title: Full statistics of energy conservation in two-time measurement protocols.
abstract: The first law of thermodynamics states that the average total energy current between different reservoirs vanishes at large times. In this paper we examine this fact at the level of the full statistics of two-time measurement protocols, also known as the Full Counting Statistics. Under very general conditions, we establish a tight form of the first law asserting that the fluctuations of the total energy current computed from the energy variation distribution are exponentially suppressed in the large time limit. We illustrate this general result using two examples: the Anderson impurity model and a two-dimensional spin lattice model.
authors.affiliation: Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec, H3A 2K6, Canada.|CNRS, Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, UPS, F-31062 Toulouse, France.
authors.forename: Tristan
authors.initials: T
authors.lastname: Benoist
authors.affiliation: Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec, H3A 2K6, Canada.
authors.forename: Vojkan
authors.initials: V
authors.lastname: Jakšić
authors.affiliation: Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec, H3A 2K6, Canada.|Aix-Marseille Université, CNRS, CPT, UMR 7332, Case 907, 13288 Marseille, France and Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France.
authors.forename: Annalisa
authors.initials: A
authors.lastname: Panati
authors.affiliation: Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay Cedex, France.
authors.forename: Yan
authors.initials: Y
authors.lastname: Pautrat
authors.affiliation: Aix-Marseille Université, CNRS, CPT, UMR 7332, Case 907, 13288 Marseille, France and Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France.
authors.forename: Claude-Alain
authors.initials: CA
authors.lastname: Pillet