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Classical analysis of phase-locking transients and Rabi-type oscillations in microwave-driven Josephson junctions

Jeffrey E. Marchese·Matteo Cirillo·Niels Grønbech-Jensen
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Abstract

We present a classical analysis of the transient response of Josephson junctions perturbed by microwaves and thermal fluctuations. The results include a specific low frequency modulation in phase and amplitude behavior of a junction in its zero-voltage state. This transient modulation frequency is linked directly to an observed variation in the probability for the system to switch to its non-zero voltage state. Complementing previous work on linking classical analysis to the experimental observations of Rabi-oscillations, this expanded perturbation method also provides closed form analytical results for attenuation of the modulations and the Rabi-type oscillation frequency. Results of perturbation analysis are compared directly (and quantitatively) to numerical simulations of the classical model as well as published experimental data, suggesting that transients to phase-locking are closely related to the observed oscillations.

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Jeffrey E. Marchese, Matteo Cirillo, Niels Grønbech-Jensen. 2006-04-13. Classical analysis of phase-locking transients and Rabi-type oscillations in microwave-driven Josephson junctions. https://doi.org/10.1103/physrevb.73.174507

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