1203.0623 (Peng Zhang et al.)

Interatomic collisions in the two-dimensional and quasi-two-dimensional
confinements with Rashba spin-orbital coupling    [PDF]

Peng Zhang, Wei Zhang

We investigate the low-energy scattering and bound states of two spin-1/2 fermionic atoms in the pure two-dimensional (2D) geometry and quasi-2D confinements with Rashba spin-orbital coupling (SOC). We find that the SOC qualitatively changes the behavior of the 2D scattering amplitude in the low-energy limit. For the quasi-2D systems we obtain the analytical expressions for the effective-2D scattering amplitude and the algebraic equations for the energy of the two-atom bound state. With our result one can construct the correct effective 2D Hamiltonian for the ultra-cold gases in the quasi-2D confinements, and control the effective 2D physics in the quasi-2D system via the intensity of the confinement and the atomic three-dimensional scattering length.

View original: http://arxiv.org/abs/1203.0623