A quasi-hermitian pseudo potential for higher partial-wave scattering

The dynamics of ultracold atoms in traps is an ideal platform for studies of quantum condensed matter, topological field theories, and quantum information processing. At the heart of these many-body systems are two-body interactions mediated by the molecular potentials of the respective dimer. Simultaneous treatment of the short-range molecular potential and long-range trapping potential is facilitated through the use of a pseudopotential, as seen in recent studies where s-wave scattering dominates. We extend this to higher-order partical waves, importatnt for identical fermions and situations beyond the Wigner-threshold law. This pseudopotential is quasi-Hermintian, leading to a complete biorthonormal set of eigenfunctions. We apply this model to study trap-induced resonances occurring for colliding atoms in separated traps.