Free Fermions Violate the Area Law For Entanglement Entropy

Details Free Fermions Violate the Area Law For Entanglement Entropy Free Fermions Violate the Area Law For Entanglement Entropy

2010-02-17

arxiv.org/abs/1002.3306v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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