The bootstrap multiscale analysis for the multi-particle Anderson model
Abel Klein, Son T. Nguyen
TL;DR
This paper extends the bootstrap multi-scale analysis to the multi-particle Anderson model, establishing localization properties and eigenfunction decay, which are crucial for understanding disordered quantum systems with multiple particles.
Contribution
It introduces a novel extension of the bootstrap multi-scale analysis to the multi-particle setting, enabling new results on localization phenomena.
Findings
Proves Anderson localization for multi-particle systems
Establishes dynamical localization in the multi-particle Anderson model
Demonstrates decay of eigenfunction correlations in the extended model
Abstract
We extend the bootstrap multi-scale analysis developed by Germinet and Klein to the multi-particle Anderson model, obtaining Anderson localization, dynamical localization, and decay of eigenfunction correlations.
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