Resonances and multistability in a Josephson junction connected to a resonator

TL;DR

This paper investigates the complex dynamics of a Josephson junction coupled with a resonator, revealing multistability and resonant behaviors that are relevant for understanding experimental phenomena and nonlinear system interactions.

Contribution

The study provides analytical and numerical insights into multistability and resonance patterns in Josephson junction-resonator systems, highlighting their nonlinear dynamics and experimental relevance.

Findings

Multistability in current-voltage characteristics.

Resonance patterns linked to frequency interactions.

Analytical results align with numerical simulations.

Abstract

We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this multistability is related to resonances between the generated frequency and the resonator. The resonant pattern requires detailed consideration, in particular, because its basic features may resemble those of patterns reported in experiments with arrays of Josephson junctions demonstrating coherent stimulated emission. From the viewpoint of nonlinear dynamics, the resonances between a Josephson junction and a resonator are of interest because of specificity of the former; its oscillation frequency is directly governed by control parameters of the system and can vary in a wide range. Our analytical results are in good agreement with the results of numerical simulations.