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arXiv · 2012.06037

Photonic realization of the kappa-deformed Dirac equation

Parisa Majari·Emerson Sadurni·Mohammad Reza Setare·John Alexander Franco-Villafane·Thomas H. Seligman
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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.

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Parisa Majari, Emerson Sadurni, Mohammad Reza Setare, John Alexander Franco-Villafane, Thomas H. Seligman. 2020-12-05. Photonic realization of the kappa-deformed Dirac equation. https://doi.org/10.1103/physreva.104.013522

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