@article {2018,
title = {Effective non-linear spinor dynamics in a spin-1 Bose-Einstein condensate},
number = {SISSA;12/2018/MATE},
year = {2018},
abstract = {We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose{\textendash}Einstein condensate and then left free to expand ballistically. In spinor condensates, which represent one of the recent frontiers in the manipulation of ultra-cold atoms, particles interact with a two-body spatial interaction and a spin{\textendash}spin interaction. The effective
dynamics is well-known to be governed by a system of coupled semi-linear Schr{\"o}dinger equations: we recover this system, in the sense of marginals in the limit of infinitely many particles, with a mean-field re-scaling of the manybody Hamiltonian. When the resulting control of the dynamical persistence of condensation is quantified with the parameters of modern observations, we obtain a bound that remains quite accurate for the whole typical duration of the experiment.},
url = {http://preprints.sissa.it/handle/1963/35311},
author = {Alessandro Michelangeli and Alessandro Olgiati}
}