### Abstract

We consider high temperature KMS states for quantum spin systems on a lattice. We prove a large deviation principle for the distribution of empirical averages , where the X i 's are copies of a self-adjoint element X (level one large deviations). From the analyticity of the generating function, we obtain the central limit theorem. We generalize to a level two large deviation principle for the distribution of

Original language | English |
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Pages (from-to) | 521-547 |

Journal | Journal of Statistical Physics |

Volume | 117 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - 2004 |

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## Cite this

Netocný, K., & Redig, F. H. J. (2004). Large deviations for quantum spin systems.

*Journal of Statistical Physics*,*117*(3-4), 521-547. https://doi.org/10.1007/s10955-004-3452-4