@article{047b251009374277b9f4e2a40e9ced21,
title = "Time-Dependent Magnetic Flux in Devices for Circuit Quantum Electrodynamics",
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 na{\"i}ve 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.",
author = "Jacob Bryon and Weiss, {D. K.} and Xinyuan You and Sara Sussman and Xanthe Croot and Ziwen Huang and Jens Koch and Houck, {Andrew A.}",
note = "Funding Information: We thank Jeronimo Martinez for helpful discussions of experimental techniques. D.K.W. acknowledges support from the Army Research Office (ARO) through a QuaCGR Fellowship. S.S. is supported by the Department of Defense (DoD) through the National Defense Science & Engineering Graduate Fellowship (NDSEG) Program. Research at Princeton University and Northwestern University was funded by the ARO under Grant No. W911NF-19-10016. Devices were fabricated in the Princeton University Quantum Device Nanofabrication Laboratory (QDNL) and in the Princeton Institute for the Science and Technology of Materials (PRISM) cleanroom. J.B., D.K.W., Z.H., J.K., and A.A.H. conceived of the experiment. D.K.W., X.Y., Z.H., and J.K. developed the theory. J.B. performed design and fabrication of the device. J.B., S.S., and X.C. conducted experiments. A.A.H. advised throughout the experiment. J.B., D.K.W., X.Y., and J.K. wrote the manuscript with input from all authors. Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"}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.",
year = "2023",
month = mar,
doi = "10.1103/PhysRevApplied.19.034031",
language = "English (US)",
volume = "19",
journal = "Physical Review Applied",
issn = "2331-7019",
publisher = "American Physical Society",
number = "3",
}