Multi-particle dynamical localization in a continuous Anderson model with an alloy-type potential

TL;DR

This paper extends previous work to demonstrate dynamical localization in a multi-particle Anderson model with alloy-type potential using multi-scale analysis, highlighting the robustness of localization phenomena in such systems.

Contribution

It provides a rigorous derivation of dynamical localization for multi-particle models with alloy-type potentials, building on earlier estimates and multi-scale analysis techniques.

Findings

Proves dynamical localization for multi-particle Anderson models

Utilizes multi-scale analysis to derive localization results

Confirms robustness of localization in alloy-type potentials

Abstract

This paper is a complement to our earlier work \cite{BCSS10b}. With the help of the multi-scale analysis, we derive, from estimates obtained in \cite{BCSS10b}, dynamical localization for a multi-particle Anderson model in a Euclidean space $\D{R}^{d}$, $d\geq 1$, with a short-range interaction, subject to a random alloy-type potential.