A superfluid does not rotate like a classical liquid. When you make a container with a superfluid inside slowly rotate, the sides of the container rotate but the superfluid inside remains motionless in a relaxed state, which is its minimum energy fundamental state. A superfluid resists rotation the same way a superconductor resists the penetration of a magnetic field.
Over a certain rotation speed of the container, the superfluid starts to rotate but in a very peculiar way: identical whirlpools start overrunning the container. These whirlpools are the proof that a coherent quantum state exists where all atoms move together in the same way. This situation is identical to that of a type II superconductor, with the existence of whirlwinds called vortices, in the presence of a high magnetic field.
In superfluids, we can also create permanent currents that never stop, as in superconducting coils.
