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Area Law Behaviour of Mutual Information at Finite Temperature

High Energy Physics - Theory 2019-07-11 v1 Quantum Physics

Abstract

Entanglement entropy in free scalar field theory at its ground state is dominated by an area law term. However, when mixed states are considered this property ceases to exist. We show that in such cases the mutual information obeys an "area law". The proportionality constant connecting the area to the mutual information has an interesting dependence on the temperature. At infinite temperature it tends to a finite value which coincides with the classical calculation.

Keywords

Cite

@article{arxiv.1907.04817,
  title  = {Area Law Behaviour of Mutual Information at Finite Temperature},
  author = {Dimitrios Katsinis and Georgios Pastras},
  journal= {arXiv preprint arXiv:1907.04817},
  year   = {2019}
}

Comments

10 pages, 1 figure