Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 8 (2012), 081, 18 pages      arXiv:1206.3653      http://dx.doi.org/10.3842/SIGMA.2012.081

Entanglement Properties of a Higher-Integer-Spin AKLT Model with Quantum Group Symmetry

Chikashi Arita a and Kohei Motegi b
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

Received July 06, 2012, in final form October 23, 2012; Published online October 27, 2012

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.

Key words: valence-bond-solid state; entanglement; quantum group.

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