Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

Using a new approximate strong-randomness renormalization group (RG), we study the
many-body localized (MBL) phase and phase transition in one-dimensional quantum …

The eigenstate thermalization hypothesis provides to date the most successful description of
thermalization in isolated quantum systems by conjecturing statistical properties of matrix …

The scaling of the Thouless time with system size is of fundamental importance to
characterize dynamical properties in quantum systems. In this work, we study the scaling of …

Within the broad theme of understanding the dynamics of disordered quantum many-body
systems, one of the simplest questions one can ask is, given an initial state, how does it …

We investigate the effect of ergodic inclusions in putative many-body localized systems. We
consider the random field Heisenberg chain, which is many-body localized at strong …

We consider the statistical properties of eigenstates of the time-evolution operator in chaotic
many-body quantum systems. Our focus is on correlations between eigenstates that are …

We numerically study the dynamics on the ergodic side of the many-body localization
transition in a periodically driven Floquet model with no global conservation laws. We …

We numerically study the formation of entanglement clusters across the many-body
localization transition. We observe a crossover from strong many-body entanglement in the …

We study classical percolation models in Fock space as proxies for the quantum many-body
localization (MBL) transition. Percolation rules are defined for two models of disordered …