Description du projet
La recherche de ruptures de symétries met en lumière les phases de la matière quantique
Les systèmes quantiques à plusieurs corps en interaction montrent des symétries, ce qui aide les chercheurs à mieux comprendre leurs mécanismes internes. Cependant, en physique quantique, ces symétries ne sont pas toujours réalisées. L’effet Hall quantique fractionnaire a mis en évidence des structures internes qui représentent un tout nouveau type d’ordonnancement. L’objectif du projet SEQUAM, financé par l’UE, est de développer un cadre de symétrie complet pour étudier des systèmes quantiques à plusieurs corps, qui repose sur la structure de leur intrication. À l’aide de réseaux de tenseurs, les chercheurs étudieront les structures de symétrie physique des systèmes quantiques et l’ordre d’intrication qui en résulte. Les résultats de SEQUAM permettront de mieux comprendre les phases non conventionnelles observées dans la matière quantique.
Objectif
Symmetries are at the heart of quantum many-body phenomena in quantum chemistry, condensed matter, and high energy physics. They govern the structure of physical laws, and explain different phases through the mechanism of symmetry breaking. The discovery of novel unconventional phases such as the fractional quantum Hall effect has challenged this view: These phases instead display a global ordering in their entanglement, hindering a characterization in terms of local symmetries.
The goal of my project is to develop a comprehensive symmetry-centered framework for the study of quantum many-body systems across physics, based on the structure of their entanglement. It is placed at the interface between Quantum Information and Quantum Many-Body Physics, and uses the language of Tensor Networks which allows to reconcile locality with global entanglement. Our starting point is the physical symmetry structure of the system of interest. Using Tensor Networks, we move to entanglement space, where we classify the symmetries in the entanglement induced by the physical symmetries, and the way in which the entanglement orders under those symmetries – the entanglement phase. By mapping back to the physical space, we can study the ways in which the entanglement order manifests physically, and obtain a spectrum of powerful analytical, numerical, and experimental probes for unconventional phases. We will apply this framework to a wide range of systems which appear in condensed matter and high energy physics, or are realizable in quantum simulators e.g. with cold gases.
The results of the project will give a unified understanding of unconventional phases, based on physical symmetries and the resulting entanglement order. It will yield their physical manifestations, numerical probes for their detection, and simple ways to realize and probe these models in experimental scenarios, and thus significantly advance our ability to understand, study, and realize complex quantum phases.
Champ scientifique
Mots‑clés
Programme(s)
Régime de financement
ERC-COG - Consolidator GrantInstitution d’accueil
1010 Wien
Autriche