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Main Authors: Bryon, Jacob, Weiss, D. K., You, Xinyuan, Sussman, Sara, Croot, Xanthe, Huang, Ziwen, Koch, Jens, Houck, Andrew
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2208.03738
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author Bryon, Jacob
Weiss, D. K.
You, Xinyuan
Sussman, Sara
Croot, Xanthe
Huang, Ziwen
Koch, Jens
Houck, Andrew
author_facet Bryon, Jacob
Weiss, D. K.
You, Xinyuan
Sussman, Sara
Croot, Xanthe
Huang, Ziwen
Koch, Jens
Houck, Andrew
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2208_03738
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Experimental verification of the treatment of time-dependent flux in circuit quantization
Bryon, Jacob
Weiss, D. K.
You, Xinyuan
Sussman, Sara
Croot, Xanthe
Huang, Ziwen
Koch, Jens
Houck, Andrew
Quantum Physics
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.
title Experimental verification of the treatment of time-dependent flux in circuit quantization
topic Quantum Physics
url https://arxiv.org/abs/2208.03738