Bipartite entanglement entropy in fractional quantum Hall states

O. S. Zozulya, M. Haque, K. Schoutens, and E. H. Rezayi
Phys. Rev. B 76, 125310 – Published 18 September 2007

Abstract

We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both Abelian (Laughlin) and non-Abelian (Moore-Read) states. We derive upper bounds for the entanglement between two subsets of the particles making up the state. We also consider the entanglement between spatial regions supporting a FQH state. Using the latter, we show how the so-called topological entanglement entropy γ of a FQH state can be extracted from wave functions for a limited number of particles.

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  • Received 15 June 2007

DOI:https://doi.org/10.1103/PhysRevB.76.125310

©2007 American Physical Society

Authors & Affiliations

O. S. Zozulya1, M. Haque2, K. Schoutens1, and E. H. Rezayi3

  • 1Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, the Netherlands
  • 2Max-Planck Institute for the Physics of Complex Systems, Nöthnitzerstrasse. 38, 01187 Dresden, Germany
  • 3Department of Physics, California State University, Los Angeles, California 90032, USA

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Issue

Vol. 76, Iss. 12 — 15 September 2007

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