Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians

Abstract

We extend the bootstrap multiscale analysis developed by Germinet and Klein to the multi-particle continuous Anderson Hamiltonian, obtaining Anderson localization with finite multiplicity of eigenvalues, decay of eigenfunction correlations, and a strong form of dynamical localization.

arXiv admin note: text overlap with arXiv:1212.5638

References in corpus (3)

• An Invitation to Random Schroedinger operators
• Wegner bounds for a two-particle tight binding model
• A Wegner estimate for multi-particle random Hamiltonians

Cited by in corpus (5)

• Many-Body Localization: Concepts and Simple Models
• Exponential decay of eigenfunctions in a continuous multi-particle Anderson model with sub-exponentially decaying interaction
• Efficient localization bounds in a continuous multi-particle Anderson model with long-range interaction
• Efficient Anderson localization bounds for large multi-particle systems
• Uniform N-particle Anderson localization and unimodal eigenstates in deterministic disordered media without induction on the number of particles