Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions
其他凝聚态物理
2015-06-24 v1
摘要
We study two-body correlations for identical bosons by use of the hyperspherical adiabatic expansion method. We use the zero-range interaction and derive a transcendental equation determining the key ingredient of the hyperradial potential. The necessary renormalization is for both repulsive and attractive interactions achieved with an effective range expansion of the two-body phase-shifts. Our solutions including correlations provide the properties of Bose-Einstein condensates exemplified by stability conditions as established by mean-field Gross-Pitaevskii calculations. The many-body Efimov states are unavoidable for large scattering lengths.
引用
@article{arxiv.cond-mat/0407065,
title = {Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions},
author = {T. Sogo and O. Sørensen and A. S. Jensen and D. V. Fedorov},
journal= {arXiv preprint arXiv:cond-mat/0407065},
year = {2015}
}