What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

We overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

Lattice gauge theories, which originated from particle physics in the context of Quantum
Chromodynamics (QCD), provide an important intellectual stimulus to further develop …

The thermalization of isolated quantum many-body systems is deeply related to fundamental
questions of quantum information theory. While integrable or many-body localized systems …

We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

The thermodynamic description of many-particle systems rests on the assumption of
ergodicity, the ability of a system to explore all allowed configurations in the phase space …

Recent realization of a kinetically constrained chain of Rydberg atoms by Bernien,[Nature
(London) 551, 579 (2017) NATUAS 0028-0836 10.1038/nature24622] resulted in the …

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 …

We investigate the dynamics of two-dimensional quantum spin systems under the combined
effect of random unitary gates and local projective measurements. When considering steady …

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 …