  Electrons which are slowly moving through chiral magnetic textures can
effectively be described as if they where influenced by electromagnetic fields
emerging from the real-space topology. This adiabatic viewpoint has been very
successful in predicting physical properties of chiral magnets. Here, based on
a rigorous quantum-mechanical approach, we unravel the emergence of chiral and
topological orbital magnetism in one- and two-dimensional spin systems. We
uncover that the quantized orbital magnetism in the adiabatic limit can be
understood as a Landau-Peierls response to the emergent magnetic field. Our
central result is that the spin-orbit interaction in interfacial skyrmions and
domain walls can be used to tune the orbital magnetism over orders of magnitude
by merging the real-space topology with the topology in reciprocal space. Our
findings point out the route to experimental engineering of orbital properties
of chiral spin systems, thereby paving the way to the field of chiral
orbitronics.
