Confinement-induced Efimov resonances in Fermi-Fermi mixtures

TL;DR

This paper demonstrates that confining 40K atoms in one dimension induces Efimov resonances in a 40K-6Li mixture, revealing a controllable three-body parameter and characteristic recombination rates, opening new avenues for observing Efimov physics in fermions.

Contribution

It shows that confinement induces Efimov resonances in a Fermi-Fermi mixture, with the three-body parameter controlled by confinement length, and derives the recombination rate dependence.

Findings

Efimov effect can be induced by confinement in Fermi-Fermi mixtures.

The three-body recombination rate exhibits a logarithmic-periodic dependence on scattering length.

The effective scaling factor for the Efimov states is approximately 22.0.

Abstract

A Fermi-Fermi mixture of 40K and 6Li does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only 40K in one dimension. Here the Efimov's three-body parameter is controlled by the confinement length. We show that the three-body recombination rate in such a system in the dilute limit has a characteristic logarithmic-periodic dependence on the effective scattering length with the scaling factor 22.0 and can be expressed by formulas similar to those for identical bosons in three dimensions. The ultracold mixture of 40K and 6Li in the 1D-3D mixed dimensions is thus a promising candidate to observe the Efimov physics in fermions.