Superfluidity nature of interacting rotating ultracold boson atoms trapped in an optical potential that overlaps with a harmonic potential

This paper explores the superfluidity nature of the rotating ultracold boson atoms trapped in an overlapping optical potential with harmonic potential in three dimensions at finite temperature. The number of vortices, the critical rate of rotation for the formation of vortices, and the superfluid fraction have all been determined. These parameters required to calculate thermal average of the in situ size and the angular momentum expectation values. Calculations of the mentioned parameters are made using the proper semiclassical approximation. For upcoming BEC experiments in these traps, the outcome results provide useful qualitative theoretical insights. Additionally, they give the current experiment by Greiner et al. (2002) a strong theoretical basis.