On the stability of standing matter waves in a trap
Soft Condensed Matter
2009-10-31 v3
Abstract
We discuss excited Bose-condensed states and find the criterion of dynamical stability of a kink-wise state, i.e., a standing matter wave with one nodal plane perpendicular to the axis of a cylindrical trap. The dynamical stability requires a strong radial confinement corresponding to the radial frequency larger than the mean-field interparticle interaction. We address the question of thermodynamic instability related to the presence of excitations with negative energy.
Keywords
Cite
@article{arxiv.cond-mat/9811408,
title = {On the stability of standing matter waves in a trap},
author = {A. E. Muryshev and H. B. van Linden van den Heuvell and G. V. Shlyapnikov},
journal= {arXiv preprint arXiv:cond-mat/9811408},
year = {2009}
}
Comments
4 pages, 3 figures