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Lieb-Robinson Bounds and the Exponential Clustering Theorem

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Abstract

We give a Lieb-Robinson bound for the group velocity of a large class of discrete quantum systems which can be used to prove that a non-vanishing spectral gap implies exponential clustering in the ground state of such systems.

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Authors and Affiliations

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

    Bruno Nachtergaele & Robert Sims

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  1. Bruno Nachtergaele
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  2. Robert Sims
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Correspondence to Bruno Nachtergaele.

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Communicated by H. Spohn

Copyright © 2006 by the authors. This article may be reproduced in its entirety for non-commercial purposes.

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Nachtergaele, B., Sims, R. Lieb-Robinson Bounds and the Exponential Clustering Theorem. Commun. Math. Phys. 265, 119–130 (2006). https://doi.org/10.1007/s00220-006-1556-1

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  • DOI: https://doi.org/10.1007/s00220-006-1556-1

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