High Q Cavity Induced Fluxon Bunching in Inductively Coupled Josephson Junctions
S{\o}ren Madsen, Niels Gr{\o}nbech-Jensen, Niels Falsig Pedersen, and Peter L. Christiansen

TL;DR
This paper investigates how a resonant cavity can induce fluxon bunching in inductively coupled Josephson junctions, leading to a transition from separated fluxons to a synchronized high-energy fluxon mode.
Contribution
It presents a theoretical and numerical analysis of cavity-induced fluxon bunching in coupled Josephson junctions, revealing a transition to a synchronized fluxon state.
Findings
Cavity can induce fluxon bunching and synchronization.
Transition from separated to high-energy fluxon modes.
Potential control of fluxon dynamics via cavity coupling.
Abstract
We consider fluxon dynamics in a stack of inductively coupled long Josephson junctions connected capacitively to a common resonant cavity at one of the boundaries. We study, through theoretical and numerical analysis, the possibility for the cavity to induce a transition from the energetically favored state of spatially separated shuttling fluxons in the different junctions to a high velocity, high energy state of identical fluxon modes.
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