# Quantum Systems

Quantum mechanics is one of the fundamental theories of physics whose birth in the early 20th century was intimately intertwined with important developments in mathematics. There are many remaining open questions about the mathematical foundations and many further questions concerning applications which are often motivated by condensed matter physics.

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.

**Specific projects include questions concerning:**

- Topological phases of matter.
- Large quantum systems.
- Quantum dissipative systems.

### Project leader

Gian-Michele Graf

###### ETH Zurich

### Professors related to Quantum Systems

###### Nicolas Brunner

###### Jean-Pierre Eckmann

###### Jürg Fröhlich

###### Nicolas Gisin

###### Gian-Michele Graf

###### Horst Knoerrer

###### Tudor Ratiu

###### Renato Renner

###### Chiara Saffirio

###### Benjamin Schlein

###### Stanislav Smirnov

###### Eugene Sukhorukov