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 re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

We study the operator growth problem and its complexity in the many-body localization
(MBL) system from the Lanczos algorithm perspective. Using the Krylov basis, the operator …

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

This article reviews recent progress in understanding the physics of many-body localisation
(MBL) in disordered and interacting quantum many-body systems, from the perspective of …

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 …

Quantum simulation provides platforms to study fundamental aspects of many-body physics
in a controlled way, and to explore their implications for quantum technology. However, the …

We analyze a crossover between ergodic and nonergodic regimes in an interacting spin
chain with a dilute density of impurities, defined as spins with a strong local field. The dilute …

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 …

Studies of disordered spin chains have recently experienced a renewed interest, inspired by
the question to which extent the exact numerical calculations comply with the existence of a …