Anderson Localization for a Multi-Particle Quantum Graph

Details Anderson Localization for a Multi-Particle Quantum Graph Anderson Localization for a Multi-Particle Quantum Graph

2012-01-30

arxiv.org/abs/1201.6247v1

Physics

Mathematical Physics

49 pages, 2 figures

Scientific paper

We prove strong dynamical localization near the lower edge of the spectrum for a multi-particle quantum graph with random potential. To this end, we adapt the multi-particle multi-scale analysis to the quantum graph setting. 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 can be proven under a weaker assumption on the random potential than previously known.

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