caa a22 4500 467891184 CHVBK 20180406152749.0 cr unu---uuuuu 170328e20060701xx s 000 0 eng 10.1007/s10955-006-9143-6 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9143-6 Propagation of Correlations in Quantum Lattice Systems [Elektronische Daten] [Bruno Nachtergaele, Yoshiko Ogata, Robert Sims] 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. Springer Science + Business Media, Inc., 2006 Lieb-Robinson bounds nationallicence quantum spin systems nationallicence correlations nationallicence Nachtergaele Bruno Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA aut Ogata Yoshiko Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA aut Sims Robert Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/1(2006-07-01), 1-13 0022-4715 124:1<1 2006 124 10955 https://doi.org/10.1007/s10955-006-9143-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9143-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nachtergaele Bruno Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA aut NATIONALLICENCE 700 1- Ogata Yoshiko Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA aut NATIONALLICENCE 700 1- Sims Robert Department of Mathematics, University of California at Davis, 95616, Davis, CA, USA aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 124/1(2006-07-01), 1-13 0022-4715 124:1<1 2006 124 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer