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Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

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Abstract

We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.

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Authors and Affiliations

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

    Bruno Nachtergaele & Hillel Raz

  2. Institute of Mathematics, University of Munich, Theresienstr. 39, D-80333, Munich, Germany

    Benjamin Schlein

  3. Faculty of Mathematics, University of Vienna, Nordbergstr. 15, A-1090, Vienna, Austria

    Robert Sims

Authors
  1. Bruno Nachtergaele
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  2. Hillel Raz
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  3. Benjamin Schlein
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  4. Robert Sims
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Corresponding author

Correspondence to Bruno Nachtergaele.

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Communicated by M. B. Ruskai

Copyright © 2008 by the authors. This article may be reproduced in its entirety for non-commercial purposes.

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Nachtergaele, B., Raz, H., Schlein, B. et al. Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems. Commun. Math. Phys. 286, 1073–1098 (2009). https://doi.org/10.1007/s00220-008-0630-2

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  • DOI: https://doi.org/10.1007/s00220-008-0630-2

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