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Statut |
Confirmé |
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Série |
LPTENS-HE |
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Domaines |
hep-th |
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Date |
Mardi 31 Mai 2022 |
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Heure |
14:30 |
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Institut |
LPENS |
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Salle |
L361 (24 rue Lhomond), also accessible by Zoom |
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Nom de l'orateur |
Pastur |
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Prenom de l'orateur |
Leonid |
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Addresse email de l'orateur |
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Institution de l'orateur |
B.Verkin Institute for Low Temperature Physics and Engineering, Kharkiv |
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Titre |
Large-size Behavior of the Entanglement Entropy of Free Disordered Fermions |
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Résumé |
We consider the macroscopic system of free lattice fermions and we are interested
in the
entanglement entropy (EE) of a large block of size L of the system viewing the
rest of the
system as the macroscopic environment of the block. The entropy is a widely used
quantifier of
quantum correlations between the block and its environment. We begin with the
known results
on the large -L asymptotic of the EE for various translation invariant systems,
where there
exist basically two asymptotics, known as the area law and the enhanced (violated)
area law.
We then show that in the disordered case and for the Fermi energy belonging to the
localized
spectrum of the one-body Hamiltonian the EE follows the area law for all typical
realization
of the disorder and any dimension. As for the enhanced area law, it proves to be
possible for
certain special values of the Fermi energy in the one-dimensional case. |
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Numéro de preprint arXiv |
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Commentaires |
Zoom link: https://us06web.zoom.us/j/86271145836?
pwd=MjhXUWRJRkpZdkRkL08xcTVDVjFHUT09 Meeting ID: 862 7114 5836 Passcode:
565571 |
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Fichiers attachés |
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