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Entropy 2016, 18(4), 124; doi:10.3390/e18040124

Quantum Heat Machines Equivalence, Work Extraction beyond Markovianity, and Strong Coupling via Heat Exchangers

Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel
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Academic Editor: Jay Lawrence
Received: 3 March 2016 / Revised: 20 March 2016 / Accepted: 31 March 2016 / Published: 6 April 2016
(This article belongs to the Special Issue Quantum Thermodynamics)
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Abstract

Various engine types are thermodynamically equivalent in the quantum limit of small “engine action”. Our previous derivation of the equivalence is restricted to Markovian heat baths and to implicit classical work repository (e.g., laser light in the semi-classical approximation). In this paper, all the components, baths, batteries, and engines, are explicitly taken into account. To neatly treat non-Markovian dynamics, we use mediating particles that function as a heat exchanger. We find that, on top of the previously observed equivalence, there is a higher degree of equivalence that cannot be achieved in the Markovian regime. Next, we focus on the quality of the battery charging process. A condition for positive energy increase and zero entropy increase (work) is given. Moreover, it is shown that, in the strong coupling regime, it is possible to super-charge a battery. With super-charging, the energy of the battery is increased while its entropy is being reduced at the same time. View Full-Text
Keywords: quantum heat engines; quantum refrigerators; quantum thermodynamics; heat exchanger; engine equivalence; two-stroke; four-stroke; non-Markovian; strong coupling quantum heat engines; quantum refrigerators; quantum thermodynamics; heat exchanger; engine equivalence; two-stroke; four-stroke; non-Markovian; strong coupling
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Uzdin, R.; Levy, A.; Kosloff, R. Quantum Heat Machines Equivalence, Work Extraction beyond Markovianity, and Strong Coupling via Heat Exchangers. Entropy 2016, 18, 124.

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