Highly-asymmetric soliton complexes in parabolic optical lattices

TL;DR

This paper explores the formation and stability of asymmetric multipole soliton complexes in parabolic optical lattices, revealing new soliton behaviors and motion patterns induced by the lattice's unique topology.

Contribution

It introduces multipole soliton complexes in parabolic optical lattices and demonstrates their stability and novel motion properties, which were not previously known.

Findings

Asymmetric higher-order soliton states can be stable in parabolic lattices.

Solitons launched with transverse momentum perform periodic parabolic oscillations.

The topology of parabolic lattices enables new soliton dynamics.

Abstract

We introduce multipole soliton complexes in optical lattices induced by nondiffracting parabolic beams. Despite the symmetry-breaking dictated by the curvature of the lattice channels, we find that complex, asymmetric higher-order states can be stable. The unique topology of parabolic lattices affords new types of soliton motion: single solitons launched into the lattice with nonzero transverse momentum perform periodic oscillations along parabolic paths.