| Title | Effective Non-linear Dynamics of Binary Condensates and Open Problems |
| Publication Type | Book Chapter |
| Year of Publication | 2017 |
| Authors | Olgiati, A |
| Editor | Michelangeli, A, Dell'Antonio, G |
| Book Title | Advances in Quantum Mechanics: Contemporary Trends and Open Problems |
| Pagination | 239–256 |
| Publisher | Springer International Publishing |
| City | Cham |
| ISBN Number | 978-3-319-58904-6 |
| 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 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. |
| URL | https://doi.org/10.1007/978-3-319-58904-6_14 |
| DOI | 10.1007/978-3-319-58904-6_14 |
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