Article

Communications in Mathematical Physics

, Volume 265, Issue 1, pp 119-130

First online:

Lieb-Robinson Bounds and the Exponential Clustering Theorem

  • Bruno NachtergaeleAffiliated withDepartment of Mathematics, University of California at Davis Email author 
  • , Robert SimsAffiliated withDepartment of Mathematics, University of California at Davis

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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.