The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

We review recent theoretical work on two closely related issues: excitation of an isolated
quantum condensed matter system driven adiabatically across a continuous quantum phase …

For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

We define matrix product states in the continuum limit, without any reference to an
underlying lattice parameter. This allows us to extend the density matrix renormalization …

The theory of generalized hydrodynamics (GHD) was recently developed as a new tool for
the study of inhomogeneous time evolution in many-body interacting systems with infinitely …

Inspired by classical results in integrable boundary quantum field theory, we propose a
definition of integrable initial states for quantum quenches in lattice models. They are …

Using a numerical renormalization group based on exploiting an underlying exactly solvable
nonrelativistic theory, we study the out-of-equilibrium dynamics of a 1D Bose gas (as …

Describing and understanding the motion of quantum gases out of equilibrium is one of the
most important modern challenges for theorists. In the groundbreaking Quantum Newton …

The probabilistic character of the measurement process is one of the most puzzling and
fascinating aspects of quantum mechanics. In many-body systems quantum-mechanical …