Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

Anderson localization is a universal phenomenon affecting non-interacting quantum
particles in a disordered environment. In three spatial dimensions, theory predicts a …

We show how a large family of interacting nonequilibrium phases of matter can arise from
the presence of multiple time-translation symmetries, which occur by quasiperiodically …

The isolated one-dimensional Heisenberg model with static random magnetic fields has
become paradigmatic for the analysis of many-body localization. Here, we study the …

We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …

This paper reviews the physics of quantum disorder in relation with a series of experiments
using laser-cooled atoms exposed to “kicks” of a standing wave, realizing a paradigmatic …

We experimentally test the universality of the Anderson three dimensional metal-insulator
transition, using a quasiperiodic atomic kicked rotor. Nine sets of parameters controlling the …

Quantum interference can limit energy absorption in a continually kicked system through a
single-particle ergodicity-breaking mechanism known as dynamical localization,. The effect …

We experimentally investigate a scheme for studying lattice transport phenomena, based on
the controlled momentum-space dynamics of ultracold atomic matter waves. In the effective …

Though topological aspects of energy bands are known to play a key role in quantum
transport in solid-state systems, the implications of Floquet band topology for transport in …