Inelastic Multiple Scattering of Interacting Bosons in Weak Random Potentials

TL;DR

This paper introduces a diagrammatic scattering theory for interacting bosons in weak disorder, revealing how collisions lead to thermalization and dominate the current beyond the elastic approximation.

Contribution

It presents a novel theoretical framework for understanding inelastic scattering and thermalization of bosons in disordered potentials, extending beyond the Gross-Pitaevskii approach.

Findings

Inelastic scattering causes rapid thermalization of bosons.

Collisional energy transfer dominates the current after few collisions.

Elastic contribution becomes negligible compared to inelastic effects.

Abstract

We develop a diagrammatic scattering theory for interacting bosons in a three-dimensional, weakly disordered potential. We show how collisional energy transfer between the bosons induces the thermalization of the inelastic single-particle current which, after only few collision events, dominates over the elastic contribution described by the Gross-Pitaevskii ansatz.