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Apparent nonlinear damping triggered by quantum fluctuations

Author

Listed:
  • Mario F. Gely

    (Delft University of Technology
    University of Oxford)

  • Adrián Sanz Mora

    (Delft University of Technology)

  • Shun Yanai

    (Delft University of Technology
    University of Waterloo
    University of Waterloo)

  • Rik Spek

    (Delft University of Technology)

  • Daniel Bothner

    (Delft University of Technology
    University of Tübingen)

  • Gary A. Steele

    (Delft University of Technology)

Abstract

Nonlinear damping, the change in damping rate with the amplitude of oscillations plays an important role in many electrical, mechanical and even biological oscillators. In novel technologies such as carbon nanotubes, graphene membranes or superconducting resonators, the origin of nonlinear damping is sometimes unclear. This presents a problem, as the damping rate is a key figure of merit in the application of these systems to extremely precise sensors or quantum computers. Through measurements of a superconducting resonator, we show that from the interplay of quantum fluctuations and the nonlinearity of a Josephson junction emerges a power-dependence in the resonator response which closely resembles nonlinear damping. The phenomenon can be understood and visualized through the flow of quasi-probability in phase space where it reveals itself as dephasing. Crucially, the effect is not restricted to superconducting circuits: we expect that quantum fluctuations or other sources of noise give rise to apparent nonlinear damping in systems with a similar conservative nonlinearity, such as nano-mechanical oscillators or even macroscopic systems.

Suggested Citation

  • Mario F. Gely & Adrián Sanz Mora & Shun Yanai & Rik Spek & Daniel Bothner & Gary A. Steele, 2023. "Apparent nonlinear damping triggered by quantum fluctuations," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-43128-y
    DOI: 10.1038/s41467-023-43128-y
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    References listed on IDEAS

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    1. Frank Arute & Kunal Arya & Ryan Babbush & Dave Bacon & Joseph C. Bardin & Rami Barends & Rupak Biswas & Sergio Boixo & Fernando G. S. L. Brandao & David A. Buell & Brian Burkett & Yu Chen & Zijun Chen, 2019. "Quantum supremacy using a programmable superconducting processor," Nature, Nature, vol. 574(7779), pages 505-510, October.
    2. A. Eichler & J. Moser & M.I. Dykman & A. Bachtold, 2013. "Symmetry breaking in a mechanical resonator made from a carbon nanotube," Nature Communications, Nature, vol. 4(1), pages 1-7, December.
    3. X. Dong & M. I. Dykman & H. B. Chan, 2018. "Strong negative nonlinear friction from induced two-phonon processes in vibrational systems," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
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