Théorique, numérique
We are only a the beginning of understanding the close relationship between quantum information and correlated quantum matter, for instance on emerging phenomena such as phase transitions. Another equally fundamental question is to understand how information propagates in correlated quantum systems, with applications of prime importance not only for quantum communications, but also for the foundations of statistical physics and the ergodicity of isolated systems. The study of these questions is particularly suited to close collaboration between theory and experiments realized out on new quantum control devices. This project aims to explore two aspects of these questions: (i) The role of entanglement in quantum phase transitions; (ii) The propagation of information in correlated quantum systems.