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

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dc.contributor.areaMathematicsen_US
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorPitton, Giuseppe
dc.date.accessioned2017-01-16T12:10:22Z
dc.date.available2017-01-16T12:10:22Z
dc.date.issued2016-12
dc.description.abstractWe 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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35266
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.ispartofseriesSISSA;63/2016/MATE
dc.subjectBose-Einstein condensationen_US
dc.subjectmulti-component mixturesen_US
dc.subjectone-body reduced density matrixen_US
dc.subjectscaling limits, non-linear Gross-Pitaevskii systemen_US
dc.subjectFourier collocation methoden_US
dc.subjectintegrating factor methoden_US
dc.titleNon-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numericsen_US
dc.typePreprinten_US
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