TY - RPRT
T1 - Non-linear SchrÃ¶dinger system for the dynamics of a binary condensate: theory and 2D numerics
Y1 - 2016
A1 - Alessandro Michelangeli
A1 - Giuseppe Pitton
AB - 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.
UR - http://urania.sissa.it/xmlui/handle/1963/35266
U1 - 35572
U2 - Mathematics
U4 - 1
ER -