Propagation of Correlations in Quantum Lattice Systems
  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. 
Bruno Nachtergaele, Yoshiko Ogata, Robert Sims