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Phys. Rev. A 72, 032327 (2005) [6 pages]

Entangling power of permutation-invariant quantum states

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Vladislav Popkov*
Institut für Theoretische Physik, Universität zu Köln, Zülpicher Strasse 77, 50937 Köln, Germany

Mario Salerno†
Dipartimento di Fisica “E.R. Caianiello,” and Istituto Nazionale di Fisica Nucleare (INFN) Sezione di Napoli-Gruppo Collegato di Salerno, Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Universitá di Salerno, I-84081 Baronissi (SA), Italy

Gunter Schütz‡
Institut für Festkörperforschung, Forschungszentrum Jülich, 52425 Jülich, Germany

Received 18 April 2005; published 22 September 2005

We investigate the von Neumann entanglement entropy as function of the size of a subsystem for permutation invariant ground states in models with finite number of states per site, e.g., in quantum spin models. We demonstrate that the entanglement entropy of n sites in a system of length L generically grows as σ log2[2πen(L−n)∕L]+C, where σ is the on-site spin and C is a function depending only on magnetization.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.032327
DOI:
10.1103/PhysRevA.72.032327
PACS:
03.67.Hk, 03.65.Ud, 75.10.Jm

*Email address: popkov@thp.uni-koeln.de

†E-mail: salerno@sa.infn.it

‡E-mail: g.schuetz@fz-juelich.de

 
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