Two interacting particles in an effective 2-3d random potential

TL;DR

This paper investigates how interactions between two particles affect their localization in a disordered 2-3D system, revealing that interactions can induce delocalization and lead to subdiffusive pair propagation.

Contribution

It demonstrates that in dimensions greater than two, particle interactions cause delocalization below the single-particle threshold and reveals the logarithmic growth of pair size over time.

Findings

Interaction induces two-particle delocalization below one-particle border.

Pair size grows logarithmically with time.

Pair propagation exhibits subdiffusive behavior.

Abstract

We study the effect of coherent propagation of two interacting particles in an effective 2-3-d disordered potential. Our numerical data demonstrate that in dimension $d > 2$, interaction can lead to two--particles delocalization below one--particle delocalization border. We also find that the distance between the two delocalized particles (pair size) grows logarithmically with time. As a result pair propagation is subdiffusive.