This paper reviews recent experimental and theoretical progress concerning many-body
phenomena in dilute, ultracold gases. It focuses on effects beyond standard weak-coupling …

When attempting to understand the role of disorder in condensed-matter physics, we face
considerable experimental and theoretical difficulties, and many questions are still open …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

In this work we demonstrate that nonrandom mechanisms that lead to single-particle
localization may also lead to many-body localization, even in the absence of disorder. In …

In 1958, Anderson predicted the localization 1 of electronic wavefunctions in disordered
crystals and the resulting absence of diffusion. It is now recognized that Anderson …

In disordered media, quantum interference effects are expected to induce complete
suppression of electron conduction. The phenomenon, known as Anderson localization, has …

We realize experimentally an atom-optics quantum-chaotic system, the quasiperiodic kicked
rotor, which is equivalent to a 3D disordered system that allows us to demonstrate the …

We study numerically the spreading of an initially localized wave packet in a one-
dimensional discrete nonlinear Schrödinger lattice with disorder. We demonstrate that …

This review presents a unified view on the problem of Anderson localization in one-
dimensional weakly disordered systems with short-range and long-range statistical …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …