Browsing by Author "Pitton, Giuseppe"

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    Non-linear Gross-Pitaevskii dynamics of a 2D binary condensate: a numerical analysis
    (2018-09) Michelangeli, Alessandro; Pitton, Giuseppe; Mathematics
    We present a numerical study of the two-dimensional 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.
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    Non-linear Schrödinger system for the dynamics of a binary condensate: theory and 2D numerics
    (2016-12) Michelangeli, Alessandro; Pitton, Giuseppe; Mathematics
    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.