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

TL;DR

This paper investigates the entanglement characteristics of a higher-spin AKLT model with quantum group symmetry, providing exact calculations of entanglement entropy corrections and analyzing geometric entanglement behavior.

Contribution

It offers exact finite size correction terms for entanglement entropies and explores the geometric entanglement in a higher-integer-spin AKLT model with quantum group symmetry.

Findings

Geometric entanglement peaks at the isotropic point.

Entanglement measures decrease with increasing anisotropy.

Finite size correction terms are explicitly calculated.

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.