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Volume Law for the Entanglement Entropy in Non-local QFTs

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arxiv 1311.1643 v2 pith:FDJTIICO submitted 2013-11-07 hep-th cond-mat.str-elquant-ph

Noburo Shiba , Tadashi Takayanagi This is my paper · ORCID
classification hep-thcond-mat.str-elquant-ph
keywords volumeentanglemententropynon-localsmallerwhoseanalyticalbehavior
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In this paper, we present a simple class of non-local field theories whose ground state entanglement entropy follows a volume law as long as the size of subsystem is smaller than a certain scale. We will confirm this volume law both from numerical calculations and from analytical estimation. This behavior fits nicely with holographic results for spacetimes whose curvatures are much smaller than AdS spaces such as those in the flat spacetime.

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Cited by 2 Pith papers

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    Causal diamonds in symmetric spacetimes obey a thermodynamic first law with negative temperature, and the Einstein equations can be recast as an entropy equilibrium condition, with a long-string CFT picture for non-Ad...

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