Quantitatively improved finite-size criteria for spectral gaps
Mathematical Physics
2022-07-13 v1 Statistical Mechanics
math.MP
Quantum Physics
Abstract
Finite-size criteria have emerged as an effective tool for deriving spectral gaps in higher-dimensional frustration-free quantum spin systems. We quantitatively improve the existing finite-size criteria by introducing a novel subsystem weighting scheme. The approach applies to Euclidean lattices of any dimension, the honeycomb lattice, and the triangular lattice.
Cite
@article{arxiv.2112.07756,
title = {Quantitatively improved finite-size criteria for spectral gaps},
author = {Marius Lemm and David Xiang},
journal= {arXiv preprint arXiv:2112.07756},
year = {2022}
}
Comments
22 pages; 4 tables; 7 figures