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arXiv 1402.6685cond-mat.quant-gas
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能量依赖的$\ell$ -波约束诱导共振

Energy dependent $\ell$-wave confinement-induced resonances

B. Hess, P. Giannakeas, P. Schmelcher

摘要:

本文研究了玻色子和费米子在谐波约束下两体碰撞的普适性。本研究的主要重点是约束诱导共振(CIR),这是由于不同的角动量状态$\ell$,我们明确表明,在碱性碰撞只有四个普遍的$\ell$波CIR出现。超越单模区域,研究了$\ell$波循环谐振环的能量依赖性。特别是,我们表明,所有的$\ell$波CIR可能会出现,即使潜在的两体势不能支持任何束缚态。我们观察到,复杂的依赖于能量产生共振功能的碰撞系统内的限制潜力经历一个有效的自由空间散射。我们的分析是在广义$K$ -矩阵理论的框架内进行的,相关的分析计算与相应的从头算数值散射模拟非常吻合。

英文摘要:

The universal aspects of two-body collisions in the presence of a harmonic confinement are investigated for both bosons and fermions. The main focus of this study are the confinement-induced resonances (CIR) which are attributed to different angular momentum states $\ell$ and we explicitly show that in alkaline collisions only four universal $\ell$-wave CIRs emerge. Going beyond the single mode regime the energy dependence of $\ell$-wave CIRs is studied. In particular we show that all the $\ell$-wave CIRs may emerge even when the underlying two-body potential cannot support any bound state. We observe that the intricate dependence on the energy yields resonant features where the colliding system within the confining potential experiences an effective free-space scattering. Our analysis is done within the framework of the generalized $K$-matrix theory and the relevant analytical calculations are in very good agreement with the corresponding ab initio numerical scattering simulations.

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。

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