Propagation of correlations in quantum lattice systems

Bruno Nachtergaele, Yoshiko Ogata, Robert J Sims

Research output: Contribution to journalArticle

89 Citations (Scopus)

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

Fingerprint

Lattice System
Quantum Systems
Propagation
Polynomial Decay
propagation
Accumulate
polynomials
Upper bound
decay
Interaction
Demonstrate
interactions

Keywords

  • Correlations
  • Lieb-Robinson bounds
  • Quantum spin systems

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Propagation of correlations in quantum lattice systems. / Nachtergaele, Bruno; Ogata, Yoshiko; Sims, Robert J.

In: Journal of Statistical Physics, Vol. 124, No. 1, 07.2006, p. 1-13.

Research output: Contribution to journalArticle

Nachtergaele, Bruno ; Ogata, Yoshiko ; Sims, Robert J. / Propagation of correlations in quantum lattice systems. In: Journal of Statistical Physics. 2006 ; Vol. 124, No. 1. pp. 1-13.
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