This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

A bstract We apply a notion of quantum complexity, called “Krylov complexity”, to study the
evolution of systems from integrability to chaos. For this purpose we investigate the …

In the past decades, it was recognized that quantum chaos, which is essential for the
emergence of statistical mechanics and thermodynamics, manifests itself in the effective …

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 …

Building upon recent research in spin systems with nonlocal interactions, this study
investigates operator growth using the Krylov complexity in different nonlocal versions of the …

The transverse-field Ising model is one of the fundamental models in quantum many-body
systems, yet a full understanding of its dynamics remains elusive in higher than one …

Out-of-time-ordered correlators (OTOCs) have received considerable recent attention as
qualitative witnesses of information scrambling in many-body quantum systems. Theoretical …

Out-of-time-ordered correlators (OTOCs) have been proposed as a probe of chaos in
quantum mechanics, on the basis of their short-time exponential growth found in some …

One manifestation of quantum chaos is a random-matrix-like fine-grained energy spectrum.
Prior to the inverse level spacing time, random matrix theory predicts a “ramp” of increasing …

We study the connections between three quantities that can be used as diagnostics for
quantum chaos, ie, the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and …