The bootstrap multiscale analysis for the multi-particle Anderson 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.

References in corpus (5)

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• Eigenfunctions in a two-particle Anderson tight binding model
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Cited by in corpus (19)

• On Many-Body Localization for Quantum Spin Chains
• Multiparticle localization for disordered systems on continuous space via the fractional moment method
• A uniform area law for the entanglement of eigenstates in the disordered XY chain
• Manifestations of dynamical localization in the disordered XXZ spin chain
• Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians
• Many-Body Localization: Concepts and Simple Models
• Exponential scaling limit of the single-particle Anderson model via adaptive feedback scaling
• Characterization of the metal-insulator transport transition for the two-particle Anderson model
• Power law logarithmic bounds of moments for long range operators in arbitrary dimension
• Localization in the random XXZ quantum spin chain
• Anderson Localization for a Multi-Particle Quantum Graph
• Many-body localization in the droplet spectrum of the random XXZ quantum spin chain
• Optimal Wegner estimate and the density of states for N-body, interacting Schrodinger operators with random potentials
• Some abstract Wegner estimates with applications
• An eigensystem approach to Anderson localization for multi-particle systems
• Density of States under non-local interactions III. N-particle Bernoulli--Anderson model
• Efficient Anderson localization bounds for large multi-particle systems
• Efficient localization bounds in a continuous multi-particle Anderson model with long-range interaction
• Uniform N-particle Anderson localization and unimodal eigenstates in deterministic disordered media without induction on the number of particles