@article{203856, author = {Jacob Bryon and D. K. Weiss and Xinyuan You and Sara Sussman and Xanthe Croot and Ziwen Huang and Jens Koch and Andrew Houck}, 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 {\textquotedblleft}irrotational variables{\textquotedblright} that uniquely allocate the flux to properly eliminate the\ dΦ/dt\ term.

}, year = {2023}, journal = {Physical Review Applied}, url = {https://journals.aps.org/prapplied/pdf/10.1103/PhysRevApplied.19.034031}, language = {eng}, }