494 research outputs found
Analytical model of the readout power and SQUID hysteresis parameter dependence of the resonator characteristics of microwave SQUID multiplexers
We report on the development of an analytical model describing the readout
power and SQUID hysteresis parameter dependence of the resonator
characteristics used for frequency encoding in microwave SQUID multiplexers.
Within the context of this model, we derived the different dependencies by
analyzing the Fourier components of the non-linear response of the
non-hysteretic rf-SQUID. We show that our model contains the existing model as
a limiting case, leading to identical analytical expressions for small readout
powers. Considering the approximations we made, our model is valid for rf-SQUID
hysteresis parameters which fully covers the
parameter range of existing multiplexer devices. We conclude our work with an
experimental verification of the model. In particular, we demonstrate a very
good agreement between measured multiplexer characteristics and predictions
based on our model.Comment: This article has been submitted to Superconductor Science and
Technolog
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