BCS Theory for Trapped Ultracold Fermions
Soft Condensed Matter
2009-10-31 v1
Abstract
We develop an extension of the well-known BCS-theory to systems with trapped fermions. The theory fully includes the quantized energy levels in the trap. The key ingredient is to model the attractive interaction between two atoms by a pseudo-potential which leads to a well defined scattering problem and consequently a BCS-theory free of divergences. We present numerical results for the BCS critical temperature and the temperature dependence of the gap. They are used as a test of existing semi-classical approximations.
Cite
@article{arxiv.cond-mat/9810013,
title = {BCS Theory for Trapped Ultracold Fermions},
author = {G. Bruun and Y. Castin and R. Dum and K. Burnett},
journal= {arXiv preprint arXiv:cond-mat/9810013},
year = {2009}
}
Comments
4 pages, 3 figures, submitted to PRL