Descrizione del progetto
Esplorare la topologia non hermitiana nei sistemi quantistici aperti e correlati
La non hermitianità, fondamentale nello studio dei sistemi quantistici aperti e correlati, è stata studiata negli ultimi anni nel contesto della topologia prestando particolare attenzione alle degenerazioni veramente non hermitiane, note come punti eccezionali. In corrispondenza di questi punti, gli autovalori e gli autovettori convergono dando luogo a fenomeni quali la trasmissione unidirezionale e la visibilità unilaterale. Finanziato dal Consiglio europeo della ricerca, il progetto NTopQuant esplorerà il ruolo svolto dalle fasi nodali eccezionali nei sistemi quantistici aperti e correlati. Inoltre, il progetto analizzerà i punti eccezionali nei sistemi ottici non lineari adottando un nuovo approccio a dispositivo singolo e applicando la non hermitianità ai materiali Moiré. Guidato da un rinomato esperto di topologia non hermitiana, NTopQuant si propone di offrire nuovi ed entusiasmanti approfondimenti sugli effetti non hermitiani nei sistemi quantistici aperti e correlati.
Obiettivo
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.
Campo scientifico
Programma(i)
- HORIZON.1.1 - European Research Council (ERC) Main Programme
Argomento(i)
Meccanismo di finanziamento
HORIZON-ERC - HORIZON ERC GrantsIstituzione ospitante
80539 Munchen
Germania