Description du projet
Étude de la topologie non hermitienne dans les systèmes quantiques ouverts et corrélés
La non-herméticité est essentielle dans l’étude des systèmes quantiques ouverts et corrélés. Ces dernières années, celle-ci a été étudiée dans le contexte de la topologie en mettant l’accent sur les dégénérescences véritablement non hermitiennes (NH) connues sous le nom de points exceptionnels (PE). Les valeurs propres et les vecteurs propres convergent au niveau de ces PE, ce qui entraîne des phénomènes tels que la transmission unidirectionnelle et la visibilité unilatérale. Financé par le Conseil européen de la recherche, le projet NTopQuant se propose d’étudier le rôle des phases nodales exceptionnelles dans les systèmes quantiques ouverts et corrélés. Il étudiera en outre les PE dans les systèmes optiques non linéaires avec une nouvelle approche de dispositif unique ainsi que l’application de la non-herméticité aux matériaux moirés. Dirigé par un expert renommé en topologie NH, NTopQuant apporter offrir de nouvelles et passionnantes perspectives sur les effets NH dans les systèmes quantiques ouverts et corrélés.
Objectif
Non-Hermiticity plays a central role in describing open systems, which in recent years has been investigated in the context of topology revealing a dramatic enrichment of the phenomenology of topological phases. A particular focus has been on the appearance of truly non-Hermitian (NH) degeneracies known as exceptional points (EPs) at which not only the eigenvalues but also the eigenvectors coalesce. In their most elementary form, EPs reveal intriguing phenomena, such as unidirectional transmission, and one-sided visibility. Due to the novelty of the field, research has only recently started to dive into the topic of higher-order EPs, and the importance of EPs beyond classical systems. NTopQuant elucidates the role played by exceptional nodal phases in open and correlated quantum systems by providing a new perspective on open quantum materials.
NTopQuant not only paves the way towards gaining profound insights into the properties of higher-order exceptional nodal phases, but also expands our understanding of open and correlated quantum systems. Making connection to experiment, NTopQuant studies nonlinear optical systems in close collaboration with experimentalists at the host institute. While EPs are typically realized in coupled systems, we focus on single devices thus proposing a new path towards studying EPs in optical systems. Equally relevant for experiment are Moiré materials, which are powerful quantum simulators realizing exotic strongly correlated phases. NTopQuant investigates these materials in their open form, which not only results in a new research direction but also paves the way towards studying NH effects in strongly correlated systems in the lab.
The PI is considered an expert in NH topology, and the host institute offers a vibrant scientific environment. As such, they form the perfect combination for carrying out this highly interdisciplinary research program with the goal to establish a novel perspective on open and correlated quantum systems.
Champ scientifique
Programme(s)
- HORIZON.1.1 - European Research Council (ERC) Main Programme
Thème(s)
Régime de financement
HORIZON-ERC - HORIZON ERC GrantsInstitution d’accueil
80539 Munchen
Allemagne