Resonant-Cavity-Induced Phase Locking and Voltage Steps in a Josephson Array

E. Almaas; D. Stroud

doi:10.1103/physrevb.63.144522

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Resonant-Cavity-Induced Phase Locking and Voltage Steps in a Josephson Array

E. Almaas·D. Stroud

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Abstract

We describe a simple dynamical model for an underdamped Josephson junction array coupled to a resonant cavity. From numerical solutions of the model in one dimension, we find that (i) current-voltage characteristics of the array have self-induced resonant steps (SIRS), (ii) at fixed disorder and coupling strength, the array locks into a coherent, periodic state above a critical number of active Josephson junctions, and (iii) when $N_a$ active junctions are synchronized on an SIRS, the energy emitted into the resonant cavity is quadratic with $N_a$. All three features are in agreement with a recent experiment [Barbara {\it et al}, Phys. Rev. Lett. {\bf 82}, 1963 (1999)]}.

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E. Almaas, D. Stroud. 2000-12-19. Resonant-Cavity-Induced Phase Locking and Voltage Steps in a Josephson Array. https://doi.org/10.1103/physrevb.63.144522

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