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arXiv 2202.01437cond-mat.quant-gasnucl-th
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二维费米子混合物中的普适四聚体和五聚体

Universal tetramer and pentamer in two-dimensional fermionic mixtures

Ruijin Liu, Cheng Peng, Xiaoling Cui

摘要:

研究了由$N$全同重费米子与轻原子相互作用组成的二维$(N+1)$系统中普适四聚体和五聚体束缚态的产生.我们表明,临界重轻质量比支持($3+1$)四聚体低于三聚体阈值是$3.38$,并支持($4+1$)五聚体低于四聚体阈值是$5.14$。虽然这些基态四聚体和五聚体都具有零总角动量,但由于它们在二聚体-费米子框架中的不同角动量分解,它们在动量空间中表现出非常不同的密度分布和相关性。这些普遍的束缚态可以通过现在在冷原子实验室中实现的一些费米-费米混合物来获得,这也表明了在其相应的多体系统中占主导地位的新颖的少体关联。

英文摘要:

We study the emergence of universal tetramer and pentamer bound states in the two-dimensional $(N+1)$ system, which consists of $N$ identical heavy fermions interacting with a light atom. We show that the critical heavy-light mass ratio to support a ($3+1$) tetramer below the trimer threshold is $3.38$, and to support a ($4+1$) pentamer below the tetramer threshold is $5.14$. While these ground state tetramer and pentamer are both with zero total angular momentum, they exhibit very different density distributions and correlations in momentum space, due to their distinct angular momentum decompositions in the dimer-fermion frame. These universal bound states can be accessible by a number of Fermi-Fermi mixtures now realized in cold atoms laboratories, which also suggest novel few-body correlations dominant in their corresponding many-body systems.

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