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Non-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numerics

TitleNon-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numerics
Publication TypePreprint
2016
AuthorsMichelangeli, A, Pitton, G
Document NumberSISSA;63/2016/MATE

We present a comprehensive discussion of the mathematical framework
for binary Bose-Einstein condensates and for the rigorous derivation of their effective
dynamics, governed by a system of coupled non-linear Gross-Pitaevskii equations.
We also develop in the 2D case a systematic numerical study of the Gross-Pitaevskii
systems in a wide range of relevant regimes of population ratios and intra-species and
inter-species interactions. Our numerical method is based on a Fourier collocation
scheme in space combined with a fourth order integrating factor scheme in time.

http://urania.sissa.it/xmlui/handle/1963/35266

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