Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems

Abstract

We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.

For the proceedings of the XVI International Congress of Mathematical Physics, Prague 2009. Lecture presented by S. Warzel

References in corpus (5)

• Moment Analysis for Localization in Random Schroedinger Operators
• Localization Bounds for Multiparticle Systems
• Multi-Particle Anderson Localisation: Induction on the Number of Particles
• Wegner bounds for a two-particle tight binding model
• A Wegner estimate for multi-particle random Hamiltonians

Cited by in corpus (7)

• Universality of smoothness of Density of States in arbitrary higher-dimensional disorder under non-local interactions I. From Viéte--Euler identity to Anderson localization
• Anderson localization for a multi-particle model with alloy-type external potential
• Multi-particle dynamical localization in a continuous Anderson model with an alloy-type potential
• Multi-particle localization at low energy for the multi-dimensional continuous Anderson model
• Lifshitz tails for the multi-particle continuous Anderson model
• Resonances and multi-particle localization at low energy
• Efficient Anderson localization bounds for large multi-particle systems