[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.
Disciplines :
Physics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
Dissipation in small systems: Landau-Zener approach
Publication date :
13 June 2016
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
Volume :
93
Issue :
062118
Peer reviewed :
Peer Reviewed verified by ORBi
Focus Area :
Physics and Materials Science
FnR Project :
FNR1165601 - A New Thermodynamic Theory For Small Fluctuating Systems: From Nanodevices To Cellular Biology, 2011 (01/01/2012-30/06/2017) - Massimiliano Esposito