Entanglement and R\'enyi entropies of (1+1)-dimensional O(3) nonlinear sigma model with tensor renormalization group

TL;DR

This paper uses tensor renormalization group methods to study entanglement and R'enyi entropies in a (1+1)-dimensional O(3) nonlinear sigma model, revealing insights into its critical properties.

Contribution

It applies tensor renormalization group techniques to analyze entanglement measures in the O(3) nonlinear sigma model, providing new insights into its quantum critical behavior.

Findings

Determined the central charge from entropy scaling.

Confirmed consistency between entanglement and R'enyi entropies.

Provided numerical results for entanglement properties in the model.

Abstract

We investigate the entanglement and R\'enyi entropies for the (1+1)-dimensional O(3) nonlinear sigma model using the tensor renormalization group method. The central charge is determined from the asymptotic scaling properties of both entropies. We also examine the consistency between the entanglement entropy and the $n$th-order R\'enyi entropy with $n\rightarrow 1$.