Triviality of Entanglement Entropy in the Galilean Vacuum

Itamar Hason

doi:10.1016/j.physletb.2018.02.064

paper

Triviality of Entanglement Entropy in the Galilean Vacuum

arXiv:1708.08303 · doi:10.1016/j.physletb.2018.02.064

Abstract

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.