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Physik-Institut Theory of Quantum Matter

Other Research Highlights

Fractional Chern Insulators

We showed theoretically that the fractional qunatum Hall effect can appear without an external magnetic field, giving rise to so-called fractional Chern insulators. These states of matter have been found in van-der-Waals materials. 

"Fractional Quantum Hall States at Zero Magnetic Field", PRL 106, 236804 (2011)

Higher-Order Topological Insulators

Topological insulators are three-dimensional crystals with protected conducting states on their surface. We proved theoretically that they have "higher-order" cousins that have protected metallic states on crystal hinges. We collaborated with experimental groups to show that elementary bismuth is such a higher-order topological insulator.

"Higher-Order Topological Insulators", Science Advances 4, eaat0346 (2018)

"Higher-Order Topology in Bismuth", Nature Physics 14, 918 (2018)

Simulation of Many-Body Dynamics

The quench dynamics of quantum many-body systems can reveal fundamental properties of the system and is often studied in cold-atom experiments. To simulate such dynamics, we employed matrix-product-states-based methods for both closed and open quantum systems, in particular in the context of many-body localization.

"Signatures of Many-Body Localization in a Controlled Open Quantum System", PRX 7, 011034 (2017)

"Dynamics of a Many-Body-Localized System Coupled to a Bath", PRL 116, 160401 (2016)

"Observation of many-body localization of interacting fermions in a quasirandom optical lattice", Science 349, 842-845 (2015)

Novel Methods for Quantum Many-Body Systems

Understanding quantum matter is a problem of highest computational complexity. Therefore, we develop novel numerical methods, use machine learning technology in our studies, and explore the potential of quantum computers to simulate quantum systems.  

"Algorithmic Error Mitigation Scheme for Current Quantum Processors", Quantum 5, 492 (2021)

"Symmetries and many-body excitations with neural-network quantum states", PRL 121, 167204 (2018)

"Probing many-body localization with neural networks",PRB 95, 245134 (2017)