We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for n-component BECs, are found to be equivalent and are shown to be consistent with the phase diagrams of two- and three-component condensates that are derived from energetic arguments.
@article{arxiv.cond-mat/0603113,
title = {Stability analysis for $n$-component Bose-Einstein condensate},
author = {David C. Roberts and Masahito Ueda},
journal= {arXiv preprint arXiv:cond-mat/0603113},
year = {2009}
}