Cuetara, Gregory Bulnes and Engel, Andreas and Esposito, Massimiliano (2015) Stochastic thermodynamics of rapidly driven systems. New journal of physics, 17 (055002). ISSN 1367-2630

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Abstract

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.

Item Type:	Article
Subjects:	Science and mathematics > Physics
Divisions:	Faculty of Mathematics and Science > Institute of Physics (IfP)
Date Deposited:	11 Feb 2016 09:09
Last Modified:	11 Feb 2016 09:09
URI:	https://oops.uni-oldenburg.de/id/eprint/2622
URN:	urn:nbn:de:gbv:715-oops-27033
DOI:	10.1088/1367-2630/17/5/055002
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