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Topological power pumping in quantum circuits

J. Luneau1,*, C. Dutreix2, Q. Ficheux3, P. Delplace1, B. Douçot4, B. Huard1, and D. Carpentier1

  • 1Univ Lyon, ENS de Lyon, CNRS, Laboratoire de Physique, F-69342 Lyon, France
  • 2Univ. Bordeaux, CNRS, LOMA, UMR 5798, F-33405 Talence, France
  • 3Department of Physics, ETH Zürich, CH-8093 Zürich, Switzerland
  • 4Laboratoire de Physique Théorique et Hautes Energies, Sorbonne Université and CNRS UMR 7589, 4 place Jussieu, 75252 Paris Cedex 05, France

  • *jacquelin.luneau@ens-lyon.fr
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Phys. Rev. Research 4, 013169 – Published 2 March, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.013169

Abstract

In this article, we develop a description of topological pumps as slow classical dynamical variables coupled by a quantum system. We discuss the cases of quantum Hall pumps, Thouless pumps, and the more recent Floquet pumps based frequency converters. This last case corresponds to a quantum topological coupling between classical modes described by action-angle variables on which we focus. We propose a realization of such a topological coupler based on a superconducting qutrit suitably driven by three modulated drives. A detailed experimental protocol allowing to measure the quantized topological power transfer between the different modes of a superconducting circuit is discussed.

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Phys. Rev. Research 4, 013169– Published 2 March, 2022
  • Received 4 November 2021
  • Accepted 28 January 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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