Resonances and multi-particle localization at low energy

Abstract

We use a new eigenvalue concentration bound for the fluctuation of the sample mean of the random extternal potential in the multi-particle Anderson model and prove the spectral exponential and the strong dynamical localization. The results just need some weaker condition on the distribution function of the sample including a large class of probability distribution such as log-Hölder continuous or Lipshitz continuous. The method also apply to i.i.d. random Gaussian potential with independent fluctuations.

arXiv comment16 pages

References in corpus (5)

• An Invitation to Random Schroedinger operators
• On two-particle Anderson localization at low energies
• Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems
• N-body localization for the Anderson model with strongly mixing correlated random potentials
• Multi-particle localization at low energy for the multi-dimensional continuous Anderson model