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 …

This review presents the effective temperature notion as defined from the deviations from the
equilibrium fluctuation–dissipation theorem in out-of-equilibrium systems with slow …

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 recent progress in the understanding of the relaxation of isolated near-
integrable quantum many-body systems. Focusing on prethermalization and universal …

We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …

We consider the stationary state properties of the reduced density matrix as well as spin–
spin correlation functions after a sudden quantum quench of the magnetic field in the …

We study a quench protocol where the ground state of a free many-particle bosonic theory in
one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of …

We consider dynamic (non-equal-time) correlation functions of local observables after a
quantum quench. We show that, in the absence of long-range interactions in the final …

We study the dynamics of a quantum Ising chain after the sudden introduction of a
nonintegrable long-range interaction. Via an exact map** onto a fully connected lattice of …