2012/08/31 by Peng Zhang, Long Zhang, Youjin Deng
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Strong Light-Matter Interactions #cond-mat.quant-gas #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.86.053608
published as Phys. Rev. A 86, 053608 (2012) · 8 pages, significant improvement is made in the current version
arxiv created 2012/09/12 · openalex publication_date 2012/11/08 · arxiv updated 2012/12/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 an arbitrary kind of SO coupling. In the modified BP condition, an anisotropic term appears and the interatomic 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 it 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.