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arXiv 2102.08671cond-mat.quant-gascond-mat.supr-con
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强边界和陷阱势对超冷费米气体中涌现物理的影响

Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases

J. B. Profe, C. Honerkamp, D. M. Kennes

AI总结:

本研究利用实空间截断单位泛函重整化群,系统研究了边界和陷阱势对二维Hubbard模型超导相的影响,发现实验需更低温度且系统尺寸和陷阱势形状对模拟涌现物质相至关重要。

摘要:

超冷原子气体中的量子模拟领域已经取得了显著成功。原则上,它允许对各种高度相关的晶格模型及其涌现物质相进行精确处理。但迄今为止,理论文献中缺乏对陷阱势效应以及系统有限尺寸的系统性研究,因为对这类非周期、关联费米子晶格模型的数值研究在一维以上是数值上要求很高的。我们使用最近引入的实空间截断单位泛函重整化群来研究这些边界和陷阱效应,重点关注它们对二维Hubbard模型超导相的影响。我们发现,在实验中,不仅需要达到比当前能力更低的温度,而且系统尺寸和陷阱势形状对模拟涌现物质相也起着至关重要的作用。

英文摘要:

The field of quantum simulations in ultra-cold atomic gases has been remarkably successful. In principle it allows for an exact treatment of a variety of highly relevant lattice models and their emergent phases of matter. But so far there is a lack in the theoretical literature concerning the systematic study of the effects of the trap potential as well as the finite size of the systems, as numerical studies of such non periodic, correlated fermionic lattices models are numerically demanding beyond one dimension. We use the recently introduced real-space truncated unity functional renormalization group to study these boundary and trap effects with a focus on their impact on the superconducting phase of the 2D Hubbard model. We find that in the experiments not only lower temperatures need to be reached compared to current capabilities, but also system size and trap potential shape play a crucial role to simulate emergent phases of matter.

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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