Fractional angular momentum quantization in Atomtronic circuits

In this talk, I showcase the latest results for bosonic and fermionic matter-wave circuits in the context of Atomtronics. For attractively interacting bosons, the system sees the formation of bound states, which are the quantum analogs of bright solitons found in the mean-field regime. Considering the full many-body regime allows us access to a new phenomenology arising from the strong correlations in the system. Specifically, for a ring geometry pierced by a synthetic gauge field, we find that the angular momentum quantization per particle acquires fractional values depending on the number of particles constituting the bound state [1]. The phenomenon of fractionalization manifests as new plateaus in the angular momentum and presents potentially important applications in the field of metrology and sensing. Analogous phenomenology is found in SU(N)-symmetric fermionic systems in a similar configuration. However, the physical origin of the angular momentum quantization present in these systems depends on the nature of the interactions, be they repulsive or attractive [2-3]. The feature of

fractionalization has promising applications to interferometry using these massive bound states in fermionic and bosonic systems.