Three-body loss in lithium from functional renormalization

Understand

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.