Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier

Details Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier

2006-12-24

arxiv.org/abs/cond-mat/0612616v2

Phys. Rev. Lett. 99, 030402 (2007)

Physics

Condensed Matter

Other Condensed Matter

11 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.99.030402

An essentially-exact approach to compute the wavefunction in the time-dependent many-boson Schr\"odinger equation is derived and employed to study accurately the process of splitting a trapped condensate when ramping-up a barrier such that a double-well is formed. We follow the role played by many-body excited states during the splitting process. Among others, a 'counter-intuitive' regime is found in which the evolution of the condensate when the barrier is ramped-up sufficiently slow {\it is not} to the ground-state which is a fragmented condensate, but to a low-lying excited-state which is a coherent condensate. Experimental implications are discussed.

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