  Coupled coaxially stacked toroidal condensates with persistent currents
suggest an appealing physical platform for the investigation of various
phenomena related to interacting superflows from Josephson effects in the
regime of weak interactions to the quantum Kelvin-Helmholtz instability for
merging rings. We suggest experimentally accessible methods to prepare states
with different topological charges in two coupled coaxial ring-shaped atomic
Bose-Einstein condensates. Our results open up the way to direct observation of
rotational Josephson vortices in atomic Bose-Einstein condensates.
