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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Universal two-body spectra of ultracold harmonically trapped atoms in two and three dimensions
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Universal two-body spectra of ultracold harmonically trapped atoms in two and three dimensions

机译：二维和三维中超冷谐波俘获原子的通用两体光谱

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摘要

We consider the spectrum of two ultracold harmonically trapped atoms interacting via short-range interactions. The Green function approach is used to unify the two- and three-dimensional cases. We derive criteria for the universality of the spectrum, i.e. its independence of the details of the short-range interaction. The results in three dimensions are exemplified for narrow s-wave Feshbach resonances and we show how effective range corrections can modify the rearrangement of the level structure. However, this requires extremely narrow resonances or very tight traps that are not currently experimentally available. In the two-dimensional case, we discuss the p-wave channel in detail and demonstrate how the non-universality of the spectrum arises within the Green function approach. We then show that the spectrum is not particularly sensitive to the short-distance details in the case when the two-body interaction has a bound state.
机译：我们考虑了通过短程相互作用而相互作用的两个超冷谐波捕获原子的光谱。 Green函数方法用于统一二维和三维情况。我们得出频谱通用性的标准，即它与短程相互作用细节的独立性。对于狭窄的s波Feshbach共振，以三个维度的结果为例，并且我们展示了有效的范围校正如何修改能级结构的重排。但是，这需要极窄的共振或非常紧密的陷阱，而目前尚无法通过实验获得。在二维情况下，我们将详细讨论p波通道，并演示格林函数方法中如何产生频谱的非通用性。然后，我们表明在两体相互作用具有约束状态的情况下，光谱对短距离细节不是特别敏感。

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