Non-Hermitian topological phenomena

Research Group Flore Kunst

Welcome to the Lise Meitner Research Group non-Hermitian topological phenomena

In our Lise Meitner Research Group “Non-Hermitian Topological Phenomena”, we study the topological features of non-Hermitian systems. While most theoretical research focusses on studying systems isolated from their surroundings, we take a more realistic perspective by taking environmental effects such as gain and loss of energy explicitly into account. As a consequence, we arrive at so-called non-Hermitian descriptions. This approach is highly relevant to quantum optics, electronics, mechanical metamaterials, nonconservative biological systems as well as quantum systems, to name a few. In recent years, non-Hermiticity has been investigated in the context of topology, which is a branch of mathematics describing properties that can only change step-wise and which has found many applications in physics. Adding the ingredients of non-Hermitian approaches and topology together has revealed a dramatic enrichment of the phenomenology of topological phases and resulted in a new, rapidly expanding cross-disciplinary research field. In our theory group, we focus on unraveling new trends of non-Hermitian topology in open and correlated quantum systems. We not only develop new theories and approaches but also actively collaborate with experimental partners. Our research is supported through the Lise Meitner Excellence Program 2.0 of the Max Planck Society as well as the ERC Starting Grant “NTopQuant”.

Exceptional non-Hermitian topology

Non-Hermiticity plays a central role in both classical and quantum systems. Classically, this  arises, for example, from gain and loss processes in optics, while in the quantum realm, non-Hermiticity describes both the dynamics of open quantum systems  and, scattering and decay due to phenomena such as interactions and disorder. Investigating non-Hermiticity through the lens of topology has resulted in the new exciting research field of non-Hermitian topology, as described in this review paper. Research in this area has so far mostly focussed on the classical domain. However, the goal of our group is to study non-Hermitian topology in open and correlated quantum systems. To that end, our multidisciplinary research program focusses on four main areas: higher-order exceptional points and symmetries, open quantum systems, strongly correlated systems, and (non)linear optical systems. In the context of the last of these, we actively collaborate with experimental groups at the institute,  focusing on various optical platforms.

Our Team

Contact

Lise Meitner Research Group Flore Kunst

Max Planck Institute for the Science of Light
Staudtstr. 2
91058 Erlangen, Germany

flore.kunst@mpl.mpg.de

Research group leader Dr. Flore Kunst

"We look at open and correlated quantum systems through a new lens with the aim to expand fundamental science as well as to work towards new applications."

Essential implications of similarities in non-Hermitian systems

Quantum Physics

In a very recent arXiv paper, Anton Montag shows that the key to stabilising exceptional points in lower dimensions is the presence of similarities instead of symmetries. This much weaker requirement is expected to have a wide impact on the field of non-Hermitian physics, where exceptional points protected by symmetries are often studied in experiment.

Read more

Symmetry-induced higher-order exceptional points in two dimensions

In a very recent work by Anton Montag and Flore Kunst, we present an exhaustive study of symmetry-protected higher-order exceptional points in two dimensions and show that only exceptional points of orders 3, 4 and 5 may emerge. These exceptional points always appear in pairs and depending on the symmetries are connecting by varying open Fermi structures. In a different work, Julius Gohsrich, Jacob Fauman and Flore Kunst show that exceptional points of any order, which are protected by spectral symmetry, can be engineered in generalised Hatano-Nelson models. Interestingly, the appearance of these exceptional points depends on the system size and is robust against perturbations. These two works present a complementary view on how exceptional points are protected by Hamiltonian symmetries as well as spectral symmetries.

Read more

MPL Research Centers and Schools