Collisions of matter waves with ultracold atoms in a ring trap

Ultracold atoms confined in ring-shaped potentials constitute a neat experimental realization of finite-size one-dimensional many-body systems. Usually, these potentials are modeled by traps, which do not support a continuum of states. We consider here fermionic or bosonic atoms trapped in thin ring potentials supporting a finite number of bound states, and scattering states, and probe their behavior via collisions of matter waves.