Spin-spin correlation functions of the q-VBS state of an integer spin model

TL;DR

This paper analyzes the spin-spin correlation functions of the q-VBS state in an integer spin model, providing detailed calculations of eigenvalues, eigenvectors, and correlation properties for the valence-bond-solid ground state.

Contribution

It introduces a detailed analysis of the eigenstructure and correlation functions of the q-VBS state in a higher-spin AKLT model, extending understanding of its quantum correlations.

Findings

Computed eigenvalues and eigenvectors of the G matrix.

Determined correlation amplitudes and lengths for real q.

Analyzed longitudinal and transverse spin-spin correlations.

Abstract

We consider the valence-bond-solid ground state of the q-deformed higher-spin AKLT model (q-VBS state). We investigate the eigenvalues and eigenvectors of a matrix (G matrix), which is constructed from the matrix product representation of the q-VBS state. We compute the longitudinal and transverse spin-spin correlation functions, and determine the correlation amplitudes and correlation lengths for real q.