Characterizing Feshbach resonances in ultracold scattering calculations
Characterizing Feshbach resonances in ultracold scattering calculations
复制标题
DOI：
10.1103/physreva.96.042705
复制
发表时间：
2017-10-11
影响因子：
2.9
通讯作者：
Hutson, Jeremy M.
中科院分区：
文献类型：
--
作者：
Frye, Matthew D.;Hutson, Jeremy M.
我们描述的程序收敛和表征零能量Feshbach共振，出现在散射长度超冷原子和分子碰撞作为一个外部字段的函数。弹性过程适用于纯弹性散射，其中散射长度是真实的并显示真实极点。当背景非弹性较弱时，正则化散射长度方法是合适的，因此散射长度是复的，并显示振荡而不是极点，但共振散射长度战神接近于真实的。当存在实质性的背景非弹性并且需要战神的真实的和虚部时，全复形过程是适当的。我们展示了这些程序的超冷85 Rb在各种初始状态下的散射。所有这些都可以收敛并提供共振的完整表征，从最初的猜测到数千个宽度，使用仅在大约10个外场值下的散射计算。
We describe procedures for converging on and characterizing zero-energy Feshbach resonances that appear in scattering lengths for ultracold atomic and molecular collisions as a function of an external field. The elastic procedure is appropriate for purely elastic scattering, where the scattering length is real and displays a true pole. The regularized scattering length procedure is appropriate when there is weak background inelasticity, so that the scattering length is complex and displays an oscillation rather than a pole, but the resonant scattering length ares is close to real. The fully complex procedure is appropriate when there is substantial background inelasticity and the real and imaginary parts of ares are required. We demonstrate these procedures for scattering of ultracold 85Rb in various initial states. All of them can converge on and provide full characterization of resonances, from initial guessesmany thousands of widths away, using scattering calculations at only about ten values of the external field.