Propagation of correlations in quantum lattice systems

Bruno Nachtergaele, Yoshiko Ogata, Robert Sims

Research output: Contribution to journalArticlepeer-review

139 Scopus citations


We provide a simple proof of the Lieb-Robinson bound and use it to prove the existence of the dynamics for interactions with polynomial decay. We then use our results to demonstrate that there is an upper bound on the rate at which correlations between observables with separated support can accumulate as a consequence of the dynamics.

Original languageEnglish (US)
Pages (from-to)1-13
Number of pages13
JournalJournal of Statistical Physics
Issue number1
StatePublished - Jul 2006


  • Correlations
  • Lieb-Robinson bounds
  • Quantum spin systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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