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

We discuss the universal nature of relaxation in isolated many-body quantum systems
subjected to global and strong periodic driving. Our rigorous Floquet analysis shows that the …

Based on the view that thermal equilibrium should be characterized through macroscopic
observations, we develop a general theory about typicality of thermal equilibrium and the …

The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for
example, because it may seem to conflict with the time-reversibility of the microscopic …

We prove two theorems concerning the time evolution in general isolated quantum systems.
The theorems are relevant to the issue of the time scale in the approach to equilibrium. The …

The exact quantum decay of a one-dimensional Bose gas with inverse-square interactions is
presented. The system is equivalent to a gas of particles obeying generalized exclusion …

We present a series of quantum states that are characterized by dark solitons of the
nonlinear Schrödinger equation (ie the Gross–Pitaevskii equation) for the one-dimensional …

The Lieb-Liniger model describes bosons with contact interactions in one-dimensional
space. In the limit of weak repulsive particle interactions, there are two types of low-lying …

Solitons are ubiquitous phenomena that appear, among others, in the description of tsunami
waves, fiber-optic communication and ultracold atomic gases. The latter systems turned out …

Recent exact solutions of the 1D Kardar–Parisi–Zhang equation make use of the 1D
integrable Lieb–Liniger model of interacting bosons. For flat initial conditions, it requires the …