Localized mode interactions in 0-pi Josephson junctions

TL;DR

This paper investigates how phase shifts in long Josephson junctions create localized modes, enabling the study of mode interactions, tunneling, and soliton formation through numerical and analytical methods.

Contribution

It introduces a novel analysis of localized mode interactions in phase-shifted Josephson junctions, including double-well potentials and periodic configurations, supported by multi-mode approximations.

Findings

Phase-shift junctions support localized mode tunneling.

Periodic phase-shift configurations generate bright and dark solitons.

Multi-mode approximations confirm numerical results.

Abstract

A long Josephson junction containing regions with a phase shift of pi is considered. By exploiting the defect modes due to the discontinuities present in the system, it is shown that Josephson junctions with phase-shift can be an ideal setting for studying localized mode interactions. A phase-shift configuration acting as a double-well potential is considered and shown to admit mode tunnelings between the wells. When the phase-shift configuration is periodic, it is shown that localized excitations forming bright and dark solitons can be created. Multi-mode approximations are derived confirming the numerical results.