Communications in Mathematical Physics

, Volume 265, Issue 1, pp 119–130

Lieb-Robinson Bounds and the Exponential Clustering Theorem


DOI: 10.1007/s00220-006-1556-1

Cite this article as:
Nachtergaele, B. & Sims, R. Commun. Math. Phys. (2006) 265: 119. doi:10.1007/s00220-006-1556-1


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.

Copyright information

© B. Nachtergaele and R. Sims 2006

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California at DavisDavisUSA

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