, Volume 265, Issue 1, pp 119-130
Date: 22 Mar 2006

Lieb-Robinson Bounds and the Exponential Clustering Theorem

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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.

Communicated by H. Spohn
Copyright © 2006 by the authors. This article may be reproduced in its entirety for non-commercial purposes.