Yan Pautrat (Univ. Orsay)

Central limit theorem for locally perturbed Fermi gasses

We present an estimate for the large-time, n-point correlation functions in locally perturbed Fermi gases, in their (equilibrium or) steady state. This estimate was used in recent work with Jaksic and Pillet to prove a quantum central limit theorem and construct the observable algebra for time fluctuations of, e.g., fluxes between locally coupled Fermi reservoirs, initially in equilibrium at different temperatures.