TY  - JOUR
AU  - Jay, G.
AU  - Arnault, P.
AU  - Debbasch, F.
PY  - 2021
DA  - 2021//
TI  - Dirac quantum walks with conserved angular momentum
T2  - Quantum Stud. Math. Found.
JO  - Quantum Studies-Mathematics and Foundations
SP  - 419
EP  - 430
VL  - 8
PB  - Springer
KW  - Quantum walks
KW  - Quantum simulation
KW  - Lattice field theory
AB  - 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.
SN  - 2196-5609
UR  - https://arxiv.org/abs/2007.06211
UR  - https://doi.org/10.1007/s40509-021-00253-x
DO  - 10.1007/s40509-021-00253-x
LA  - English
N1  - WOS:000697709700001
ID  - Jay_etal2021
ER  -