Violation of the entanglement area law in bosonic systems with Bose surfaces: possible application to Bose metals

We show the violation of the entanglement area law for bosonic systems with Bose surfaces. For bosonic systems with gapless factorized energy dispersions on an N(d) Cartesian lattice in d dimensions, e.g., the exciton Bose liquid in two dimensions, we explicitly show that a belt subsystem with width...

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Bibliographic Details
Published in:Physical review letters 2013-11, Vol.111 (21), p.210402-210402, Article 210402
Main Authors: Lai, Hsin-Hua, Yang, Kun, Bonesteel, N E
Format: Article
Language:English
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Summary:We show the violation of the entanglement area law for bosonic systems with Bose surfaces. For bosonic systems with gapless factorized energy dispersions on an N(d) Cartesian lattice in d dimensions, e.g., the exciton Bose liquid in two dimensions, we explicitly show that a belt subsystem with width L preserving translational symmetry along d-1 Cartesian axes has leading entanglement entropy (N(d-1)/3)lnL. Using this result, the strong subadditivity inequality, and lattice symmetries, we bound the entanglement entropy of a rectangular subsystem from below and above showing a logarithmic violation of the area law. For subsystems with a single flat boundary, we also bound the entanglement entropy from below showing a logarithmic violation, and argue that the entanglement entropy of subsystems with arbitrary smooth boundaries are similarly bounded.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.111.210402