Resonances and multi-particle localization at low energy
Mathematical Physics
2020-04-07 v1 math.MP
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-H\"older continuous or Lipshitz continuous. The method also apply to i.i.d. random Gaussian potential with independent fluctuations.
Cite
@article{arxiv.2004.02849,
title = {Resonances and multi-particle localization at low energy},
author = {Trésor Ekanga},
journal= {arXiv preprint arXiv:2004.02849},
year = {2020}
}
Comments
16 pages