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arXiv 2210.08074cond-mat.quant-gas
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各向异性泡阱中的玻色-爱因斯坦凝聚与薄壳极限

Bose-Einstein condensates and the thin-shell limit in anisotropic bubble traps

Elias J. P. Biral, Natália S. Móller, Axel Pelster, F. Ednilson A. dos Santos

AI总结:

本文针对各向异性泡阱薄壳极限中物理参数与流形几何关系不明的问题,推导了实现不坍缩薄壳极限的参数调控条件,得到关联最新实验的有效二维哈密顿量并完成微扰求解。

摘要:

在利用冷原子设计BEC(玻色-爱因斯坦凝聚)的众多不同模型中,泡阱形势能一直备受关注。对于薄壳极限下的各向异性泡阱物理过程,物理参数与所得流形几何之间的关系尚未被完全阐明。本文朝着这一目标展开研究,展示了必须如何调控系统参数才能实现不坍缩的薄壳极限。在该极限下会发生维度紧致化,从而产生与最新泡阱实验相关的有效二维哈密顿量。最后,我们对若干特定情形下的哈密顿量进行了微扰求解,作为本理论的应用示例。

英文摘要:

Within the many different models that appeared with the use of cold atoms to design BECs the bubble trap shaped potential has been of great interest. For the anisotropic bubble trap physics in the thin-shell limit the relationship between the physical parameters and the resulting manifold geometry is yet to be fully understood. In this paper, we work towards this goal showing how the parameters of the system must be manipulated in order to allow for a non-collapsing thin-shell limit. In such a limit, a dimensional compactification takes place thus leading to an effective 2D Hamiltonian which relates to up-to-date bubble trap experiments. At last, our Hamiltonian is pertubatively solved for some particular cases as applications of our theory.

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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