Effect of Background Scattering on Efimov Scenario for Overlapping Narrow Feshbach Resonances

IF 1.7 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Few-Body Systems Pub Date : 2024-07-08 DOI:10.1007/s00601-024-01943-z

Fatema Hamodi-Gzal, Lev Khaykovich

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Abstract

Efimov physics in the vicinity of two overlapping narrow Feshbach resonances can be explored within a framework of a three-channel model where a non-interacting open channel is coupled to two closed molecular channels. Here, we determine how it compares to the extended two-channel model, which includes an open channel with finite background scattering and a single molecular channel. We identify the parameter range in which the three-channel model surpasses the extended two-channel model. Furthermore, the three-channel model is extended to include background scattering, and then both models are applied to the experimentally relevant system of bosonic lithium atoms polarized on two different energy levels, with an isolated and two overlapping narrow Feshbach resonances, respectively. We confirm, in agreement with previous studies, that being small, the background scattering length in lithium has a negligible effect on the Efimov features in the case of isolated resonance. However, in the case of overlapping Feshbach resonances, the inclusion of background scattering improves the performance of the theory with respect to the experimentally measured position of the Efimov resonance.

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背景散射对重叠窄费什巴赫共振的埃菲莫夫方案的影响

两个重叠的窄费什巴赫共振附近的埃菲莫夫物理学可以在一个三通道模型的框架内进行探索，在这个模型中，一个非相互作用的开放通道与两个封闭的分子通道耦合。在这里，我们确定了它与扩展的双通道模型的比较，后者包括一个具有有限背景散射的开放通道和一个单分子通道。我们确定了三通道模型超越扩展双通道模型的参数范围。此外，我们还将三通道模型扩展到包括背景散射，然后将这两种模型应用于实验相关的玻色锂原子体系，该体系在两个不同的能级上极化，分别具有一个孤立的和两个重叠的窄费什巴赫共振。我们证实，与之前的研究一致，在孤立共振的情况下，锂的背景散射长度很小，对埃菲莫夫特征的影响可以忽略不计。然而，在费什巴赫共振重叠的情况下，加入背景散射可改善理论在实验测量的埃菲莫夫共振位置方面的性能。

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来源期刊

Few-Body Systems 物理-物理：综合

CiteScore

2.90

自引率

18.80%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures. Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal. The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).