Three body recombination of ultracold dipoles to weakly bound dimers

Abstract

We use universality in two-body dipolar physics to study three-body recombination. We present results for the universal structure of weakly bound two-dipole states that depend only on the s-wave scattering length ($a$). We study threshold three-body recombination rates into weakly-bound dimer states as a function of the scattering length. A Fermi Golden rule analysis is used to estimate rates for different events mediated by the dipole-dipole interaction and a phenomenological contact interaction. The three-body recombination rate in the limit where $a\gg D$ contains terms which scale as $a^4$, $a^2{D}^2$ and $D^4$, where $D$ is the dipolar length. When $a\ll D$, the three-boby recombination rate scales as $D^4$.

4 pages, 2 figures

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• Feshbach resonances in $p$-wave three-body recombination within Fermi-Fermi mixtures of open-shell ${}^6$Li and closed-shell ${}^{173}$Yb atoms
• Lindblad Equation for the Inelastic Loss of Ultracold Atoms
• Universal three-body physics for fermionic dipoles
• Control of ${}^{164}$Dy Bose-Einstein condensate phases and dynamics with dipolar anisotropy
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• Three-Body Recombination of Ultracold Microwave-Shielded Polar Molecules
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• A Dielectric Superfluid of Polar Molecules
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• Four-body long-range interactions between ultracold weakly-bound diatomic molecules
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• Two-state Bogoliubov theory of a molecular Bose gas