Dresden 2020 – scientific programme

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DS: Fachverband Dünne Schichten

DS 2: Focus Session: Topological Phenomena in Synthetic Matter I (joint session DS/O)

DS 2.3: Invited Talk

Monday, March 16, 2020, 10:30–11:00, CHE 89

Exceptional Topology of Non-Hermitian Systems — •Jan Carl Budich — Institute of Theoretical Physics, Technische Universität Dresden, 01062 Dresden, Germany

In a broad variety of physical situations ranging from classical settings to open quantum systems, non-Hermitian (NH) Hamiltonians have proven to be a powerful and conceptually simple tool for effectively describing dissipation. Motivated by recent experimental discoveries in synthetic materials, a major focus of research has developed on investigating the topological properties of such NH systems. In this talk, we present our latest results in this rapidly growing field. Specifically, we discuss the occurrence of novel gapless topological phases unique to NH systems. There, the role of spectral degeneracies familiar from Hermitian systems such as Weyl semimetals is played by exceptional points at which the effective NH Hamiltonian becomes non-diagonalizable. Furthermore, we show how guiding principles of topological matter such as the bulk boundary correspondence are qualitatively changed in the NH realm.