Krylov space methods provide an efficient framework for analyzing the static and dynamical
aspects of quantum systems, with tridiagonal matrices playing a key role. Despite their …

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 …

We study the spectral properties of the adjacency matrix in the giant connected component
of Erdös-Rényi random graphs, with average degree p and randomly distributed hop** …

In various chaotic quantum many-body systems, the ground states show nontrivial athermal
behavior despite the bulk states exhibiting thermalization. Such athermal states play a …

A bstract Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang (KPZ) scaling in late-
time correlators and autocorrelators of certain interacting many-body systems, such as …

We investigate how the dynamical fluctuations of many-body quantum systems out of
equilibrium can be mitigated when they are opened to a dephasing environment. We …

The Rosenzweig-Porter model is a single-parameter random matrix ensemble that supports
an ergodic, fractal, and localized phase. The names of these phases refer to the properties …

We study numerically the Hessian of low-lying minima of vector spin glass models defined
on random regular graphs. We consider the two-component (XY) and three-component …

The mobility edge (ME) is a crucial concept in understanding localization physics, marking
the critical transition between extended and localized states in the energy spectrum …

We study whether a generic isolated quantum system initially set out of equilibrium can be
considered as localized close to its initial state. Our approach considers the time evolution in …