In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

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 …

We consider the static and the dynamic phases in a Rosenzweig-Porter (RP) random matrix
ensemble with a distribution of off-diagonal matrix elements of the form of the large-deviation …

Despite tremendous theoretical efforts to understand subtleties of the many-body
localization (MBL) transition, many questions remain open, in particular concerning its …

We explore the Fock-space structure of eigenstates across the many-body localization
(MBL) transition in a disordered, interacting quantum spin-1 2 chain. Eigenstate expectation …

In this paper we propose a new perspective to analyze the many-body localization (MBL)
transition when recast in terms of a single-particle tight-binding model in the space of many …

We study the return probability for the Anderson model on the random regular graph and
give evidence of the existence of two distinct phases: a fully ergodic and nonergodic one. In …

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 …

Many-body localization in interacting quantum systems can be cast as a disordered hopping
problem on the underlying Fock-space graph. A crucial feature of the effective Fock-space …