Ultracold atoms carrying orbital angular momentum: Engineering topological phases in lattices

Abstract

Ultracold atoms carrying Orbital Angular Momentum (OAM) loaded in lattices constitute a promising platform for engineering topological systems either at the single particle limit or in the presence of interactions. In this review, we report recent progress on this topic with the focus on bosons with OAM l = 1 in lattices of coplanar ring potentials, which provide an ideal scenario to realise topological non-trivial phases of matter.