Formation of fundamental structures in Bose-Einstein Condensates

Details Formation of fundamental structures in Bose-Einstein Condensates Formation of fundamental structures in Bose-Einstein Condensates

1997-11-12

arxiv.org/abs/cond-mat/9711111v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures, requires ioplppt.sty

Scientific paper

10.1088/0953-4075/31/8/001

The meanfield interaction in a Bose condensate provides a nonlinearity which can allow stable structures to exist in the meanfield wavefunction. We discuss a number of examples where condensates, modelled by the one dimensional Gross Pitaevskii equation, can produce gray solitons and we consider in detail the case of two identical condensates colliding in a harmonic trap. Solitons are shown to form from dark interference fringes when the soliton structure, constrained in a defined manner, has lower energy than the interference fringe and an analytic expression is given for this condition.

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