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arXiv 1404.7337cond-mat.quant-gasnucl-th
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粒子数增加的玻色子系统的Efimov谱

Efimov spectrum in bosonic systems with increasing number of particles

A. Kievsky, M. Gattobigio, N. K. Timofeyuk

摘要:

众所周知,当两体散射长度$a$相对于两体相互作用范围较大时,三玻色子系统表现出Efimov效应。这种效应是离散标度不变性(DSI)的表现。在这项工作中,我们研究的$N$体系统的DSI通过分析的$N$全同玻色子的光谱与成对高斯相互作用接近幺正极限。我们考虑了不同的普适比,如$E_N^0/E_3^0$和$E_N^1/E_N^0$,其中$E_N^i$是系统的基态($i=0$)和第一激发态($i=1$)的能量,对于$N\le16$。我们讨论了扩展的Efimov径向定律,推导出的Efimov为$N=3$,一般$N$。

英文摘要:

It is well-known that three-boson systems show the Efimov effect when the two-body scattering length $a$ is large with respect to the range of the two-body interaction. This effect is a manifestation of a discrete scaling invariance (DSI). In this work we study DSI in the $N$-body system by analysing the spectrum of $N$ identical bosons obtained with a pairwise gaussian interaction close to the unitary limit. We consider different universal ratios such as $E_N^0/E_3^0$ and $E_N^1/E_N^0$, with $E_N^i$ being the energy of the ground ($i=0$) and first-excited ($i=1$) state of the system, for $N\le16$. We discuss the extension of the Efimov radial law, derived by Efimov for $N=3$, to general $N$.

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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