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

Jeffrey E. Marchese; Matteo Cirillo; Niels Grønbech-Jensen

doi:10.1103/PhysRevB.73.174507

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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

DOI 10.1103/PhysRevB.73.174507 · Physical Review B

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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 nonzero 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.