Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

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 …

Entanglement and entropy are key concepts standing at the foundations of quantum and
statistical mechanics. Recently, the study of quantum quenches revealed that these …

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 …

The time evolution of the entanglement entropy in non-equilibrium quantum systems
provides crucial information about the structure of the time-dependent state. For quantum …

We study the out-of-equilibrium dynamics of the quantum cellular automaton known as “Rule
54.” For a class of low-entangled initial states, we provide an analytic description of the effect …

We give a pedagogical introduction to the methodology of the Quench Action, which is an
effective representation for the calculation of time-dependent expectation values of physical …

Inspired by classical results in integrable boundary quantum field theory, we propose a
definition of integrable initial states for quantum quenches in lattice models. They are …

We consider the class of dual-unitary quantum circuits in 1+ 1 dimensions and introduce a
notion of “solvable” matrix product states (MPSs), defined by a specific condition which …

These are lecture notes for a short course given at the Les Houches Summer School
on``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I …