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arXiv 2312.04080quant-phcond-mat.quant-gas
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一维与三维中三体共振寿命的质量比依赖关系

Mass Ratio Dependence of Three-Body Resonance Lifetimes in 1D and 3D

Lucas Happ, Pascal Naidon, Emiko Hiyama

AI总结:

本研究结合高斯展开法与复标度法从第一性原理计算双组分三体共振宽度,发现超冷原子质量比范围内共振宽度随质量比呈降中带振的规律,部分质量比下宽度为零,且一维与三维的定性规律一致。

摘要:

我们对双组分三体系统的共振寿命开展了理论研究,具体考察了三体共振衰变为深束缚二聚体与未束缚粒子的过程。结合高斯展开法与复标度法,我们从第一性原理出发得到了这些共振的宽度。我们聚焦于超冷原子混合物典型范围内的质量比,揭示出共振宽度随质量比变化的有趣规律:随着质量比增大,宽度在整体下降的趋势上叠加了振荡行为。特别地,对于部分质量比,共振宽度会降至零,意味着该共振实际上变得稳定。值得注意的是,在铯-锂(Caesium-Lithium)混合物对应的质量比附近,我们得到的共振宽度几乎为零,这验证了可在束缚态近似下处理这些共振。此外,我们分别在一维和三维中开展了共振宽度分析,发现二者对质量比的依赖关系在定性上相似。

英文摘要:

We present a theoretical study of resonance lifetimes in a two-component three-body system, specifically examining the decay of three-body resonances into a deep dimer and an unbound particle. Utilising the Gaussian expansion method together with the complex scaling method, we obtain the widths of these resonances from first principles. We focus on mass ratios in the typical range for mixtures of ultracold atoms and reveal an intriguing dependence of the resonance widths on the mass ratio: as the mass ratio increases, the widths exhibit oscillations on top of an overall decreasing trend. In particular, for some mass ratios the resonance width vanishes, implying that the resonance becomes in fact stable. Notably, near the mass ratio for Caesium-Lithium mixtures, we obtain nearly vanishing widths of the resonances which validates to treat them in the bound-state approximation. In addition, we perform our analysis of the resonance widths in both one and three dimensions and find a qualitatively similar dependence on the mass ratio.

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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