Voltage locking between superconducting weak links via impedance coupling

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Abstract
Frequency locking effects in two interacting Josephson junctions are investigated. The junctions are described in the usual resistively‐shunted‐junction (RSJ) model and coupling between junctions is provided by a resonant circuit. The system can be used to simulate interactions between superconducting weak links in a resonant cavity or via a general impedance shunt. Various types of v‐i curves in the voltage locking region are obtained in this calculation by using a first harmonic approximation in the high‐frequency regime. Stability of order parameter phase oscillations for two identical junctions in the voltage‐locked region is examined. We also show that dissimilar junctions can be synchronized in a resonant cavity using a common series bias current.

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