Phys. Rev. A 71, 060304(R) (2005) [4 pages]

Finite-size scaling exponents and entanglement in the two-level BCS model

Abstract

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Sébastien Dusuel^1,* and Julien Vidal^2,†
¹Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, 50937 Köln, Germany
²Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France

Received 9 March 2005; published 15 June 2005

We analyze the finite-size properties of the two-level BCS model. Using the continuous unitary transformation technique, we show that nontrivial scaling exponents arise at the quantum critical point for various observables such as the magnetization or the spin-spin correlation functions. We also discuss the entanglement properties of the ground state through the concurrence which appears to be singular at the transition.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.71.060304

DOI:

10.1103/PhysRevA.71.060304

PACS:

03.67.Mn, 75.40.Cx, 05.10.Cc, 73.43.Nq

^*Electronic address: sdusuel@thp.uni-koeln.de

^†Electronic address: vidal@lptmc.jussieu.fr

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Phys. Rev. A 71, 060304(R) (2005) [4 pages]

Finite-size scaling exponents and entanglement in the two-level BCS model