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Thermal entanglement of spin chains with quantum critical behavior

Source: Phys. Rev. B 80, 144408 (2009); doi:10.1103/PhysRevB.80.144408

Published 12 October 2009

KEYWORDS and PACS
Keywords
PACS
  • 75.10.Jm
    Quantized spin models (magnetism)
  • 75.10.Pq
    Spin chain models (magnetism)
  • 03.65.Ud
    Entanglement and quantum nonlocality
  • 03.67.Mn
    Entanglement measures, witnesses, and other characterizations (quantum information)
  • YEAR: 2009
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PUBLICATION DATA
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A. A. Zvyagin
Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str., 38, D-01187 Dresden, Germany and B.I. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Lenin Avenue, 47, Kharkov 61103, Ukraine
Results for the characteristics of the macroscopic thermal entanglement for integrable spin-1/2 antiferromagnetic chain models with multispin interactions in the thermodynamic limit are presented. Such interactions cause quantum-phase transitions to incommensurate phases with partial spontaneous magnetization. We have derived exact equations, which determine the thermal and magnetic field behavior of the concurrence of spin chains. The analysis of these equations shows that there exists a critical temperature, below which the thermal entanglement of considered spin chains is nonzero. We have shown that at those quantum-phase transitions, caused by multispin interactions, the thermal entanglement is reduced. Also, we have shown that the thermal entanglement is reduced due to nonzero magnetization of spin chains in the ground state, caused by multispin interactions. ©2009 The American Physical Society
History: Received 22 May 2009; revised 20 July 2009; published 12 October 2009
Permalink: http://link.aps.org/abstract/PRB/v80/e144408

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