%0 Journal Article
%T Dirac quantum walks with conserved angular momentum
%A Jay, G.
%A Arnault, P.
%A Debbasch, F.
%J Quantum Studies-Mathematics and Foundations
%D 2021
%V 8
%I Springer
%@ 2196-5609
%G English
%F Jay_etal2021
%O WOS:000697709700001
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4975), last updated on Tue, 28 Sep 2021 08:22:44 +0000
%X 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.
%K Quantum walks
%K Quantum simulation
%K Lattice field theory
%R 10.1007/s40509-021-00253-x
%U https://arxiv.org/abs/2007.06211
%U https://doi.org/10.1007/s40509-021-00253-x
%P 419-430