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Circuit quantum electrodynamics of granular aluminum resonators

Author

Listed:
  • N. Maleeva

    (Karlsruhe Institute of Technology)

  • L. Grünhaupt

    (Karlsruhe Institute of Technology)

  • T. Klein

    (Universite Grenoble Alpes, Institut NEEL
    Institut NEEL)

  • F. Levy-Bertrand

    (Universite Grenoble Alpes, Institut NEEL
    Institut NEEL)

  • O. Dupre

    (Universite Grenoble Alpes, Institut NEEL
    Institut NEEL)

  • M. Calvo

    (Universite Grenoble Alpes, Institut NEEL
    Institut NEEL)

  • F. Valenti

    (Karlsruhe Institute of Technology)

  • P. Winkel

    (Karlsruhe Institute of Technology)

  • F. Friedrich

    (Karlsruhe Institute of Technology)

  • W. Wernsdorfer

    (Karlsruhe Institute of Technology
    Institut NEEL
    Karlsruhe Institute of Technology)

  • A. V. Ustinov

    (Karlsruhe Institute of Technology
    National University of Science and Technology MISIS)

  • H. Rotzinger

    (Karlsruhe Institute of Technology)

  • A. Monfardini

    (Universite Grenoble Alpes, Institut NEEL
    Institut NEEL)

  • M. V. Fistul

    (National University of Science and Technology MISIS
    Institute for Basic Science)

  • I. M. Pop

    (Karlsruhe Institute of Technology
    Karlsruhe Institute of Technology)

Abstract

Granular aluminum (grAl) is a promising high kinetic inductance material for detectors, amplifiers, and qubits. Here we model the grAl structure, consisting of pure aluminum grains separated by thin aluminum oxide barriers, as a network of Josephson junctions, and we calculate the dispersion relation and nonlinearity (self-Kerr and cross-Kerr coefficients). To experimentally study the electrodynamics of grAl thin films, we measure microwave resonators with open-boundary conditions and test the theoretical predictions in two limits. For low frequencies, we use standard microwave reflection measurements in a low-loss environment. The measured low-frequency modes are in agreement with our dispersion relation model, and we observe self-Kerr coefficients within an order of magnitude from our calculation starting from the grAl microstructure. Using a high-frequency setup, we measure the plasma frequency of the film around 70 GHz, in agreement with the analytical prediction.

Suggested Citation

  • N. Maleeva & L. Grünhaupt & T. Klein & F. Levy-Bertrand & O. Dupre & M. Calvo & F. Valenti & P. Winkel & F. Friedrich & W. Wernsdorfer & A. V. Ustinov & H. Rotzinger & A. Monfardini & M. V. Fistul & I, 2018. "Circuit quantum electrodynamics of granular aluminum resonators," Nature Communications, Nature, vol. 9(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:9:y:2018:i:1:d:10.1038_s41467-018-06386-9
    DOI: 10.1038/s41467-018-06386-9
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    Cited by:

    1. Fabian Kaap & Christoph Kissling & Victor Gaydamachenko & Lukas Grünhaupt & Sergey Lotkhov, 2024. "Demonstration of dual Shapiro steps in small Josephson junctions," Nature Communications, Nature, vol. 15(1), pages 1-6, December.

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