The approach to thermal equilibrium, or thermalization, in isolated quantum systems is
among the most fundamental problems in statistical physics. Recent theoretical studies have …

This review gives a pedagogical introduction to the eigenstate thermalization hypothesis
(ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first …

A bstract Continuing the previous initiatives [1, 2], we pursue the exploration of operator
growth and Krylov complexity in dissipative open quantum systems. In this paper, we resort …

A bstract Inspired by the universal operator growth hypothesis, we extend the formalism of
Krylov construction in dissipative open quantum systems connected to a Markovian bath …

Motivated by recent experimental observations of coherent many-body revivals in a
constrained Rydberg atom chain, we construct a weak quasilocal deformation of the …

This tutorial article introduces the physics of quantum information scrambling in quantum
many-body systems. The goals are to understand how to precisely quantify the spreading of …

A bstract We study chaos and scrambling in unitary channels by considering their
entanglement properties as states. Using out-of-time-order correlation functions to diagnose …

We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

A recent experiment in the Rydberg atom chain observed unusual oscillatory quench
dynamics with a charge density wave initial state, and theoretical works identified a set of …