2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96345We give large deviation upper bounds, and discuss lower bounds, for the Gibbs-KMS state of a system of quantum spins or an interacting Fermi gas on the lattice. We cover general interactions and general observables, both in the high temperature regime and in dimension one.30 pages, LaTeX 2eMathematical PhysicsStatistical Mechanics82B10, 60F10, 82B20text