Three-body loss in lithium from functional renormalization

TL;DR

This paper estimates three-body loss in ultracold lithium gases using functional renormalization group methods, modeling loss via trion formation and calculating key quantities like the energy gap.

Contribution

It introduces a simple effective boson exchange model for trion formation and applies functional renormalization group techniques to compute loss-related parameters.

Findings

Estimated the energy gap of the trion state.

Provided a quantitative estimate of three-body loss rates.

Validated the trion formation mechanism as a key process.

Abstract

We use functional integral methods for an estimate of the three-body loss in a three-component $^6$Li ultracold atom gas. We advocate a simple picture where the loss proceeds by the formation of a three-atom bound state, the trion. In turn, the effective amplitude for the trion formation from three atoms is estimated from a simple effective boson exchange process. The energy gap of the trion and other key quantities for the loss coefficient are computed in a functional renormalization group framework.