Our research comprises three main directions in the field of condensed matter theory:
Topology in Quantum Matter — Topological materials denotes a broad class of quantum matter with striking properties. In their interior, new excitations emerge that have not been observed as free particles before. Their surfaces or edges are host to exotic phenomena, so-called anomalies, that may be useful to build quantum computing hardware. We study a host of such topological phenomena, connecting descriptions in abstract mathematical models to the reality of quantum materials.
Open Systems — A common regime of study are systems at zero temperature in complete isolation. However, the exchange of energy or even particles with the environment may allow for new, exciting phenomena. For instance, such open systems may attain an effective description with non-Hermitian operators, rather than a Hermitian Hamiltonian. Besides, even classical systems, such as electrical circuits, can be used to demonstrate novel physics out of equilibrium.
Quantum Computing and Machine Learning — Understanding quantum matter is a problem of highest computational complexity. Therefore, we constantly develop new numerical methods and use machine learning technology in our studies. In addition, we explore the potential of quantum computers to simulate quantum systems.
We put a large emphasis on collaborations with experimental or theoretical groups. A selection of our collaborators are