  We investigate the ground state properties of the repulsive interacting
bosons in an one dimensional rotating lattice ring, and reveal that the
superfluid density of the system and the mass current it can carry in the
rotating coordinate are periodic functions of the velocity of the lattice. In
the weakly interacting limit, the vortices are generated at the critical
velocities, and in the strongly interacting limit, the phase twist of the
bosons induced by the rotating lattice manifests the superfluid density and
drive the system to undergo phase transitions between the superfluid and Mott
insulator.
