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arXiv · 1702.04196

Effective non-linear dynamics of binary condensates and open problems

Alessandro Olgiati
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Abstract

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 Sch\"odinger 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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Alessandro Olgiati. 2017-02-14. Effective non-linear dynamics of binary condensates and open problems. https://arxiv.org/abs/1702.04196

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