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arXiv · 1002.3306

Free Fermions Violate the Area Law For Entanglement Entropy

Robert C. Helling·Wolfgang Spitzer
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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.

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Robert C. Helling, Wolfgang Spitzer. 2010-02-17. Free Fermions Violate the Area Law For Entanglement Entropy. https://doi.org/10.1002/prop.201000029

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