Descripción del proyecto
Análisis de la topología no hermitiana en sistemas cuánticos abiertos y correlacionados
La no hermiticidad es básica en el estudio de sistemas cuánticos abiertos y correlacionados. En los últimos años, se ha estudiado en el contexto de la topología centrándose en las degeneraciones verdaderamente no hermitianas, conocidas como puntos excepcionales. En estos puntos excepcionales, los valores y vectores propios convergen, dando lugar a fenómenos como la transmisión unidireccional y la visibilidad unilateral. En el proyecto NTopQuant, financiado por el Consejo Europeo de Investigación, se examinará el papel de las fases nodales excepcionales en sistemas cuánticos abiertos y correlacionados. Además, se estudiarán los puntos excepcionales en sistemas ópticos no lineales, con un novedoso enfoque de dispositivo único, así como la aplicación de la no hermiticidad a los materiales Moiré. El objetivo de NTopQuant, dirigido por un reputado experto en topología no hermitiana, es ofrecer nuevas e interesantes perspectivas sobre los efectos no hermitianos en sistemas cuánticos abiertos y correlacionados.
Objetivo
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.
Ámbito científico
Programa(s)
- HORIZON.1.1 - European Research Council (ERC) Main Programme
Régimen de financiación
HORIZON-ERC - HORIZON ERC GrantsInstitución de acogida
80539 Munchen
Alemania