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Large Deviations in Quantum Lattice Systems: One-Phase Region

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Abstract

We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general interactions and general observables, both in the high temperature regime and in dimension one.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Stevens Institute of Technology, Hoboken, NJ, 07030

    Marco Lenci

  2. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003

    Luc Rey-Bellet

Authors
  1. Marco Lenci
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  2. Luc Rey-Bellet
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Correspondence to Marco Lenci.

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Lenci, M., Rey-Bellet, L. Large Deviations in Quantum Lattice Systems: One-Phase Region. J Stat Phys 119, 715–746 (2005). https://doi.org/10.1007/s10955-005-3015-3

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  • DOI: https://doi.org/10.1007/s10955-005-3015-3

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