title: Dissipation in small systems: Landau-Zener approach.
abstract: We establish a stochastic thermodynamics for a Fermionic level driven by a time-dependent force and interacting with initially thermalized levels playing the role of a reservoir. The driving induces consecutive avoided crossings between system and reservoir levels described within Landau-Zener theory. We derive the resulting system dynamics and thermodynamics and identify energy, work, heat, entropy, and dissipation. Our theory perfectly reproduces the numerically exact quantum work statistics obtained using a two point measurements approach of the total energy and provides an explicit expression for the dissipation in terms of diabatic transitions.
authors.affiliation: Departamento de Fisica, Facultad de Ciencias Fisicas y Mathematicas, Universidad de Chile, 837.0415 Santiago, Chile.
authors.forename: Felipe
authors.initials: F
authors.lastname: Barra
authors.affiliation: Complex Systems and Statistical Mechanics, Physics and Materials Science, University of Luxembourg, L-1511 Luxembourg.
authors.forename: Massimiliano
authors.initials: M
authors.lastname: Esposito