Spatiotemporal vortex solitons in hexagonal arrays of waveguides

TL;DR

This paper demonstrates the existence of stable spatiotemporal vortex solitons in hexagonal waveguide arrays with cubic nonlinearity, revealing new stable vortex configurations and their collision dynamics, relevant for optics and BEC applications.

Contribution

It introduces three new types of stable semi-discrete vortex complexes in hexagonal waveguide lattices, expanding understanding of vortex solitons in nonlinear media.

Findings

Identified three stable vortex soliton configurations in hexagonal waveguides.

Analyzed collision dynamics of vortex solitons.

Showed potential realizations in optics and Bose-Einstein condensates.

Abstract

By means of a systematic numerical analysis, we demonstrate that hexagonal lattices of parallel linearly-coupled waveguides, with the intrinsic cubic self-focusing nonlinearity, give rise to three species of stable semi-discrete complexes (which are continuous in the longitudinal direction), with embedded vorticity S: triangular modes with S=1, hexagonal ones with S=2, both centered around an empty central core, and compact triangles with S=1, which do not not include the empty site. Collisions between stable triangular vortices are studied too. These waveguiding lattices can be realized in optics and BEC.