Global quantum correlations in finite-size spin chains

Steve Campbell, L. Mazzola, G. De Chiara, T. J. G. Apollaro, F. Plastina, Th Busch, M. Paternostro

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Abstract

We perform an extensive study of the properties of global quantum correlations in finite-size one-dimensional quantum spin models at finite temperature. By adopting a recently proposed measure for global quantum correlations (Rulli and Sarandy 2011 Phys. Rev. A 84 042109), called global discord, we show that critical points can be neatly detected even for many-body systems that are not in their ground state. We consider the transverse Ising model, the cluster-Ising model where three-body couplings compete with an Ising-like interaction, and the nearest-neighbor XX Hamiltonian in transverse magnetic field. These models embody our canonical examples showing the sensitivity of global quantum discord close to criticality. For the Ising model, we find a universal scaling of global discord with the critical exponents pertaining to the Ising universality class.

Original languageEnglish
Article number043033
Number of pages15
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - 19 Apr 2013

Keywords

  • PHASE-TRANSITION
  • MODEL
  • ENTANGLEMENT
  • SIMULATOR
  • SYSTEMS
  • DISCORD
  • XY

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