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arXiv · 2107.07971

Theory of high-power excitation spectra of rf-SQUID

Olesia Dmytruk·R. H. Rodriguez·Ç. Ö. Girit·Marco Schiró
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Abstract

We discuss the theory of linear and non-linear spectroscopy of an rf-SQUID coupled to a Josephson spectrometer. Recent experimental measurements on this system have shown a strongly non-linear absorption lineshape, whose current peak maximum undergoes a forward-backward bending transition depending on the value of the rf-SQUID phase. We show that this transition can be qualitatively understood by mapping the dynamics of the driven rf-SQUID onto a generalized Duffing oscillator, with tunable drive and non-linearity, undergoing a bifurcation. Finally we show that in order to quantitatively reproduce the experimental data reported in arXiv:2106.02632, it is crucial to include the feedback from the load-line, leading to an additional source of non-linearity.

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Olesia Dmytruk, R. H. Rodriguez, Ç. Ö. Girit, Marco Schiró. 2021-07-16. Theory of high-power excitation spectra of rf-SQUID. https://doi.org/10.1103/physrevb.104.214508

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