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Time-Dependent Magnetic Flux in Devices for Circuit Quantum Electrodynamics

Jacob Bryon1,*, D.K. Weiss2,†, Xinyuan You3,‡, Sara Sussman4, Xanthe Croot4, Ziwen Huang2,‡, Jens Koch2,5, and Andrew A. Houck1

  • 1Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08540, USA
  • 2Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA
  • 3Graduate Program in Applied Physics, Northwestern University, Evanston, Illinois 60208, USA
  • 4Department of Physics, Princeton University, Princeton, New Jersey 08540, USA
  • 5Center for Applied Physics and Superconducting Technologies, Northwestern University, Evanston, Illinois 60208, USA

  • *jbryon@princeton.edu
  • †Present address: Yale Quantum Institute, Yale University, New Haven, Connecticut 06511, USA
  • ‡Present address: Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA
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Phys. Rev. Applied 19, 034031 – Published 9 March, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.19.034031

Abstract

Recent theoretical work has highlighted that quantizing a superconducting circuit in the presence of time-dependent flux Φ(t) generally produces Hamiltonian terms proportional to dΦ/dt unless a special allocation of the flux across inductive terms is chosen. Here, we present an experiment probing the effects of a fast flux ramp applied to a heavy-fluxonium circuit. The experiment confirms that naïve omission of the dΦ/dt term leads to theoretical predictions inconsistent with experimental data. Experimental data are fully consistent with recent theory that includes the derivative term or equivalently uses “irrotational variables” that uniquely allocate the flux to properly eliminate the dΦ/dt term.

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Phys. Rev. Applied 19, 034031– Published 9 March, 2023
  • Received 6 September 2022
  • Revised 6 February 2023
  • Accepted 8 February 2023
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