We review the recent advances on exact results for dynamical correlation functions at large
scales and related transport coefficients in interacting integrable models. We discuss Drude …

At large scales of space and time, the nonequilibrium dynamics of local observables in
extensive many-body systems is well described by hydrodynamics. At the Euler scale, one …

We consider the non-equilibrium dynamics of the entanglement entropy of a one-
dimensional quantum gas of hard-core particles, initially confined in a box potential at zero …

We study transport in the free fermionic one-dimensional systems subjected to arbitrary local
potentials. The bias needed for the transport is modeled by the initial highly non-equilibrium …

The large-scale behaviour of entanglement entropy in finite-density states, in and out of
equilibrium, can be understood using the physical picture of particle pairs. However, the full …

We present a Wigner function-based approach for the particle density evolution in fermionic
and bosonic open quantum many-body systems, including the effects of dephasing. In …

We study the out-of-equilibrium dynamics of noninteracting fermions in one dimension and
in continuum space, in the presence of a delta impurity potential at the origin whose strength …

We theoretically study propagating correlation fronts in noninteracting fermions on a one-
dimensional lattice starting from an alternating state, where the fermions occupy every other …

Lindbladian dissipative processes can be determined by stochastic samplings of individual
trajectories, whose non-Hermitian evolution is perturbed by quantum jumps. The conditional …

The phase diagram of the one-dimensional hexagonal Harper (HH) model reveals the
presence of two metallic phases and one insulating phase, separated by critical lines and a …