A contour for the entanglement entropies in harmonic lattices
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.
Keywords
Cite
@article{arxiv.1701.08427,
title = {A contour for the entanglement entropies in harmonic lattices},
author = {Andrea Coser and Cristiano De Nobili and Erik Tonni},
journal= {arXiv preprint arXiv:1701.08427},
year = {2017}
}
Comments
49 pages, 15 figures. v2: minor improvements, a figure added, published version