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We investigate the harmonically trapped interacting Bose gas in a quasi-2Dgeometry using the classical field method. The system exhibits quasi-long-rangeorder and non-classical rotational inertia at temperatures below theBerezinskii-Kosterlitz-Thouless cross-over to the superfluid state. Inparticular, we compute the scissors-mode oscillation frequencies and find thatthe irrotational mode changes its frequency as the temperature is sweepedacross the cross-over thus providing microscopic evidence for the emergence ofsuperfluidity.

Superfluidity of an interacting trapped quasi-2D Bose gas