Entanglement Hamiltonians for non-critical quantum chains
Abstract
We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the entanglement Hamiltonian describes again free bosons or fermions and is obtained from the correlation functions via high-precision numerics for up to several hundred sites. Far away from criticality, the dominant on-site and nearest-neighbour terms have triangular profiles that can be understood from the analytical results for a half-infinite interval. Near criticality, the longer-range couplings, although small, lead to a more complex picture. A comparison between the exact spectra and entanglement entropies and those resulting from the dominant terms in the Hamiltonian is also reported.
Keywords
Cite
@article{arxiv.2007.01804,
title = {Entanglement Hamiltonians for non-critical quantum chains},
author = {Viktor Eisler and Giuseppe Di Giulio and Erik Tonni and Ingo Peschel},
journal= {arXiv preprint arXiv:2007.01804},
year = {2020}
}
Comments
29 pages, 12 figures, minor changes, references added, v3: published version