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 …

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 complex Fourier transform of the two-point correlator of the energy spectrum of a
quantum system is known as the spectral form factor (SFF). It constitutes an essential …

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 …

In this work, the term``quantum chaos''refers to spectral correlations similar to those found in
the random matrix theory. Quantum chaos can be diagnosed through the analysis of level …

The quantum sun model is an interacting model that exhibits sharp signatures of ergodicity
breaking phase transition. Here, we show that the model exhibits a many-body mobility …

We study the XXZ model with a random magnetic field in contact with a weakly disordered
spin chain, acting as a finite thermal bath. We revise Fermi's golden rule description of the …

Finite-size effects have been a major and justifiable source of concern for studies of many-
body localization, and several works have been dedicated to the subject. In this Letter …