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 …

Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

In the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-
body system can fail to thermalize and become many-body localized. The associated …

The transition from a many-body localized phase to a thermalizing one is a dynamical
quantum phase transition that lies outside the framework of equilibrium statistical …

We study disorder-induced ergodicity breaking transition in high-energy eigenstates of
interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function …

We review the non-equilibrium dynamics of many-body quantum systems after a quantum
quench with spatial inhomogeneities, either in the Hamiltonian or in the initial state. We …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

The many-body localised (MBL) to thermal crossover observed in exact diagonalisation
studies remains poorly understood as the accessible system sizes are too small to be in an …

We propose a scaling theory for the many-body localization (MBL) phase transition in one
dimension, building on the idea that it proceeds via a “quantum avalanche.” We argue that …

Recent progress in the realm of noisy intermediate-scale quantum (NISQ) devices [J.
Preskill, Quantum 2, 79 (2018)] represents an exciting opportunity for many-body physics by …