Triviality of entanglement entropy in the Galilean vacuum

We study the entanglement entropy of the vacuum in non-relativistic local theories with Galilean or Schrödinger symmetry. We clear some confusion in the literature on the free Schrödinger case. We find that with only positive U(1) charge particles (states) and a unique zero U(1) charge state (the va...

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Main Author: Itamar Hason
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931830176X
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author Itamar Hason
author_facet Itamar Hason
author_sort Itamar Hason
collection DOAJ
description We study the entanglement entropy of the vacuum in non-relativistic local theories with Galilean or Schrödinger symmetry. We clear some confusion in the literature on the free Schrödinger case. We find that with only positive U(1) charge particles (states) and a unique zero U(1) charge state (the vacuum) the entanglement entropy must vanish in that state.
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spelling doaj.art-b0f0c05975a34ae78400542f4678f0962022-12-22T02:08:45ZengElsevierPhysics Letters B0370-26932018-05-01780149151Triviality of entanglement entropy in the Galilean vacuumItamar Hason0Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, IsraelWe study the entanglement entropy of the vacuum in non-relativistic local theories with Galilean or Schrödinger symmetry. We clear some confusion in the literature on the free Schrödinger case. We find that with only positive U(1) charge particles (states) and a unique zero U(1) charge state (the vacuum) the entanglement entropy must vanish in that state.http://www.sciencedirect.com/science/article/pii/S037026931830176X
spellingShingle Itamar Hason
Triviality of entanglement entropy in the Galilean vacuum
Physics Letters B
title Triviality of entanglement entropy in the Galilean vacuum
title_full Triviality of entanglement entropy in the Galilean vacuum
title_fullStr Triviality of entanglement entropy in the Galilean vacuum
title_full_unstemmed Triviality of entanglement entropy in the Galilean vacuum
title_short Triviality of entanglement entropy in the Galilean vacuum
title_sort triviality of entanglement entropy in the galilean vacuum
url http://www.sciencedirect.com/science/article/pii/S037026931830176X
work_keys_str_mv AT itamarhason trivialityofentanglemententropyinthegalileanvacuum