Nonlinear dynamics of coupled axion-Josephson junction systems

PHYSICA D-NONLINEAR PHENOMENA

卷:403

Article

Yan, Jin¹  Beck, Christian¹ 

[1] Queen Mary Univ London, Sch Math Sci, Mile End Rd, London E1 4NS, England

关键词: Nonlinear dynamical systems;    Coupled Josephson junctions;    Axions;    Phase space analysis;   

DOI  :  10.1016/j.physd.2019.132294

来源: Elsevier

【 摘 要 】

We study the classical dynamics of an axion field (the signal) that is coupling into a Josephson junction (the detector) by means of a capacitive coupling of arbitrary size. Depending on the size of the coupling constant and the initial conditions, we find a rich phase space structure of this nonlinear problem. We present general analytic solutions of the equations of motion in the limit of small amplitudes of the angle variables, and discuss both the case of no dissipation and the case of dissipation in the system. The effect of a magnetic field is investigated as well, leading to topological phase transitions in the phase space structure. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free