Three body recombination of ultracold dipoles to weakly bound dimers

TL;DR

This paper investigates three-body recombination in ultracold dipolar systems, revealing how the rates depend on scattering length and dipolar length, and providing universal structural insights into weakly bound dipole states.

Contribution

It introduces a universal framework for understanding three-body recombination rates in dipolar gases, highlighting the dependence on scattering and dipolar lengths.

Findings

Recombination rates scale as a^4, a^2 D^2, and D^4 when a >> D.

When a << D, the rate scales as D^4.

Universal structure of weakly bound two-dipole states depends only on the s-wave scattering length.

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 $D^4$.