Four-dimensional photonic lattices and discrete tesseract solitons

TL;DR

This paper explores the theoretical existence of four-dimensional photonic lattices and tesseract solitons within three-dimensional space, proposing designs for experimental realization and analyzing their diffraction and nonlinear properties.

Contribution

It introduces the concept of 4D photonic lattices and predicts the existence of 4D tesseract solitons, advancing understanding of higher-dimensional photonic systems.

Findings

Discrete diffraction in linear regime analyzed

Existence of 4D tesseract solitons predicted

Design proposals for experimental realization

Abstract

We theoretically study discrete photonic lattices in more than three dimensions and point out that such systems can exist in continuous three-dimensional (3D) space. We study discrete diffraction in the linear regime, and predict the existence of four-dimensional (4D) tesseract solitons in nonlinear 4D periodic photonic lattices. Finally, we propose a design towards a potential realization of such periodic 4D lattices in experiments.