Quantum heat machines equivalence, work extraction beyond markovianity, and strong coupling via heat exchangers

Raam Uzdin*, Amikam Levy, Ronnie Kosloff

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

59 Scopus citations

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.

Original languageAmerican English
Article number124
JournalEntropy
Volume18
Issue number4
DOIs
StatePublished - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2016 by the authors.

Keywords

  • Engine equivalence
  • Four-stroke
  • Heat exchanger
  • Non-Markovian
  • Quantum heat engines
  • Quantum refrigerators
  • Quantum thermodynamics
  • Strong coupling
  • Two-stroke

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