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Large Deviations in Quantum Spin Chains

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Abstract

We show the full large deviation principle for KMS-states and C*-finitely correlated states on a quantum spin chain. We cover general local observables. Our main tool is Ruelle’s transfer operator method.

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Authors and Affiliations

  1. Graduate School of Mathematics, Kyushu University, 1-10-6 Hakozaki, Fukuoka, 812-8581, Japan

    Yoshiko Ogata

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  1. Yoshiko Ogata
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Correspondence to Yoshiko Ogata.

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Communicated by M. Aizenman

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Ogata, Y. Large Deviations in Quantum Spin Chains. Commun. Math. Phys. 296, 35–68 (2010). https://doi.org/10.1007/s00220-010-0986-y

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  • DOI: https://doi.org/10.1007/s00220-010-0986-y

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