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Formation of fundamental structures in Bose-Einstein Condensates

T. F. Scott·R. J. Ballagh·K. Burnett
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Abstract

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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T. F. Scott, R. J. Ballagh, K. Burnett. 1997-11-12. Formation of fundamental structures in Bose-Einstein Condensates. https://doi.org/10.1088/0953-4075%2F31%2F8%2F001

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