Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

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 …

We review the imaginary time path integral approach to the quench dynamics of conformal
field theories. We show how this technique can be applied to the determination of the time …

We review the conformal field theory approach to entanglement entropy in 1+ 1 dimensions.
We show how to apply these methods to the calculation of the entanglement entropy of a …

The nonequilibrium response of a quantum many-body system defines its fundamental
transport properties and how initially localized quantum information spreads. However, for …

The nonequilibrium evolution of the block entanglement entropy is investigated in the XY
chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed …

A bstract We propose a free falling particle in an AdS space as a holographic model of local
quench. Local quenches are triggered by local excitations in a given quantum system. We …

We study the time evolution of the logarithmic negativity after a global quantum quench. In a
1+ 1-dimensional conformal invariant field theory, we consider the negativity between two …

The five lectures introduce to the description of entanglement in many-particle systems and
review the ground-state entanglement features of standard solvable lattice models. This is …