Lattice studies of entanglement entropy in $O(N)$ models at finite densities

TL;DR

This paper explores entanglement entropy in quantum field theories at finite density, using Monte Carlo simulations of $O(N)$ models with the worm algorithm, providing initial results for the 3D $O(4)$ model.

Contribution

It introduces a novel approach to evaluate entanglement entropy in finite density quantum field theories using lattice simulations and the replica trick.

Findings

Initial results for the nonlinear $O(4)$ model in 3D.

Demonstrates the feasibility of using MC simulations for entanglement studies.

Provides a foundation for future research on entanglement in quantum field theories.

Abstract

As a characteristic property of all quantum systems, entanglement participates in many important quantum phenomena. In this proceeding, we employ it in the study of quantum field theories at finite density. We incorporate evaluations of entanglement entropy using the replica trick into MC simulations of $O(N)$ models at finite density with the worm algorithm and present some initial results for the nonlinear $O(4)$ model in 3 dimensions.