A contour for the entanglement entropies in harmonic lattices

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Publication:5357459

DOI10.1088/1751-8121/AA7902zbMATH Open1372.81135arXiv1701.08427OpenAlexW3103185142MaRDI QIDQ5357459

Author name not available (Why is that?)

Publication date: 8 September 2017

Published in: (Search for Journal in Brave)

Abstract: We construct a contour function for the entanglement entropies in generic harmonic lattices. In one spatial dimension, numerical analysis are performed by considering harmonic chains with either periodic or Dirichlet boundary conditions. In the massless regime and for some configurations where the subsystem is a single interval, the numerical results for the contour function are compared to the inverse of the local weight function which multiplies the energy-momentum tensor in the corresponding entanglement hamiltonian, found through conformal field theory methods, and a good agreement is observed. A numerical analysis of the contour function for the entanglement entropy is performed also in a massless harmonic chain for a subsystem made by two disjoint intervals.


Full work available at URL: https://arxiv.org/abs/1701.08427



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