  Photoionization from energetically distinct electronic states may have a
relative time delay of tens of attoseconds. Here we demonstrate that pulses of
optical vortices allow measuring such attoseconds delays from magnetic
sublevels, even from a spherically symmetric target. The difference in the time
delay is substantial and exhibits a strong angular dependence. Furthermore, we
find an atomic scale variation in the time delays depending on the target
orbital position in the laser spot. The findings offer thus a qualitatively new
way for a spatio-temporal sensing of the magnetic states from which the
photoelectrons originate, with a spatial resolution way below the diffraction
limit of the vortex beam. Our conclusions follow from analytical considerations
based on symmetry, complemented and confirmed with full numerical simulations
of the quantum dynamics.
