Classical analysis of phase-locking transients and Rabi-type oscillations in microwave-driven Josephson junctions
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.
Keywords
Cite
@article{arxiv.cond-mat/0509729,
title = {Classical analysis of phase-locking transients and Rabi-type oscillations in microwave-driven Josephson junctions},
author = {Jeffrey E. Marchese and Matteo Cirillo and Niels Grønbech-Jensen},
journal= {arXiv preprint arXiv:cond-mat/0509729},
year = {2007}
}
Comments
18 pages total, 8 figures (typos corrected; minor revisions to figures and equations)