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arXiv 1301.4473cond-mat.quant-gasnucl-th
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二维共振相互作用费米子的超Efimov效应

Super Efimov effect of resonantly interacting fermions in two dimensions

Yusuke Nishida, Sergej Moroz, Dam Thanh Son

摘要:

我们研究了一个二维的无自旋费米子系统,其中短程相互作用被微调到p波共振。我们证明了三个这样的费米子形成一个无限大的束缚态塔,其轨道角动量l= \pm 1,它们的束缚能在大n时服从普适的双指数标度E_3^{(n)} \propto \exp(-2e ^$> 3 πn/4+θ}).通过重整化群分析发现了这种“超Efimov效应”,并通过求解束缚态问题得到了证实。我们还指出,在E_4^{(n)} \propto \exp(-2e ^$> 3 πn/4+θ-0.188})处的每个三体束缚态都存在l= \pm 2四体共振.这些普适的少体态可以在超冷原子实验中观察到,在今后的多体系统研究中应予以考虑。

英文摘要:

We study a system of spinless fermions in two dimensions with a short-range interaction fine-tuned to a p-wave resonance. We show that three such fermions form an infinite tower of bound states of orbital angular momentum l=\pm1 and their binding energies obey a universal doubly exponential scaling E_3^{(n)}\propto\exp(-2e^{3πn/4+θ}) at large n. This "super Efimov effect" is found by a renormalization group analysis and confirmed by solving the bound state problem. We also provide an indication that there are l=\pm2 four-body resonances associated with every three-body bound state at E_4^{(n)}\propto\exp(-2e^{3πn/4+θ-0.188}). These universal few-body states may be observed in ultracold atom experiments and should be taken into account in future many-body studies of the system.

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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