Nonlinear compact localized modes in flux-dressed octagonal-diamond photonic lattice

TL;DR

This paper investigates how artificial flux tuning in a 2D octagonal-diamond lattice influences topological phase transitions and the stability of nonlinear compact localized modes, with potential realizations in photonic systems.

Contribution

It introduces a study of nonlinear compact localized modes in flux-dressed lattices and demonstrates how their stability can be controlled via nonlinearity and artificial flux.

Findings

Artificial flux induces topological phase transitions.

Nonlinear modes' stability depends on flux and nonlinearity.

Model applicable to ring resonator and waveguide array experiments.

Abstract

Tuning the values of artificial flux in the two-dimensional octagonal-diamond lattice drives topological phase transitions, including between singular and non-singular flatbands. We study the dynamical properties of nonlinear compact localized modes that can be continued from linear flatband modes. We show how the stability of the compact localized modes can be tuned by the nonlinearity strength or the applied artificial flux. Our model can be realized using ring resonator lattices or nonlinear waveguide arrays.