Robustness of Aharonov-Bohm cages in quantum walks

Hugo Perrin, Jean-Noël Fuchs, Rémy Mosseri

It was recently shown that Aharonov-Bohm (AB) cages exist for quantum walks (QW) on certain tilings -- such as the diamond chain or the dice (or ${\mathcal{T}}_3$) lattice -- for a p…