Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling
Abstract
We show that the Bethe-Peierls (BP) boundary condition should be modified for ultracold atoms with spin-orbit (SO) coupling. Moreover, we derive a general form of the modified BP boundary condition, which is applicable to a system with arbitrary kind of SO coupling. In the modified BP condition, an anisotropic term appears and the inter-atomic scattering length is normally SO-coupling dependent. For the special system in the current experiments, however, it can be proved that the scattering length is SO-coupling independent, and takes the same value as in the case without SO coupling. Our result is helpful for the study of both few-body and many-body physics in SO-coupled ultracold gases.
Keywords
Cite
@article{arxiv.1208.5976,
title = {Modified Bethe-Peierls boundary condition for ultracold atoms with Spin-Orbit coupling},
author = {Peng Zhang and Long Zhang and Youjin Deng},
journal= {arXiv preprint arXiv:1208.5976},
year = {2012}
}
Comments
8 pages, significant improvement is made in the current version