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Multilevel Effects in a Driven Generalized Rabi Model

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Abstract

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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Acknowledgements

Discussions with D. Golubev and A. Vepsäläinen are gratefully acknowledged. This work was supported by the Academy of Finland (Projects No. 263457 and No. 135135), the Finnish Cultural Foundation, Centre of Quantum Engineering at Aalto University (Projects QMET and QMETRO), and the Centres of Excellence LTQ (Project No. 250280), and COMP (Projects No. 251748 and No. 284621). This work used the cryogenic facilities of the Low Temperature Laboratory at OtaNano/Aalto University.

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Authors and Affiliations

  1. Nano and Molecular Systems Research Unit, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland

    I. Pietikäinen & J. Tuorila

  2. Centre for Quantum Engineering and LTQ, Department of Applied Physics, Aalto University, P.O. Box 15100, 00076, Aalto, Finland

    S. Danilin, K. S. Kumar & G. S. Paraoanu

  3. COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 15100, 00076, Aalto, Finland

    J. Tuorila

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  1. I. Pietikäinen
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Correspondence to I. Pietikäinen.

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Pietikäinen, I., Danilin, S., Kumar, K.S. et al. Multilevel Effects in a Driven Generalized Rabi Model. J Low Temp Phys 191, 354–364 (2018). https://doi.org/10.1007/s10909-018-1857-8

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