Lieb-Robinson bounds and the exponential clustering theorem

Bruno Nachtergaele, Robert Sims

Research output: Contribution to journalArticlepeer-review

223 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)119-130
Number of pages12
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Jul 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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