Topological origin of universal few-body clusters in Efimov physics
Quantum Gases
2016-12-07 v1 Strongly Correlated Electrons
Abstract
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 3- and 4-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.
Keywords
Cite
@article{arxiv.1603.05328,
title = {Topological origin of universal few-body clusters in Efimov physics},
author = {Yusuke Horinouchi and Masahito Ueda},
journal= {arXiv preprint arXiv:1603.05328},
year = {2016}
}