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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2012 Volume 8, 081, 18 pp. (Mi sigma758)

This article is cited in 1 paper

Entanglement properties of a higher-integer-spin AKLT model with quantum group symmetry

Chikashi Aritaa, Kohei Motegib

a Institut de Physique Théorique CEA, F-91191 Gif-sur-Yvette, France
b Okayama Institute for Quantum Physics, Kyoyama 1-9-1, Okayama 700-0015, Japan

Abstract: We study the entanglement properties of a higher-integer-spin Affleck–Kennedy–Lieb–Tasaki model with quantum group symmetry in the periodic boundary condition. We exactly calculate the finite size correction terms of the entanglement entropies from the double scaling limit. We also evaluate the geometric entanglement, which serves as another measure for entanglement. We find the geometric entanglement reaches its maximum at the isotropic point, and decreases with the increase of the anisotropy. This behavior is similar to that of the entanglement entropies.

Keywords: valence-bond-solid state; entanglement; quantum group.

MSC: 17B37; 81V70; 82B23

Received: July 6, 2012; in final form October 23, 2012; Published online October 27, 2012

Language: English

DOI: 10.3842/SIGMA.2012.081



Bibliographic databases:
ArXiv: 1206.3653


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