Locality Estimates for Quantum Spin Systems
Mathematical Physics
2010-03-23 v1 Statistical Mechanics
math.MP
Quantum Physics
Abstract
We review some recent results that express or rely on the locality properties of the dynamics of quantum spin systems. In particular, we present a slightly sharper version of the recently obtained Lieb-Robinson bound on the group velocity for such systems on a large class of metric graphs. Using this bound we provide expressions of the quasi-locality of the dynamics in various forms, present a proof of the Exponential Clustering Theorem, and discuss a multi-dimensional Lieb-Schultz-Mattis Theorem.
Cite
@article{arxiv.0712.3318,
title = {Locality Estimates for Quantum Spin Systems},
author = {Bruno Nachtergaele and Robert Sims},
journal= {arXiv preprint arXiv:0712.3318},
year = {2010}
}
Comments
Contribution for the proceedings of ICMP XV, Rio de Janeiro, 2006