We numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …

Thermalization is a ubiquitous process of statistical physics, in which a physical system
reaches an equilibrium state that is defined by a few global properties such as temperature …

We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …

We have recently shown that the logarithmic growth of the entanglement entropy following a
quantum quench in a many-body localized phase is accompanied by a slow growth of the …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

The pillars of quantum theory include entanglement and operators' failure to commute. The
Page curve quantifies the bipartite entanglement of a many-body system in a random pure …

We analyze the finite-size scaling of the average gap ratio and the entanglement entropy
across the many-body localization (MBL) transition in one dimensional Heisenberg spin …

Whether disordered and quasiperiodic many-body quantum systems host a long-lived
localized phase in the thermodynamic limit has been the subject of intense recent debate …

We study the many-body localization (MBL) transition for interacting fermions subject to
quasiperiodic potentials by constructing the local integrals of motion (LIOMs) in the MBL …

Recent developments in matrix-product-state (MPS) investigations of many-body localization
(MBL) are reviewed, with a discussion of benefits and limitations of the method. This …