Role of excited states in the splitting of a trapped interacting Bose-Einstein condensate by a time-dependent barrier.


An essentially exact approach to compute the wave function in the time-dependent many-boson Schrödinger equation is derived and employed to study accurately the process of splitting a trapped condensate. As the trap transforms from a single to double well the ground state changes from a coherent to a fragmented state. We follow the role played by many-body… (More)