Propagation of correlations in quantum lattice systems

Bruno Nachtergaele, Yoshiko Ogata, Robert Sims

Research output: Contribution to journalArticlepeer-review

112 Scopus citations

Abstract

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
Volume124
Issue number1
DOIs
StatePublished - Jul 2006
Externally publishedYes

Keywords

  • Correlations
  • Lieb-Robinson bounds
  • Quantum spin systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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