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arXiv · 1409.3294

Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics

Yusuke Horinouchi·Masahito Ueda
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Abstract

The Efimov effect is the only experimentally realized universal phenomenon that exhibits the renormalization-group limit cycle with the three-body parameter parametrizing a family of universality classes. Recent experiments in ultracold atoms have unexpectedly revealed that the three-body parameter itself is universal when measured in units of an effective range. By performing an exact functional renormalization-group analysis with various finite-range interaction potentials, we demonstrate that the onset of the renormalization-group flow into the limit cycle is universal, regardless of short-range details, which connects the missing link between the two universalities of the Efimov physics. A close connection between the topological property of the limit cycle and few-body physics is also delineated.

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Yusuke Horinouchi, Masahito Ueda. 2014-09-11. Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics. https://doi.org/10.1103/physrevlett.114.025301

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