Article (Scientific journals)
Stochastic thermodynamics of rapidly driven quantum systems,
Bulnes Cuetara, Gregory; Engels, Andreas; Esposito, Massimiliano
2015In New Journal of Physics, 17, p. 055002
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Keywords :
Thermodynamic functions and equations of state; Stochastic analysis; Fluctuation phenomena, random processes, noise, and Brownian motion; Decoherence; open systems; quantum statistical methods
Abstract :
[en] We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the Floquet basis. Transition rates are shown to satisfy the local detailed balance involving the entropy flowing out of the reservoirs. The first and second law of thermodynamics are also identified at the trajectory level. Mechanical work is identified by means of initial and final projections on energy eigenstates of the system. We explicitly show that this two step measurement becomes unnecessary in the long time limit. A steady-state fluctuation theorem for the currents and rate of mechanical work is also established. This relation does not require the introduction of a time reversed external driving which is usually needed when considering systems subjected to time asymmetric external fields. This is understood as a consequence of the secular approximation applied in consistency with the large time scale separation between the fast driving oscillations and the slower relaxation dynamics induced by the environment. Our results are finally illustrated on a model describing a thermodynamic engine.
Research center :
Complex Systems and Statistical Mechanics
Disciplines :
Physics
Author, co-author :
Bulnes Cuetara, Gregory ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Engels, Andreas
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 :
Stochastic thermodynamics of rapidly driven quantum systems,
Publication date :
May 2015
Journal title :
New Journal of Physics
ISSN :
1367-2630
Publisher :
Institute of Physics, Bristol, United Kingdom
Volume :
17
Pages :
055002
Peer reviewed :
Peer Reviewed verified by ORBi
FnR Project :
FNR7982468 - Stochastic Thermodynamics Of Open Quantum Systems, 2014 (01/10/2014-30/09/2016) - Gregory Bulnes Cuetara
Name of the research project :
project FNR/A11/02
Funders :
National Research Fund, Luxembourg
Available on ORBilu :
since 03 September 2015

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