Interactions and localization: two interacting particles approach

TL;DR

This paper demonstrates that two interacting particles in a random potential can exhibit coherent propagation over distances exceeding single-particle localization lengths, leading to pair delocalization in various dimensions.

Contribution

It introduces the two interacting particles approach to show how interactions induce delocalization beyond single-particle limits in disordered systems.

Findings

Two particles can propagate coherently over large distances

Interactions lead to pair delocalization in disordered systems

Numerical simulations reveal specific features of this delocalization

Abstract

It is shown that two repulsing / attracting particles in a random potential can propagate coherently on a distance much larger than one-particle localization length without interaction. In dimension $d$ this leads to delocalization of pairs formed by two repulsing / attracting particles. The results of numerical simulations allow to understand some specific features of this effect.