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Recent theoretical work has highlighted that quantizing a superconductingcircuit in the presence of time-dependent flux $\Phi(t)$ generally producesHamiltonian terms proportional to $d\Phi/dt$ unless a special allocation of theflux across inductive terms is chosen. Here, we present an experiment probingthe effects of a fast flux ramp applied to a heavy-fluxonium circuit. Theexperiment confirms that na\"ive omission of the $d\Phi/dt$ term leads totheoretical predictions inconsistent with experimental data. Experimental dataare fully consistent with recent theory that includes the derivative term orequivalently uses "irrotational variables" that uniquely allocate the flux toproperly eliminate the $d\Phi/dt$ term.

Experimental verification of the treatment of time-dependent flux in circuit quantization