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 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 study quenches in integrable spin-1/2 chains in which we evolve the ground state of the
antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this …

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 …

According to the eigenstate thermalization hypothesis (ETH), even isolated quantum
systems can thermalize because the eigenstate-to-eigenstate fluctuations of typical …

We show that confinement in the quantum Ising model leads to nonthermal eigenstates, in
both continuum and lattice theories, in both one (1D) and two dimensions (2D). In the …

We consider the reduced density matrix (RDM) ρ A (t) for a finite subsystem A after a global
quantum quench in the infinite transverse-field Ising chain. It has been recently shown that …

We investigate spectral statistics in spatially extended, chaotic many-body quantum systems
with a conserved charge. We compute the spectral form factor K (t) analytically for a minimal …

We consider the out-of-equilibrium dynamics generated by joining two domains with
arbitrary opposite magnetizations. We study the stationary state which emerges by the …

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 …