For a one-dimensional spin chain with random local interactions, we prove that many-body
localization follows from a physically reasonable assumption that limits the amount of level …

We investigate the spectral and dynamical localization of a quantum system of n particles on
ℝd which are subject to a random potential and interact through a pair potential which may …

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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 …

We extend the bootstrap multiscale analysis developed by Germinet and Klein to the multi-
particle continuous Anderson Hamiltonian, obtaining Anderson localization with finite …

This book is about rigorous results on localization in multi-particle interactive Anderson
models, mostly on a cubic lattice Zd of dimension d 1. The book emerged in the wake of …

We study multi-particle interactive quantum disordered systems on a polynomially growing
countable connected graph. Z; E/. The main novelty is to give localization bounds uniform in …

We review recent results on many-body localization for two explicitly analyzable models of
many-body quantum systems, the XY spin chain in transversal magnetic field as well as …

The thermodynamic limit of the internal energy and the entropy of the system of quantum
interacting particles in random medium is shown to exist under the crucial requirements of …

We extend to the two-particle Anderson model the characterization of the metal–insulator
transport transition obtained in the one-particle setting by Germinet and Klein. We show that …