This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …

We examine two exactly solvable models of decoherence—a central spin-system,(i) with
and (ii) without a self-Hamiltonian, interacting with a collection of environment spins. In the …

We use trapped atomic ions forming a hybrid Coulomb crystal and exploit its phonons to
study an isolated quantum system composed of a single spin coupled to an engineered …

The aim of the present paper is to analyze a realistic model of a quantum chaotic system: the
spectrum and the eigenstates of the rare-earth atom of Ce. Using the relativistic …

The overlap of two wave packets evolving in time with slightly different Hamiltonians decays
exponentially∝ e− γ t, for perturbation strengths U greater than the level spacing Δ. We …

It has been shown that, despite being local, a perturbation applied to a single site of the one-
dimensional XXZ model is enough to bring this interacting integrable spin-1/2 system to the …

We study the onset of chaos and statistical relaxation in two isolated dynamical quantum
systems of interacting spins 1/2, one of which is integrable and the other chaotic. Our …

We introduce aspects of quantum chaos by analyzing the eigenvalues and the eigenstates
of quantum many-body systems. The properties of quantum systems whose classical …