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 …

Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

The density-matrix renormalization group method (DMRG) has established itself over the
last decade as the leading method for the simulation of the statics and dynamics of one …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Spinor Bose gases form a family of quantum fluids manifesting both magnetic order and<?
format?> superfluidity. This article reviews experimental and theoretical progress in …

The problem of how complex quantum systems eventually come to rest lies at the heart of
statistical mechanics. The maximum-entropy principle describes which quantum states can …

A fundamental principle of chaotic quantum dynamics is that local subsystems eventually
approach a thermal equilibrium state. The corresponding timescales increase with …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

We propose a general method to embed target states into the middle of the energy spectrum
of a many-body Hamiltonian as its energy eigenstates. Employing this method, we construct …

We use quantum quenches to study the dynamics and thermalization of hard core bosons in
finite one-dimensional lattices. We perform exact diagonalizations and find that, far away …