
ISSN:
1553-9644 (online)
Publisher:
AIP is a member of CrossRef APS
Vincenzo Alba,1 Luca Tagliacozzo,2 and Pasquale Calabrese3
1Scuola Normale Superiore and INFN, Pisa, Italy
2School of Physical Sciences, The University of Queensland, Queensland 4072, Australia
3Dipartimento di Fisica, Università di Pisa and INFN, Pisa, Italy
We study the scaling of the Rényi 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. ©2010 The American Physical Society
History: Received 1 February 2010; published 22 February 2010
Permalink: http://link.aps.org/abstract/PRB/v81/e060411
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