Photonic realization of the kappa-deformed Dirac equation
High Energy Physics - Lattice
2021-07-28 v1 Optics
Abstract
We show an implementation of a kappa-deformed Dirac equation in tight-binding arrays of photonic waveguides. This is done with a special configuration of couplings extending to second nearest neighbors. Geometric manipulations can control these evanescent couplings. A careful study of wave packet propagation is presented, including the effects of deformation parameters on Zitterbewegung or trembling motion. In this way, we demonstrate how to recreate the effects of a flat noncommutative spacetime -i.e., kappa-Minkowski spacetime -in simple experimental setups. We touch upon elastic realizations in the section of Conclusions.
Keywords
Cite
@article{arxiv.2012.06037,
title = {Photonic realization of the kappa-deformed Dirac equation},
author = {Parisa Majari and Emerson Sadurni and Mohammad Reza Setare and John Alexander Franco-Villafane and Thomas H. Seligman},
journal= {arXiv preprint arXiv:2012.06037},
year = {2021}
}