Weakly interacting quasiparticles play a central role in the low-energy description of many
phases of quantum matter. At higher energies, however, quasiparticles cease to be well …

Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

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 …

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 …

We numerically investigate Heisenberg XXZ spin-1∕ 2 chain in a spatially random static
magnetic field. We find that time-dependent density-matrix renormalization group …

Recent studies point towards nontriviality of the ergodic phase in systems exhibiting many‐
body localization (MBL), which shows subexponential relaxation of local observables …

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 …

By means of full exact diagonalization, we study level statistics and the structure of the
eigenvectors of one-dimensional gapless bosonic and fermionic systems across the …

Eigenstate thermalization is widely accepted as the mechanism behind thermalization in
generic isolated quantum systems. Using the example of a single magnetic defect …

Integrable quantum systems of finite size are generically robust against weak enough
integrability-breaking perturbations, but become quantum chaotic and thermalizing if the …