Correlations and Coherence at Different Scales (CCDS25)

Quantum integrable systems are characterized by an infinite number of conserved charges and stable quasi-particle excitations. When integrability is broken, interactions between quasi-particles are introduced, opening the way for a novel kinetic theory that incorporates both integrable and non-integrable processes. In this talk I will review recent advances in the development of such a kinetic framework, which provides new insights into a range of non-equilibrium phenomena. These include the thermalization of homogeneous systems, the emergence of the Navier-Stokes equations, and the generalization of the famous BBGKY hierarchy.