Photonic realization of the -deformed Dirac equation Article uri icon

abstract

  • We show an implementation of a -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 emulate the effects of a flat noncommutative spacetime—i.e., -Minkowski spacetime—in simple experimental setups. ©2021 American Physical Society

publication date

  • 2021-01-01