Topological origin of universal few-body clusters in Efimov physics

Topological origin of universal few-body clusters in Efimov physics
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叶菲莫夫物理学中通用少体星团的拓扑起源

DOI:
10.1103/physreva.94.050702
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发表时间:
2016
期刊:
Phys. Rev. A
影响因子:
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通讯作者:
Yusuke Horinouchi and Masahito Ueda
Yusuke Horinouchi and Masahito Ueda
中科院分区:
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文献类型:
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作者:
Takumi Isogai;Eri Akada;Sakiko Nakada;Naoya Yoshida;Ryugo Tero;Shunta Harada;Toru Ujihara;Miho Tagawa;磯貝卓巳;Takumi Isogai;Takumi Isogai;磯貝卓巳;磯貝卓巳;磯貝卓巳;Yusuke Horinouchi and Masahito Ueda

文献摘要

相似文献

Efimov物理学以自相似谱而闻名,其特征在于一个本征能量与其邻居的普适比率。更深奥的是数字揭示的事实,即每个Efimov三聚体都伴随着一对四聚体。在这里,我们证明了这个层次结构的普遍少体集群有一个拓扑起源,通过确定的通用的三体和四体束缚态的理论空间中的重整化群极限环的缠绕数的数量。这一发现表明,拓扑相变的质量不平衡的少体系统,应进行实验测试。
Efimov physics is renowned for the self-similar spectrum featuring the universal ratio of one eigenenergy to its neighbor. Even more esoteric is the numerically unveiled fact that every Efimov trimer is accompanied by a pair of tetramers. Here we demonstrate that this hierarchy of universal few-body clusters has a topological origin by identifying the numbers of universal three- and four-body bound states with the winding numbers of the renormalization-group limit cycle in theory space. The finding suggests a topological phase transition in mass-imbalanced few-body systems which should be tested experimentally.