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Superfluidity and Rotation of a Superfluid Spin-Orbit Coupled Bose-Einstein Condensate
Spin-orbit coupling (SOC) affects in a deep way the superfluid behavior of a Bose-Einstein condensate. In this talk I will present results for the superfluid density in uniform matter, calculated in terms of the transverse current response , the moment of inertia in harmonically trapped BECs  and the free expansion after release of the trap . SOC causes the quenching of the superfluid current affecting in a dramatic way the expansion dynamics and the emergence of diffused vorticity in rotating gases, violating the usual irrotationality constraint associated with superfluidity. I will shown that, with a proper choice of the parameters of the spin-orbit coupling, the BEC system can acquire the classical rigid value of the moment of inertia, even at zero temperature and in the absence of quantized vortices. Results for an atomic gas confined in toroidal configurations will be also presented, where it will be shown that SOC coupling causes the reduction of the quantum of circulation and of the angular momentum carried by persistent currents.