Dissipation in small systems: Landau-Zener approach
English
Barra, Felipe[Universidad de Chile > Departamento de Fisica, Facultad de Ciencias Fisicas y Mathematicas]
Esposito, Massimiliano[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
[en] 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.
FnR ; FNR1165601 > Massimiliano Esposito > NewThermo > A New Thermodynamic Theory for Small Fluctuating Systems: From Nanodevices to Cellular Biology > 01/01/2012 > 31/12/2016 > 2011