Unifying Paradigms of Quantum Refrigeration: A Universal and Attainable Bound on Cooling

Fabien Clivaz, Ralph Silva, Géraldine Haack, Jonatan Bohr Brask, Nicolas Brunner, and Marcus Huber
Phys. Rev. Lett. 123, 170605 – Published 22 October 2019
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Abstract

Cooling quantum systems is arguably one of the most important thermodynamic tasks connected to modern quantum technologies and an interesting question from a foundational perspective. It is thus of no surprise that many different theoretical cooling schemes have been proposed, differing in the assumed control paradigm and complexity, and operating either in a single cycle or in steady state limits. Working out bounds on quantum cooling has since been a highly context dependent task with multiple answers, with no general result that holds independent of assumptions. In this Letter we derive a universal bound for cooling quantum systems in the limit of infinite cycles (or steady state regimes) that is valid for any control paradigm and machine size. The bound only depends on a single parameter of the refrigerator and is theoretically attainable in all control paradigms. For qubit targets we prove that this bound is achievable in a single cycle and by autonomous machines.

  • Figure
  • Received 1 April 2019
  • Revised 24 September 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.170605

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyStatistical Physics & Thermodynamics

Authors & Affiliations

Fabien Clivaz1,2, Ralph Silva1,3, Géraldine Haack1, Jonatan Bohr Brask1,4, Nicolas Brunner1, and Marcus Huber2

  • 1Department of Applied Physics, University of Geneva, 1211 Geneva 4, Switzerland
  • 2Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, Austria
  • 3Institute for Theoretical Physics, ETH Zürich, 8093 Zürich, Switzerland
  • 4Department of Physics, Technical University of Denmark, Fysikvej, Kongens Lyngby 2800, Denmark

See Also

Unifying paradigms of quantum refrigeration: Fundamental limits of cooling and associated work costs

Fabien Clivaz, Ralph Silva, Géraldine Haack, Jonatan Bohr Brask, Nicolas Brunner, and Marcus Huber
Phys. Rev. E 100, 042130 (2019)

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Issue

Vol. 123, Iss. 17 — 25 October 2019

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