Anderson Localization for a Multi-Particle Quantum Graph
Mathematical Physics
2013-11-11 v3 Disordered Systems and Neural Networks
math.MP
Abstract
We study a multi-particle quantum graph with random potential. Taking the approach of multiscale analysis we prove exponential and strong dynamical localization of any order in the Hilbert-Schmidt norm near the spectral edge. Apart from the results on multi-particle systems, we also prove Lifshitz-type asymptotics for single-particle systems. This shows in particular that localization for single-particle quantum graphs holds under a weaker assumption on the random potential than previously known.
Cite
@article{arxiv.1201.6247,
title = {Anderson Localization for a Multi-Particle Quantum Graph},
author = {Mostafa Sabri},
journal= {arXiv preprint arXiv:1201.6247},
year = {2013}
}
Comments
40 pages. The presentation has been improved and a couple of corrections have been made