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Ground state entanglement constrains low-energy excitations

Authors
  • Kim, Isaac H.
  • Brown, Benjamin J.
Type
Published Article
Publication Date
Sep 23, 2015
Submission Date
Oct 27, 2014
Identifiers
DOI: 10.1103/PhysRevB.92.115139
Source
arXiv
License
Yellow
External links

Abstract

For a general quantum many-body system, we show that its ground-state entanglement imposes a fundamental constraint on the low-energy excitations. For two-dimensional systems, our result implies that any system that supports anyons must have a nonvanishing topological entanglement entropy. We demonstrate the generality of this argument by applying it to three-dimensional quantum many-body systems, and showing that there is a pair of ground state topological invariants that are associated to their physical boundaries. From the pair, one can determine whether the given boundary can or cannot absorb point-like or line-like excitations.

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