Power maximization of two-stroke quantum thermal machines

Nicolò Piccione*, Gabriele De Chiara, Bruno Bellomo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
98 Downloads (Pure)


We present a detailed study of quantum thermal machines employing quantum systems as working substances. In particular, we study two different types of two-stroke cycles where two collections of identical quantum systems with evenly spaced energy levels are initially prepared at thermal equilibrium by putting them in contact with a cold and a hot thermal bath, respectively. The two cycles differ in the absence or the presence of a mediator system, while, in both cases, nonresonant exchange Hamiltonians are exploited as particle interactions. We show that the efficiencies of these machines depend only on the energy gaps of the systems composing the collections and are equal to the efficiency of "equivalent"Otto cycles. Focusing on the cases of qubits or harmonic oscillators for both models, we maximize the engine power and analyze, in the model without the mediator, the role of the waiting time between subsequent interactions. It turns out that the case with the mediator can bring performance advantages when the interaction times are comparable with the waiting time of the correspondent cycle without the mediator. We find that in both cycles, the power peaks of qubit systems can surpass the Curzon-Ahlborn efficiency. Finally, we compare our cycle without the mediator with previous schemes of the quantum Otto cycle showing that high coupling is not required to achieve the same maximum power.

Original languageEnglish
Article number032211
JournalPhysical Review A
Issue number3
Publication statusPublished - 12 Mar 2021

Bibliographical note

Publisher Copyright:
© 2021 American Physical Society.

Copyright 2021 Elsevier B.V., All rights reserved.

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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