title: Fluctuation relation for qubit calorimetry.
abstract: Motivated by proposed thermometry measurement on an open quantum system, we present a simple model of an externally driven qubit interacting with a finite-sized fermion environment acting as a calorimeter. The derived dynamics is governed by a stochastic Schrödinger equation coupled to the temperature change of the calorimeter. We prove a fluctuation relation and deduce from it a notion of entropy production. Finally, we discuss the first and second law associated with the dynamics.
authors.affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland.
authors.forename: Antti
authors.initials: A
authors.lastname: Kupiainen
authors.affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland.
authors.forename: Paolo
authors.initials: P
authors.lastname: Muratore-Ginanneschi
authors.affiliation: School of Science, Aalto University, P.O. Box 13500, 00076 Aalto, Finland.
authors.forename: Jukka
authors.initials: J
authors.lastname: Pekola
authors.affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, 00014 Helsinki, Finland.
authors.forename: Kay
authors.initials: K
authors.lastname: Schwieger