A contour for the entanglement entropies in harmonic lattices. (5th July 2017)

• Record Type: Journal Article
• Authors: Coser, Andrea; De Nobili, Cristiano; Tonni, Erik
• Is Part Of: Journal of physics. Volume 50:Number 31(2017)
• Publication Date: 2017-07-05
• Subjects: quantum entanglement -- conformal field theory -- harmonic lattices; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa7902
• Languages: English
• ISSNs: 1751-8113

Abstract

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.