Multilevel effects in a driven generalized Rabi model
Pietikäinen, I.; Danilin, S.; Kumar, K. S.; Tuorila, J.; Paraoanu, G. S. (2018-01-30)
Pietikäinen, I., Danilin, S., Kumar, K.S. et al. J Low Temp Phys (2018) 191: 354. https://doi.org/10.1007/s10909-018-1857-8
© Springer Science+Business Media, LLC, part of Springer Nature 2018. This is a post-peer-review, pre-copyedit version of an article published in Journal of low temperature physics. The final authenticated version is available online at: https://doi.org/10.1007/s10909-018-1857-8.
We study numerically the onset of higher-level excitations and resonance frequency shifts in the generalized multilevel Rabi model with dispersive coupling under strong driving. The response to a weak probe is calculated using the Floquet method, which allows us to calculate the probe spectrum and extract the resonance frequency. We test our predictions using a superconducting circuit consisting of a transmon coupled capacitively to a coplanar waveguide resonator. This system is monitored by a weak probe field and at the same time driven at various powers by a stronger microwave tone. We show that the transition from the quantum to the classical regime is accompanied by a rapid increase of the transmon occupation and consequently that the qubit approximation is valid only in the extreme quantum limit.
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