Ground state entanglement in quantum spin chains

  • Authors:
  • J. I. Latorre;E. Rico;G. Vidal

  • Affiliations:
  • Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Barcelona, Spain;Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Barcelona, Spain;Institute for Quantum Information, California Institute for Technology, Pasadena, CA

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2004

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Abstract

A microscopic calculation of ground state entanglement for the XY and Heisenbergmodels shows the emergence of universal scaling behavior at quantum phase transitions,Entanglement is thus controlled by conformal symmetry, Away from the critical point,entanglement gets saturated by a mass scale, Results borrowed from conformal fieldtheory imply irreversibility of entanglement loss along renormalization group trajecto-ries. Entanglement does not saturate in higher dimensions which appears to limit thesuccess of the density matrix renormalization group technique. A possible connection be-tween majorization and renormalization group irreversibility emerges from our numericalanalysis.