University of Oulu

Pietikäinen, I., Danilin, S., Kumar, K.S. et al. J Low Temp Phys (2018) 191: 354.

Multilevel effects in a driven generalized Rabi model

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Author: Pietikäinen, I.1; Danilin, S.2; Kumar, K. S.2;
Organizations: 1Nano and Molecular Systems Research Unit, University of Oulu, P.O. Box 3000, 90014 Oulu, Finland
2Centre for Quantum Engineering and LTQ, Department of Applied Physics, Aalto University, P.O. Box 15100, 00076 Aalto, Finland
3COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 15100, 00076 Aalto, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 0.5 MB)
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Language: English
Published: Springer Nature, 2018
Publish Date: 2019-01-30


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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Series: Journal of low temperature physics
ISSN: 0022-2291
ISSN-E: 1573-7357
ISSN-L: 0022-2291
Volume: 191
Pages: 354 - 364
DOI: 10.1007/s10909-018-1857-8
Type of Publication: A1 Journal article – refereed
Field of Science: 114 Physical sciences
Funding: 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).
Copyright information: © 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: