01002nas a2200109 4500008004100000245009900041210007000140520058100210100002900791700002100820856005100841 2016 en d00aNon-linear SchrÃ¶dinger system for the dynamics of a binary condensate: theory and 2D numerics0 aNonlinear SchrÃ¶dinger system for the dynamics of a binary conden3 aWe 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.1 aMichelangeli, Alessandro1 aPitton, Giuseppe uhttp://urania.sissa.it/xmlui/handle/1963/35266