An eigensystem approach to Anderson localization for multi-particle systems
Bjoern Bringmann, Dana Mendelson
TL;DR
This paper extends the eigensystem multi-scale analysis to multi-particle systems to establish Anderson localization, providing a new framework for understanding localization phenomena in complex quantum systems.
Contribution
It introduces a multi-particle eigensystem multi-scale analysis, adapting methods previously used for single-particle systems to multi-particle contexts.
Findings
Established Anderson localization for multi-particle systems.
Extended eigensystem multi-scale analysis to multi-particle models.
Provided a new analytical framework for multi-particle localization.
Abstract
This paper revisits the proof of Anderson localization for multi-particle systems. We introduce a multi-particle version of the eigensystem multi-scale analysis by Elgart and Klein, which had previously been used for single-particle systems.
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