Large deviations for quantum spin systems

K. Netocný, F.H.J. Redig

Research output: Contribution to journalArticleAcademicpeer-review

26 Citations (Scopus)

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 languageEnglish
Pages (from-to)521-547
JournalJournal of Statistical Physics
Volume117
Issue number3-4
DOIs
Publication statusPublished - 2004

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