A common phenomenon in the dynamics of out of equilibrium systems is the metastability, and the problem of the lifetime of metastable states involves fundamental aspects of nonequilibrium statistical mechanics. In spite of such ubiquity, the microscopic understanding of metastability and related out of equilibrium dynamics still raise fundamental questions. Stochastic many-body systems, classical and quantum, often display a complex and slow relaxation towards a stationary state. This nonlinear relaxation process in multistable systems is crucial for understanding the transient dynamics in complex physical and biological systems. This Workshop will bring together leading experts and research groups with significant contribution to the contemporary state-of-the-art of nonequilibrium classical and quantum systems, working towards the development of new quantum technologies. Moreover, aim of this meeting is to bring together scientists interested to the challenging problems connected with the dynamics of nonequilibrium multistable systems from both theoretical and experimental point of view, within an interdisciplinary context. The conference will be a discussion forum to promote new ideas in this fertile field of research, and in particular new trends such as out-of-equilibrium systems, high-Tc superconductivity, quantum phase transitions, topological phase transitions, quantum metrology, machine learning and quantum algorithms for complex systems.