Free Fermions Violate the Area Law For Entanglement Entropy

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.

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

References in corpus (2)

• Entanglement entropy of fermions in any dimension and the Widom conjecture
• A Special Case Of A Conjecture By Widom With Implications To Fermionic Entanglement Entropy