Resonances and localization in multi-particle disordered systems

TL;DR

This paper demonstrates that a new eigenvalue concentration bound simplifies the proof of multi-particle spectral and dynamical localization in disordered quantum lattice systems, building on previous work.

Contribution

The authors introduce a new eigenvalue concentration bound that streamlines the proof of localization phenomena in multi-particle disordered systems.

Findings

Simplified proof of multi-particle spectral localization

Establishment of multi-particle dynamical localization

Validation of the new eigenvalue concentration bound's effectiveness

Abstract

This is a complement to our earlier work \cite{C10a} where a new eigenvalue concentration bound for multi-particle disordered quantum lattice systems was obtained. Here we show that the new bound leads to a simplified proof of multi-particle spectral and dynamical localization.