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Effective Non-linear Dynamics of Binary Condensates and Open Problems

TitleEffective Non-linear Dynamics of Binary Condensates and Open Problems
Publication TypeBook Chapter
Year of Publication2017
AuthorsOlgiati, A
EditorMichelangeli, A, Dell'Antonio, G
Book TitleAdvances in Quantum Mechanics: Contemporary Trends and Open Problems
PublisherSpringer International Publishing
ISBN Number978-3-319-58904-6

We report on a recent result concerning the effective dynamics for a mixture of Bose-Einstein condensates, a class of systems much studied in physics and receiving a large amount of attention in the recent literature in mathematical physics; for such models, the effective dynamics is described by a coupled system of non-linear Schödinger equations. After reviewing and commenting our proof in the mean-field regime from a previous paper, we collect the main details needed to obtain the rigorous derivation of the effective dynamics in the Gross-Pitaevskii scaling limit.


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