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Volume Law for the Entanglement Entropy in Non-local QFTs

High Energy Physics - Theory 2014-04-18 v2 Strongly Correlated Electrons Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1311.1643,
  title  = {Volume Law for the Entanglement Entropy in Non-local QFTs},
  author = {Noburo Shiba and Tadashi Takayanagi},
  journal= {arXiv preprint arXiv:1311.1643},
  year   = {2014}
}

Comments

18 pages, 3 figures; v2, added references