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Dynamics of An Underdamped Josephson Junction Ladder

Seungoh Ryu·Wenbin Yu·D. Stroud
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Abstract

We show analytically that the dynamical equations for an underdamped ladder of coupled small Josephson junctions can be approximately reduced to the discrete sine-Gordon equation. As numerical confirmation, we solve the coupled Josephson equations for such a ladder in a magnetic field. We obtain discrete-sine-Gordon-like IV characteristics, including a flux flow and a ``whirling'' regime at low and high currents, and voltage steps which represent a lock-in between the vortex motion and linear ``phasons'', and which are quantitatively predicted by a simple formula. At sufficiently high anisotropy, the fluxons on the steps propagate ballistically.

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Seungoh Ryu, Wenbin Yu, D. Stroud. 1995-06-29. Dynamics of An Underdamped Josephson Junction Ladder. https://doi.org/10.1103/physreve.53.2190

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