Quantum mechanics is one of the fundamental physical theories, and the one whose birth in the early XX century was intimately intertwined with parallel developments in mathematics. The bond between the two subjects has not weakened since then, and this project aims to extend and enhance this bond by exhibiting important new links between the two subjects. The Quantum Systems project aims to implement mathematical methods in the study of concrete physical systems in order to unlock hidden geometric structures of matter and create new theories based on modern tools of mathematical physics.
The main research domains are:
- Investigating quantization phenomena in externally driven open systems;
- Clarifying the role of topological structures in disordered systems;
- Understanding the role of functional integration in the study of many-particle quantum systems.