Lieb-Robinson Bounds and the Exponential Clustering Theorem
Mathematical Physics
2007-05-23 v3 Statistical Mechanics
math.MP
Abstract
We give a Lieb-Robinson bound for the group velocity of a large class of discrete quantum systems which can be used to prove that a non-vanishing spectral gap implies exponential clustering in the ground state of such systems.
Cite
@article{arxiv.math-ph/0506030,
title = {Lieb-Robinson Bounds and the Exponential Clustering Theorem},
author = {Bruno Nachtergaele and Robert Sims},
journal= {arXiv preprint arXiv:math-ph/0506030},
year = {2007}
}
Comments
v2: corrected proof of Theorem 2. v3: slightly better bound in Theorem 2; updated proof