Propagation of Correlations in Quantum Lattice Systems

Details Propagation of Correlations in Quantum Lattice Systems Propagation of Correlations in Quantum Lattice Systems

2006-03-24

arxiv.org/abs/math-ph/0603064v1

J. Stat. Phys. 124 (2006) 1-13

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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