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Propagation of Correlations in Quantum Lattice Systems

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arxiv math-ph/0603064 v1 pith:CVXKX35G submitted 2006-03-24 math-ph cond-mat.stat-mechmath.MPquant-ph

Propagation of Correlations in Quantum Lattice Systems

classification math-ph cond-mat.stat-mechmath.MPquant-ph
keywords boundcorrelationsdynamicsaccumulateconsequencedecaydemonstrateexistence
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

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