Scaling of genuine multiparticle entanglement close to a quantum phase transition

Martin Hofmann, Andreas Osterloh, and Otfried Gühne
Phys. Rev. B 89, 134101 – Published 2 April 2014

Abstract

We investigate the scaling and spatial distribution of genuine multiparticle entanglement in three- and four-spin reduced states of the one-dimensional XY model at the quantum phase transition. We observe a logarithmic divergence, show that genuine three- and four-particle entanglement obeys finite-size scaling of the XY model and demonstrate that the genuine three-particle entanglement has a finite spatial range.

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  • Received 1 October 2013
  • Revised 17 March 2014

DOI:https://doi.org/10.1103/PhysRevB.89.134101

©2014 American Physical Society

Authors & Affiliations

Martin Hofmann1, Andreas Osterloh2, and Otfried Gühne1

  • 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany
  • 2Fakultät für Physik, Campus Duisburg, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany

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Issue

Vol. 89, Iss. 13 — 1 April 2014

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