圆柱对称波导中耦合$\ell$波约束诱导共振
Coupled $\ell$-wave confinement-induced resonances in cylindrically symmetric waveguides
摘要：
本文发展了一种考虑所有分波的谐波约束原子波导散射的半解析方法。结果，由于限制而形成彼此耦合的$\ell$波限制诱导的谐振。相应的共振条件得到解析使用$K$矩阵形式主义。原子散射由跃迁图描述，跃迁图描述了原子在碰撞过程中经历的所有相关过程。我们的分析结果进行了比较，相应的数值数据，并显示出很好的协议。
英文摘要：
A semi-analytical approach to atomic waveguide scattering for harmonic confinement is developed taking into account all partial waves. As a consequence $\ell$-wave confinement-induced resonances are formed being coupled to each other due to the confinement. The corresponding resonance condition is obtained analytically using the $K$-matrix formalism. Atomic scattering is described by transition diagrams which depict all relevant processes the atoms undergo during the collision. Our analytical results are compared to corresponding numerical data and show very good agreement.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
