%0 Journal Article
%T Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling
%A Peng Zhang
%A Long Zhang
%A Wei Zhang
%J Physics
%D 2012
%I arXiv
%R 10.1103/PhysRevA.86.042707
%X We investigate the low-energy scattering and bound states of two two-component fermionic atoms in pure two-dimensional (2D) and quasi-2D confinements with Rashba spin-orbit coupling (SOC). We find that the SOC qualitatively changes the behavior of the 2D scattering amplitude in the low-energy limit. For quasi-2D systems we obtain the analytic expression for the effective-2D scattering amplitude and the algebraic equations for the two-atom bound state energy. Based on these results, we further derive the effective 2D interaction potential between two ultracold atoms in the quasi-2D confinement with Rashba SOC. These results are crucial for the control of the 2D effective physics in quasi-2D geometry via the confinement intensity and the atomic three-dimensional scattering length.
%U http://arxiv.org/abs/1203.0623v3