Multidimensional Soliton Systems: an Update

TL;DR

This paper provides an update on recent experimental and theoretical advances in multidimensional soliton research, highlighting new phenomena in nonlinear optics and Bose-Einstein condensates, including quantum droplets and stable 3D vortex solitons.

Contribution

It offers a concise summary of the latest experimental findings and theoretical predictions in multidimensional soliton systems, extending previous reviews.

Findings

Creation of multiple quantum droplets in prolate BEC

Observation of expanding toroidal light structures in linear optics

Prediction of stable 3D vortex solitons with long-range interactions

Abstract

A briefly formulated update of the recently published review [1] on the topic of multidimensional solitons (chiefly, in nonlinear optics and atomic Bose-Einstein condensates (BECs)) is presented. The update briefly summarizes some notable results on this topic that have been reported very recently, and offers a compact outline of the directions of the current experiment and theoretical work in this and related fields. In particular, as concerns newest experimental findings, included are the creation of multiple quantum droplets in prolate BEC, and the observation of expanding toroidal light structures in linear optics. The update of theoretical results includes the analysis of 2D solitons in the optical system with the quadratic nonlinearity and fractional diffraction, and the prediction of stable 3D vortex solitons in various BEC schemes with long-range interactions.