Macroscopic quantum control of exact many-body coherent states

We demonstrate that the idea of quantum control can be generalized to construct the exact many-body coherent state (MBCS) in a trapped Bose-Einstein condensate (BEC) of N atoms. Such a MBCS possesses the form of the single-particle coherent state, which does not deform in propagation and is stable for a repulsive BEC. The results suggest an experimental scheme for resonantly generating and coherently controlling the MBCSs.