低维超冷原子的共振散射
Resonant Scattering of Ultracold Atoms in Low Dimensions
摘要：
在高分波通道中，针对短程各向同性相互作用和共振相互作用，导出了一维和二维原子波导中两原子的低能散射振幅。考虑到在以前的工作中被忽略的有限宽度的共振被证明有重要的影响，在约束诱导共振的属性。对于准一维波导中的自旋极化费米子，它对原子密度施加了很强的约束，以实现费米-唐克斯-吉拉多气体。对于平面波导，在$p$ -和d-波中的2D诱导散射共振的特性被确定为3D散射参数和波导频率的函数。
英文摘要：
Low energy scattering amplitudes for two atoms in one- and two-dimensional atomic wave guides are derived for short range isotropic and resonant interactions in high partial wave channels. Taking into account the finite width of the resonance which was neglected in previous works is shown to have important implications in the properties of the confinement induced resonances. For spin polarized fermions in quasi-1D wave guides it imposes a strong constraint on the atomic density for achieving the Fermi Tonks Girardeau gas. For a planar wave guide, the charateristics of the 2D induced scattering resonances in $p$- and d-wave are determined as a function of the 3D scattering parameters and of the wave guide frequency.
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