Dynamical analysis of a weakly coupled nonlinear dielectric waveguide -- surface-plasmon model as a new type of Josephson Junction

TL;DR

This paper introduces a new type of Josephson junction based on a weakly-coupled nonlinear dielectric waveguide and surface-plasmon system, revealing unique dynamical behaviors and self-trapped states.

Contribution

It formulates a novel surface-plasmon-based Josephson junction model and analyzes its unique dynamical features compared to atomic condensate Josephson junctions.

Findings

Demonstrates self-trapped oscillatory states with nonzero fractional populations.

Shows the system exhibits different dynamical features from traditional bosonic Josephson junctions.

Provides phase space analysis of the system's dynamics.

Abstract

We propose that a weakly-coupled nonlinear dielectric waveguide -- surface-plasmon system can be formulated as a new type of Josephson junction. Such a system can be realized along a metal - dielectric interface where the dielectric medium hosts a nonlinear waveguide (e.g. fiber) for soliton propagation. We demonstrate that the system is in close analogy to the bosonic Josephson-Junction (BJJ) of atomic condensates at very low temperatures, yet exhibits different dynamical features. In particular, the inherently dynamic coupling parameter between soliton and surface-plasmon generates self-trapped oscillatory states at nonzero fractional populations with zero and $\pi$ time averaged phase difference. The salient features of the dynamics are presented in the phase space.