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Propagation of Correlations in Quantum Lattice Systems

2006; Springer Science+Business Media; Volume: 124; Issue: 1 Linguagem: Inglês

10.1007/s10955-006-9143-6

1572-9613

Bruno Nachtergaele, Yoshiko Ogata, Robert Sims,

Markov Chains and Monte Carlo Methods

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.