We review recent progress in understanding nearly integrable models within the framework
of generalized hydrodynamics (GHD). Integrable systems have infinitely many conserved …

Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

The highly complicated nature of far from equilibrium systems can lead to a complete
breakdown of the physical intuition developed in equilibrium. A famous example of this is the …

Entanglement asymmetry, which serves as a diagnostic tool for symmetry breaking and a
proxy for thermalization, has recently been proposed and studied in the context of symmetry …

The quantum Mpemba effect is the counterintuitive nonequilibrium phenomenon wherein
the dynamic restoration of a broken symmetry occurs more rapidly when the initial state …

We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …

Nonequilibrium dynamics of many-body quantum systems under the effect of measurement
protocols is attracting an increasing amount of attention. It has been recently revealed that …

We investigate entanglement dynamics in continuously monitored open quantum systems
featuring current-carrying nonequilibrium states. We focus on a prototypical one …

We review the spectral theory of soliton gases in integrable dispersive hydrodynamic
systems. We first present a phenomenological approach based on the consideration of …