Mean-field quantum dynamics for a mixture of Bose-Einstein condensates
Mathematical Physics
2016-09-13 v2 math.MP
Abstract
We study the effective time evolution of a large quantum system consisting of a mixture of different species of identical bosons in interaction. If the system is initially prepared so as to exhibit condensation in each component, we prove that condensation persists at later times and we show quantitatively that the many-body Schr\"{o}dinger dynamics is effectively described by a system of coupled cubic non-linear Schr\"{o}dinger equations, one for each component.
Cite
@article{arxiv.1603.02435,
title = {Mean-field quantum dynamics for a mixture of Bose-Einstein condensates},
author = {Alessandro Michelangeli and Alessandro Olgiati},
journal= {arXiv preprint arXiv:1603.02435},
year = {2016}
}
Comments
Updated version, published on Anal. Math. Phys. 2016