Entanglement and Particle Identity: A Unifying Approach

A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz, and A. F. Reyes-Lega
Phys. Rev. Lett. 110, 080503 – Published 22 February 2013

Abstract

It has been known for some years that entanglement entropy obtained from partial trace does not provide the correct entanglement measure when applied to systems of identical particles. Several criteria have been proposed that have the drawback of being different according to whether one is dealing with fermions, bosons, or distinguishable particles. In this Letter, we give a precise and mathematically natural answer to this problem. Our approach is based on the use of the more general idea of the restriction of states to subalgebras. It leads to a novel approach to entanglement, which is suitable to be used in general quantum systems and especially in systems of identical particles. This settles some recent controversy regarding entanglement for identical particles. The prospects for applications of our criteria are wide ranging, from spin chains in condensed matter to entropy of black holes.

  • Received 22 June 2012

DOI:https://doi.org/10.1103/PhysRevLett.110.080503

© 2013 American Physical Society

Authors & Affiliations

A. P. Balachandran1,2,*, T. R. Govindarajan1,3,†, Amilcar R. de Queiroz4,‡, and A. F. Reyes-Lega5,§

  • 1Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
  • 2Physics Department, Syracuse University, Syracuse, New York 13244-1130, USA
  • 3Chennai Mathematical Institute, H1, SIPCOT IT Park, Kelambakkam, Siruseri 603103, India
  • 4Instituto de Fisica, Universidade de Brasilia, Caixa Postal 04455, 70919-970 Brasilia, Distrito Federal, Brazil
  • 5Departamento de Física, Universidad de los Andes, Apartado Aéreo 4976 Bogotá, Distrito Capital, Colombia

  • *bal@phy.syr.edu
  • trg@imsc.res.in
  • amilcarq@unb.br
  • §anreyes@uniandes.edu.co

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Issue

Vol. 110, Iss. 8 — 22 February 2013

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