Loop structure of the lowest Bloch band for a Bose-Einstein condensate
凝聚态物理
2009-11-07 v1
摘要
We investigate analytically and numerically Bloch waves for a Bose--Einstein condensate in a sinusoidal external potential. At low densities the dependence of the energy on the quasimomentum is similar to that for a single particle, but at densities greater than a critical one the lowest band becomes triple-valued near the boundary of the first Brillouin zone and develops the structure characteristic of the swallow-tail catastrophe. We comment on the experimental consequences of this behavior.
引用
@article{arxiv.cond-mat/0111303,
title = {Loop structure of the lowest Bloch band for a Bose-Einstein condensate},
author = {Dmitri Diakonov and L. M. Jensen and C. J. Pethick and H. Smith},
journal= {arXiv preprint arXiv:cond-mat/0111303},
year = {2009}
}
备注
4 pages, 7 figures