Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

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 study the growth of the number entropy SN in one-dimensional number-conserving
interacting systems with strong disorder, which are believed to display many-body …

The explorations of non-Hermiticity have been devoted to investigate the disorder-induced
many-body localization (MBL). However, the sensitivity of the spatial boundary conditions …

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

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 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 …

Despite enormous efforts devoted to the study of the many-body localization (MBL)
phenomenon, the nature of the high-energy behavior of the Heisenberg spin chain in a …

We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

We study many-body localization (MBL) transition in disordered Floquet systems using a
polynomially filtered exact diagonalization (POLFED) algorithm. We focus on disordered …