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arXiv · 1203.0623

Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling

Peng Zhang·Long Zhang·Wei Zhang
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Abstract

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.

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Peng Zhang, Long Zhang, Wei Zhang. 2012-10-28. Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit coupling. https://doi.org/10.1103/physreva.86.042707

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