Entanglement of a chiral scalar on the torus
High Energy Physics - Theory
2024-12-30 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We compute the entanglement entropy of an interval for a chiral scalar on a circle at an arbitrary temperature. We use the resolvent method, which involves expressing the entropy in terms of the resolvent of a certain operator, and we compute that resolvent by solving a problem that entails finding an analytic function on the complex torus with certain jump conditions at the interval. The resolvent is relevant by itself, since it can be used to compute any function of the reduced density matrix. We illustrate that by also computing all the R\'enyi entropies for the model.
Cite
@article{arxiv.2412.19332,
title = {Entanglement of a chiral scalar on the torus},
author = {Nicolás Abate and David Blanco and Alan Garbarz and Mateo Koifman and Guillem Pérez-Nadal},
journal= {arXiv preprint arXiv:2412.19332},
year = {2024}
}
Comments
19 pages, 3 figures