In the last decade, there has been an increasing interest in the analysis of energy level
spectra and wave functions of nuclei, particles, atoms and other quantum many-body …

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 …

We study how the proximity to an integrable point or to localization as one approaches the
atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset …

The ground states of all even–even nuclei have angular momentum, I, equal to zero, I= 0,
and positive parity, π=+. This feature was believed to be a consequence of the attractive …

We study the onset of eigenstate thermalization in the two-dimensional transverse field Ising
model (2D-TFIM) in the square lattice. We consider two nonequivalent Hamiltonians: the …

We investigate disordered one-and two-dimensional Heisenberg spin lattices across the
transition from integrability to quantum chaos from both statistical many-body and quantum …

We analyze the role of spectral diffusion in the problem of many‐body delocalization in
quantum dots and in extended systems. The spectral diffusion parametrically enhances …

Models of many-body localization (MBL) can be represented as tight-binding models in the
many-body Hilbert space (Fock space). We explore the role of correlations between matrix …

This book a first comprehensive review on statistical spectroscopy deals with two related yet
distinct topics a" averages and fluctuations. While fluctuations have been dealt with in …

We study out-of-time-order correlation (OTOC) for one-dimensional periodically driven
hardcore bosons in the presence of Aubry-André (AA) potential and show that both the …