Entanglement of a chiral fermion on the torus
High Energy Physics - Theory
2019-09-13 v2 Statistical Mechanics
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Physics
Abstract
In this paper we present the detailed calculation of a new modular Hamiltonian, namely that of a chiral fermion on a circle at non-zero temperature. We provide explicit results for an arbitrary collection of intervals, which we discuss at length by checking against known results in different limits and by computing the associated modular flow. We also compute the entanglement entropy, and we obtain a simple expression for it which appears to be more manageable than those already existing in the literature.
Keywords
Cite
@article{arxiv.1906.07057,
title = {Entanglement of a chiral fermion on the torus},
author = {David Blanco and Alan Garbarz and Guillem Pérez-Nadal},
journal= {arXiv preprint arXiv:1906.07057},
year = {2019}
}
Comments
29 pages, 11 figures. v2: a few comments and references added. Published version