Journal of Statistical Physics

, Volume 124, Issue 1, pp 1–13

Propagation of Correlations in Quantum Lattice Systems


DOI: 10.1007/s10955-006-9143-6

Cite this article as:
Nachtergaele, B., Ogata, Y. & Sims, R. J Stat Phys (2006) 124: 1. doi:10.1007/s10955-006-9143-6


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.


Lieb-Robinson boundsquantum spin systemscorrelations

Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  • Bruno Nachtergaele
    • 1
  • Yoshiko Ogata
    • 1
    • 2
  • Robert Sims
    • 1
  1. 1.Department of MathematicsUniversity of California at DavisDavisUSA
  2. 2.Department of Mathematical SciencesUniversity of TokyoTokyoJapan