155 citations · 715 across the 35 of their papers we have counts for
41 papers
On the Regime of Localized Excitations for Disordered Oscillator Systems
Houssam Abdul-Rahman, Robert Sims, Günter Stolz
We study quantum oscillator lattice systems with disorder, in arbitrary dimension, requiring only partial localization of the associated effective one-particle Hamiltonian. This le…
Aspects of the Mathematical Theory of Disordered Quantum Spin Chains
Günter Stolz
We give an introduction into some aspects of the emerging mathematical theory of many-body localization (MBL) for disordered quantum spin chains. In particular, we discuss manifest…
Lower bounds for Dirichlet Laplacians and uncertainty principles
Peter Stollmann, Günter Stolz
We prove lower bounds for the Dirichlet Laplacian on possibly unbounded domains in terms of natural geometric conditions. This is used to derive uncertainty principles for low ener…
Droplet states in quantum XXZ spin systems on general graphs
Christoph Fischbacher, Günter Stolz
We study XXZ spin systems on general graphs. In particular, we describe the formation of droplet states near the bottom of the spectrum in the Ising phase of the model, where the Z…
Manifestations of dynamical localization in the disordered XXZ spin chain
Alexander Elgart, Abel Klein, Günter Stolz
We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It h…
Droplet localization in the random XXZ model and its manifestations
Alexander Elgart, Abel Klein, Günter Stolz
We examine many-body localization properties for the eigenstates that lie in the droplet sector of the random-field spin- XXZ chain. These states satisfy a basic single…