Quantum pump for countercirculation in a spinor Bose-Einstein condensate

We propose a pump scheme for quantum circulations, including countercirculations for superposition states, of a spinor Bose-Einstein condensate. Our scheme is efficient and can be implemented within current experimental technologies and setups. It remains valid for nonclassical atomic states, such as pseudo-spin-squeezed states and maximally entangled N-particle Greenberger-Horne-Zeilinger (|N,0>+|0,N>) states. Moreover, it is capable of transforming several enhanced sensing protocols relying on reduced fluctuations from quantum correlation and entanglement of atomic internal states to enhanced measurement of spatial interference and rotation.