@Article{Jay_etal2021,
author="Jay, G.
and Arnault, P.
and Debbasch, F.",
title="Dirac quantum walks with conserved angular momentum",
journal="Quantum Studies-Mathematics and Foundations",
year="2021",
publisher="Springer",
volume="8",
pages="419--430",
optkeywords="Quantum walks; Quantum simulation; Lattice field theory",
abstract="A quantum walk (QW) simulating the flat (1+2)D Dirac equation on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a representation of the rotation group SO(3), but rather of its double cover SU(2), the QW can only be defined globally on an extended spacetime where the polar angle extends from 0 to 4 pi. The coupling of the QW with arbitrary electromagnetic fields is also presented. Finally, the cylindrical relativistic Landau levels of the Dirac equation are computed explicitly and simulated by the QW.",
optnote="WOS:000697709700001",
optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4975), last updated on Tue, 28 Sep 2021 08:22:44 +0000",
issn="2196-5609",
doi="10.1007/s40509-021-00253-x",
opturl="https://arxiv.org/abs/2007.06211",
opturl="https://doi.org/10.1007/s40509-021-00253-x",
language="English"
}