For atoms with large scattering length, the dependence of the three-body recombination rate on the collision energy is determined by the scattering length and the Efimov three-body parameters and can be expressed in terms of universal functions of a single scaling variable. We use published results on the three-body recombination rate for $^{4}\mathrm{He}$ atoms to constrain the universal functions. We then use those universal functions to calculate the three-body recombination rate for other atoms with large scattering length at nonzero temperature. The constraints from the $^{4}\mathrm{He}$ results are strong if the scattering length is near the minimum of the three-body recombination rate at threshold. We apply our results to $^{133}\mathrm{Cs}$ atoms with a large positive scattering length, and compare them with experimental results from the Innsbruck group.For atoms with large scattering length, the dependence of the three-body recombination rate on the collision energy is determined by the scattering length and the Efimov three-body parameters and can be expressed in terms of universal functions of a single scaling variable. We use published results on the three-body recombination rate for $^{4}\mathrm{He}$ atoms to constrain the universal functions. We then use those universal functions to calculate the three-body recombination rate for other atoms with large scattering length at nonzero temperature. The constraints from the $^{4}\mathrm{He}$ results are strong if the scattering length is near the minimum of the three-body recombination rate at threshold. We apply our results to $^{133}\mathrm{Cs}$ atoms with a large positive scattering length, and compare them with experimental results from the Innsbruck group.

arXiv:cond-mat/0612601Physical Review AMay 22, 200716 citations

Three-Body Recombination of Cold Atoms

Hiroya Suno, Brett D. Esry, Chris H. Greene +1 more

APSMar 1, 20000 citations

Scaling functions applied to three-body recombination of Cs133 atoms

Lucas Platter, James R. Shepard

We demonstrate the implications of Efimov physics in the recently measured recombination rate of $^{133}\mathrm{Cs}$ atoms. By employing previously calculated results for the energy dependence of the recombination rate of $^{4}\mathrm{He}$ atoms, we obtain three independent scaling functions that are capable of describing the recombination rates over a large energy range for identical bosons with large scattering length. We benchmark these and previously obtained scaling functions by successfully comparing their predictions with full atom-dimer phase shift calculations with artificial $^{4}\mathrm{He}$ potentials yielding large scattering lengths. Exploiting universality, we finally use these functions to determine the three-body recombination rate of $^{133}\mathrm{Cs}$ atoms with large positive scattering length, compare our results to experimental data obtained by Kraemer et al. at Innsbruck and find excellent agreement.We demonstrate the implications of Efimov physics in the recently measured recombination rate of $^{133}\mathrm{Cs}$ atoms. By employing previously calculated results for the energy dependence of the recombination rate of $^{4}\mathrm{He}$ atoms, we obtain three independent scaling functions that are capable of describing the recombination rates over a large energy range for identical bosons with large scattering length. We benchmark these and previously obtained scaling functions by successfully comparing their predictions with full atom-dimer phase shift calculations with artificial $^{4}\mathrm{He}$ potentials yielding large scattering lengths. Exploiting universality, we finally use these functions to determine the three-body recombination rate of $^{133}\mathrm{Cs}$ atoms with large positive scattering length, compare our results to experimental data obtained by Kraemer et al. at Innsbruck and find excellent agreement.

arXiv:0711.1908Physical Review ADec 29, 20084 citations

^{4}\mathrm{He}

atoms to constrain the universal functions. We then use those universal functions to calculate the three-body recombination rate for other atoms with large scattering length at nonzero temperature. The constraints from the

^{4}\mathrm{He}

results are strong if the scattering length is near the minimum of the three-body recombination rate at threshold. We apply our results to

^{133}\mathrm{Cs}

atoms with a large positive scattering length, and compare them with experimental results from the Innsbruck group.

We demonstrate the implications of Efimov physics in the recently measured recombination rate of

^{133}\mathrm{Cs}

atoms. By employing previously calculated results for the energy dependence of the recombination rate of

^{4}\mathrm{He}

atoms, we obtain three independent scaling functions that are capable of describing the recombination rates over a large energy range for identical bosons with large scattering length. We benchmark these and previously obtained scaling functions by successfully comparing their predictions with full atom-dimer phase shift calculations with artificial

^{4}\mathrm{He}

potentials yielding large scattering lengths. Exploiting universality, we finally use these functions to determine the three-body recombination rate of

^{133}\mathrm{Cs}

atoms with large positive scattering length, compare our results to experimental data obtained by Kraemer et al. at Innsbruck and find excellent agreement.