Propagation of Correlations in Quantum Lattice Systems

Abstract

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.

10 pages

References in corpus (6)

• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Lieb-Robinson Bounds and the Exponential Clustering Theorem
• General entanglement scaling laws from time evolution
• Locality in Quantum and Markov Dynamics on Lattices and Networks
• Correlations, spectral gap, and entanglement in harmonic quantum systems on generic lattices
• Quantum states on Harmonic lattices

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