A Fermi-Fermi mixture of $^{40}\text{K}$ and $^{6}\text{L}\text{i}$ does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only $^{40}\text{K}$ 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 $^{40}\text{K}$ and $^{6}\text{L}\text{i}$ in the one-dimensional--three-dimensional mixed dimensions is thus a promising candidate to observe the Efimov physics in fermions.A Fermi-Fermi mixture of $^{40}\text{K}$ and $^{6}\text{L}\text{i}$ does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only $^{40}\text{K}$ 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 $^{40}\text{K}$ and $^{6}\text{L}\text{i}$ in the one-dimensional--three-dimensional mixed dimensions is thus a promising candidate to observe the Efimov physics in fermions.

arXiv:0903.3633Physical Review AJun 1, 200939 citations

Ultracold three-body collisions and the role of the Efimov effect

Brett D. Esry, José Paulo D'Incao

Nuclear Physics AJun 1, 20070 citations

Efimov Trimer Formation via Ultracold Four-Body Recombination

Yujun Wang, Brett D. Esry

We discuss the collisional formation of Efimov trimers via ultracold four-body recombination. In particular, we consider the reaction A+A+A+B-->A_{3}+B with A and B ultracold atoms. We obtain expressions for the four-body recombination rate up to an overall constant and show that it reflects the three-body Efimov physics either as a function of collision energy or as a function of the two-body s-wave scattering length between A atoms. In addition, we briefly discuss issues important for experimentally observing this interesting and unexplored process.We discuss the collisional formation of Efimov trimers via ultracold four-body recombination. In particular, we consider the reaction A+A+A+B-->A_{3}+B with A and B ultracold atoms. We obtain expressions for the four-body recombination rate up to an overall constant and show that it reflects the three-body Efimov physics either as a function of collision energy or as a function of the two-body s-wave scattering length between A atoms. In addition, we briefly discuss issues important for experimentally observing this interesting and unexplored process.

arXiv:0809.3779Physical Review LettersMar 30, 200932 citations

New results in ultracold three-body recombination

Brett D. Esry

APSMay 1, 20010 citations

A Fermi-Fermi mixture of

^{40}\text{K}

and

^{6}\text{L}\text{i}

does not exhibit the Efimov effect in a free space, but the Efimov effect can be induced by confining only

^{40}\text{K}

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

^{40}\text{K}

and

^{6}\text{L}\text{i}

in the one-dimensional--three-dimensional mixed dimensions is thus a promising candidate to observe the Efimov physics in fermions.