Logarithmic Negativity in Lifshitz Harmonic Models
Abstract
Recently generalizations of the harmonic lattice model has been introduced as a discrete approximation of bosonic field theories with Lifshitz symmetry with a generic dynamical exponent z. In such models in (1+1) and (2+1)-dimensions, we study logarithmic negativity in the vacuum state and also finite temperature states. We investigate various features of logarithmic negativity such as the universal term, its z-dependence and also its temperature dependence in various configurations. We present both analytical and numerical evidences for linear z-dependence of logarithmic negativity in almost all range of parameters both in (1+1) and (2+1)-dimensions. We also investigate the validity of area law behavior of logarithmic negativity in these generalized models and find that this behavior is still correct for small enough dynamical exponents.
Keywords
Cite
@article{arxiv.1712.03731,
title = {Logarithmic Negativity in Lifshitz Harmonic Models},
author = {M. Reza Mohammadi Mozaffar and Ali Mollabashi},
journal= {arXiv preprint arXiv:1712.03731},
year = {2018}
}
Comments
25 pages, 13 figures, v2: minor changes, matches published version