Quantum chaos in Feshbach resonances of the ErYb system

Quantum chaos in Feshbach resonances of the ErYb system
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ErYb 系统费什巴赫共振中的量子混沌

DOI:
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发表时间:
2019
影响因子:
3.3
通讯作者:
P. Żuchowski
P. Żuchowski
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Kosicki;M. Borkowski;P. Żuchowski

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我们调查超冷磁场辅助碰撞在迄今为止未开发的ErYb系统。Er原子的非球性导致弱各向异性相互作用,这为Feshbach共振的出现提供了机制。共振态的密度为0.1-0.3 G−1,分布较为稀疏,并呈现出混沌统计特征,其布罗迪参数η = 0.5-0.7。Feshbach共振的混沌行为伴随着近阈值束缚态中磁量子数和转动量子数的强烈混合。我们预测在< 300 G的磁场下存在宽共振,这可能有助于精确控制ErYb分子的散射特性和磁缔合。大量的玻色子Er-Yb同位素组合为相互作用的质量缩放提供了许多机会。独特的是,两种同位素组合具有几乎相同的约化质量(相对差异小于10−5),我们预计它们具有惊人相似的Feshbach共振谱,这使得有可能通过实验测量它们对质子-电子质量比假设变化的敏感性。
We investigate ultracold magnetic-field-assisted collisions in the so far unexplored ErYb system. The nonsphericity of the Er atom leads to weakly anisotropic interactions that provide the mechanism for Feshbach resonances to emerge. The resonances are moderately sparsely distributed with a density of 0.1–0.3 G−1 and exhibit chaotic statistics characterized by a Brody parameter η ≈ 0.5–0.7. The chaotic behaviour of Feshbach resonances is accompanied by strong mixing of magnetic and rotational quantum numbers in near-threshold bound states. We predict the existence of broad resonances at fields < 300 G that may be useful for the precise control of scattering properties and magnetoassociation of ErYb molecules. The high number of bosonic Er–Yb isotopic combinations gives many opportunities for mass scaling of interactions. Uniquely, two isotopic combinations have nearly identical reduced masses (differing by less than 10−5 relative) that we expect to have strikingly similar Feshbach resonance spectra, which would make it possible to experimentally measure their sensitivity to hypothetical variations of proton-to-electron mass ratio.
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