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Propagation of Correlations in Quantum Lattice Systems

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Davis, Davis, CA, 95616, USA

    Bruno Nachtergaele, Yoshiko Ogata & Robert Sims

  2. Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo, 153-8914, Japan

    Yoshiko Ogata

Authors
  1. Bruno Nachtergaele
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  2. Yoshiko Ogata
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  3. Robert Sims
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Correspondence to Bruno Nachtergaele.

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Nachtergaele, B., Ogata, Y. & Sims, R. Propagation of Correlations in Quantum Lattice Systems. J Stat Phys 124, 1–13 (2006). https://doi.org/10.1007/s10955-006-9143-6

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  • DOI: https://doi.org/10.1007/s10955-006-9143-6

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