English

Free Fermions Violate the Area Law For Entanglement Entropy

High Energy Physics - Theory 2015-05-18 v1

Abstract

We show that the entanglement entropy associated to a region grows faster than the area of its boundary surface. This is done by proving a special case of a conjecture due to Widom that yields a surprisingly simple expression for the leading behaviour of the entanglement entropy.

Keywords

Cite

@article{arxiv.1002.3306,
  title  = {Free Fermions Violate the Area Law For Entanglement Entropy},
  author = {Robert C. Helling and Wolfgang Spitzer},
  journal= {arXiv preprint arXiv:1002.3306},
  year   = {2015}
}

Comments

Proceedings of the 9th Hellenic School on Elementary Particle Physics and Gravity, Corfu 2009. 4 pages