Modified Bethe-Peierls boundary condition for ultracold atoms with spin-orbit coupling

Date: 2012-11-08
Authors Peng Zhang, Long Zhang, and Youjin Deng
Journal No. Phys. Rev. A 86, 053608 (2012)
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 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.