Abstract
We examine a dc SQUID phase qubit with an on-chip low-pass resonant LC filter that transforms the line impedance, improving the qubit lifetime. Unusual features in the spectroscopy suggest dynamics more complicated than a simple two-level system. To model this behavior, we consider a lumped-element circuit model of the SQUID that includes the filter as part of the quantum system to be modeled. We show this model reduces to an effective Jaynes-Cummings Hamiltonian, in analogy with circuit QED.
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