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Phys. Rev. A 71, 060305 (2005) [4 pages]

Global entanglement and quantum criticality in spin chains

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Tzu-Chieh Wei, Dyutiman Das, Swagatam Mukhopadyay, Smitha Vishveshwara, and Paul M. Goldbart
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA

Rapid Communication Received 26 May 2004; published 17 June 2005

The entanglement of quantum XY spin chains of arbitrary length is investigated via a recently developed global measure suitable for generic quantum many-body systems. This entanglement is determined over the phase diagram and found to exhibit rich structure. In particular, the field derivative of the entanglement density becomes singular along the critical line. The form of this singularity is dictated by the universality class controlling the quantum phase transition.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.71.060305
DOI: 10.1103/PhysRevA.71.060305
PACS: 03.67.Mn, 03.65.Ud, 73.43.Nq, 05.70.Jk

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