Physics – Condensed Matter – Quantum Gases
Scientific paper
2012-03-03
Physics
Condensed Matter
Quantum Gases
12pages, 5 figures
Scientific paper
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.
Zhang Pei-Pei
Zhang Wanchuan
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