Entanglement in a second-order quantum phase transition

Julien Vidal, Guillaume Palacios, and Rémy Mosseri
Phys. Rev. A 69, 022107 – Published 18 February 2004
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Abstract

We consider a system of mutually interacting spins 1/2 embedded in a transverse magnetic field which undergoes a second-order quantum phase transition. We analyze the entanglement properties and the spin squeezing of the ground state and show that, contrarily to the one-dimensional case, a cusplike singularity appears at the critical point λc in the thermodynamical limit. We also show that there exists a value λ0>~λc above which the ground state is not spin squeezed despite a nonvanishing concurrence.

  • Received 23 May 2003

DOI:https://doi.org/10.1103/PhysRevA.69.022107

©2004 American Physical Society

Authors & Affiliations

Julien Vidal*, Guillaume Palacios, and Rémy Mosseri

  • Groupe de Physique des Solides, CNRS UMR 7588, Universités Paris 6 et Paris 7, 2, place Jussieu, 75251 Paris Cedex 05, France

  • *Electronic address: vidal@gps.jussieu.fr
  • Electronic address: palacios@gps.jussieu.fr
  • Electronic address: mosseri@gps.jussieu.fr

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Issue

Vol. 69, Iss. 2 — February 2004

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