Critical properties and R\'enyi entropies of the spin-3/2 XXZ chain

TL;DR

This paper investigates the entanglement and critical behavior of the spin-3/2 XXZ chain across its gapless phase, using advanced numerical methods to analyze entanglement measures and critical parameters.

Contribution

It provides a comprehensive analysis of the spin-3/2 XXZ chain's critical properties and entanglement entropies, extending understanding of excited states in conformal field theory.

Findings

Determined sound velocity and Luttinger parameter as functions of anisotropy.

Analyzed Rènyi entropies for open and periodic boundary conditions.

Provided evidence linking entanglement properties to conformal field theory.

Abstract

We discuss entanglement and critical properties of the spin-3/2 XXZ chain in its entire gapless region. Employing density-matrix renormalization group calculations combined with different methods based on level spectroscopy, correlation functions and entanglement entropies, we determine the sound velocity and the Luttinger parameter of the model as a function of the anisotropy parameter. Then, we focus on entanglement properties by systematically studying the behavior of R\'enyi entropies under both open and periodic boundary conditions, providing further evidence of recent findings about entanglement entropies of excited states in conformal field theory.