Effective non-linear dynamics of binary condensates and open problems
Mathematical Physics
2017-09-15 v2 math.MP
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.
Cite
@article{arxiv.1702.04196,
title = {Effective non-linear dynamics of binary condensates and open problems},
author = {Alessandro Olgiati},
journal= {arXiv preprint arXiv:1702.04196},
year = {2017}
}
Comments
Corrected typos, updated references