Anti-phase locking in a two-dimensional Josephson junction array

TL;DR

This paper theoretically investigates phase locking in a two-dimensional Josephson junction array, revealing that stable oscillations involve anti-phase behavior, which may explain low radiation outputs observed experimentally.

Contribution

It introduces a theoretical model showing anti-phase locking in a 2D Josephson junction array influenced by external flux, explaining experimental low radiation outputs.

Findings

Stable oscillation regime with anti-phase locking (phase shift of π).

External flux significantly influences phase locking behavior.

Provides a potential explanation for low radiation in experiments.

Abstract

We consider theoretically phase locking in a simple two-dimensional Josephson junction array consisting of two loops coupled via a joint line transverse to the bias current. Ring inductances are supposed to be small, and special emphasis is taken on the influence of external flux. Is is shown, that in the stable oscillation regime both cells oscillate with a phase shift equal to $\pi$ (i.e. anti-phase). This result may explain the low radiation output obtained so far in two-dimensional Josephson junction arrays experimentally.