Phys. Rev. A 69, 054101 (2004) [4 pages]

Entanglement in a first-order quantum phase transition

Abstract

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Julien Vidal^1,*, Rémy Mosseri^1,†, and Jorge Dukelsky^2,‡
¹Groupe de Physique des Solides, CNRS UMR 7588, Campus Boucicaut, 140 rue de Lourmel, 75015 Paris, France
²Instituto de Estructura de la Materia, CSIC, Madrid, Spain

Received 4 December 2003; published 12 May 2004

We analyze the entanglement properties of the ground state for a system of spins half embedded in a magnetic field, mutually interacting antiferromagnetically. Contrary to the ferromagnetic case where a second-order quantum phase transition occurs, a first-order transition is obtained at zero field and the so-called concurrence which measures the two-spin entanglement displays a jump at the transition point.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.69.054101

DOI:

10.1103/PhysRevA.69.054101

PACS:

03.65.Ud, 03.67.Mn, 73.43.Nq

^*Electronic address: vidal@gps.jussieu.fr

^†Electronic address: mosseri@gps.jussieu.fr

^‡Electronic address: dukelsky@iem.cfmac.csic.es

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Phys. Rev. A 69, 054101 (2004) [4 pages]

Entanglement in a first-order quantum phase transition