Investigation of nonlinear effects in Josephson parametric oscillators used in circuit quantum electrodynamics
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Krantz-2013-Investigation of non.pdf
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Author(s) • • • • • • • •
Krantz, Philip
Reshitnyk, Yarema
Wustmann, Waltraut
Bylander, Jonas
Gustavsson, Simon
Duty, Timothy
Shumeiko, Vitaly
Delsing, Per
Oliver, William D.
Date Issued
October 2013
Journal
New Journal of Physics
Publisher
IOP Publishing
Citation
Krantz, Philip, Yarema Reshitnyk, Waltraut Wustmann, Jonas Bylander, Simon Gustavsson, William D Oliver, Timothy Duty, Vitaly Shumeiko, and Per Delsing. “Investigation of nonlinear effects in Josephson parametric oscillators used in circuit quantum electrodynamics.” New Journal of Physics 15, no. 10 (October 1, 2013): 105002.
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Final published version
Abstract
We experimentally study the behavior of a parametrically pumped nonlinear oscillator, which is based on a superconducting λ/4 resonator, and is terminated by a flux-tunable superconducting quantum interference device. We extract parameters for two devices. In particular, we study the effect of the nonlinearities in the system and compare to theory. The Duffing nonlinearity, α, is determined from the probe-power dependent frequency shift of the oscillator, and the nonlinearity, β, related to the parametric flux pumping, is determined from the pump amplitude for the onset of parametric oscillations. Both nonlinearities depend on the parameters of the device and can be tuned in situ by the applied dc flux. We also suggest how to cancel the effect of β by adding a small dc flux and a pump tone at twice the pump frequency.
MIT Department
Lincoln Laboratory
Massachusetts Institute of Technology. Research Laboratory of Electronics
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DOI of Published Version
https://doi.org/10.1088/1367-2630/15/10/105002