Edge States and Entanglement Entropy
High Energy Physics - Theory
2009-10-28 v2 Condensed Matter
General Relativity and Quantum Cosmology
Abstract
It is known that gauge fields defined on manifolds with spatial boundaries support states localized at the boundaries. In this paper, we demonstrate how coarse-graining over these states can lead to an entanglement entropy. In particular, we show that the entanglement entropy of the ground state for the quantum Hall effect on a disk exhibits an approximate ``area " law.
Cite
@article{arxiv.hep-th/9512047,
title = {Edge States and Entanglement Entropy},
author = {A. P. Balachandran and L. Chandar and Arshad Momen},
journal= {arXiv preprint arXiv:hep-th/9512047},
year = {2009}
}
Comments
16 pages, minor corrections and futher details added