On the Fluctuations of Macroscopic Observables in Quantum Nonequilibrium Steady States

摘要: The fluctuations of macroscopic observables in quantum systems which are a nonequilibrium steady state studied rigorously the thermodynamic limit. In particular, (NESS) spin system that is composed two infinite reservoirs at different temperatures coupled bounded region considered. Under suitable assumptions on interaction and asymptotics fluctuations, central limit theorem for NESS expectation value empirical average proven by showing analyticity corresponding moment generating function neighbourhood origin using cluster expansion method. Furthermore, large deviation principle class establishing existence differentiability function.