Ruelle-Lanford functions for quantum spin systemsMathematics and Statistics Department Faculty Publication Series
AbstractWe prove a large deviation principle for the expectation of macroscopicobservables in quantum (and classical) Gibbs states. Our proof is basedon 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 casein [21, 13, 27, 22, 16, 28]. In this approach we recover, expand, and unifyquantum (and classical) large deviation results for lattice Gibbs states. Inthe companion paper  we discuss the characterization of rate functionsin terms of relative entropies.
Citation InformationY Ogata and L Rey-Bellet. "Ruelle-Lanford functions for quantum spin systems" (2010)
Available at: http://works.bepress.com/luc_rey_bellet/1/