Ruelle-Lanford functions for quantum spin systems
This is the pre-published version harvested from ArXiv.
We prove a large deviation principle for the expectation of macroscopic observables in quantum (and classical) Gibbs states. Our proof is based on Ruelle-Lanford functions [20, 34] and direct subadditivity arguments, as in the classical case [23,32], instead of relying on G”artner-Ellis theorem, and cluster expansion or transfer operators as done in the quantum case in [21, 13, 27, 22, 16, 28]. In this approach we recover, expand, and unify quantum (and classical) large deviation results for lattice Gibbs states. In the companion paper  we discuss the characterization of rate functions in terms of relative entropies.
Y Ogata and L Rey-Bellet. "Ruelle-Lanford functions for quantum spin systems" 2010
Available at: http://works.bepress.com/luc_rey_bellet/1