  The scattering of bright quantum solitons at barrier potentials in
one-dimensional geometries is investigated. Such protocols have been predicted
to lead to the creation of nonlocal quantum superpositions. The centre-of-mass
motion of these bright matter-wave solitons generated from attractive
Bose-Einstein condensates can be analysed with the effective potential
approach. An application to the case of two particles being scattered at a
delta potential allows analytical calculations not possible for higher particle
numbers as well as a comparison with numerical results. Both for the dimer and
a soliton with particle numbers on the order of N = 100, we investigate the
signatures of the coherent superposition states in an interferometric setup and
argue that experimentally an interference pattern would be particularly well
observable in the centre-of-mass density. Quantum superposition states of
ultra-cold atoms are interesting as input states for matter-wave interferometry
as they could improve signal-to-noise ratios.
