Objectif Topological phases arise from a fascinating interplay between quantum mechanics and many-body physics. They exhibit an abundance of extraordinary properties, such as protected edge and surface modes, exotic particle statistics, and non-local correlations. These make them not only scientifically stimulating, but also appealing for ground-breaking future applications, such as quantum computing using non-Abelian systems. Their subtle nature often renders them hard to study theoretically, and even more so to detect and control experimentally. To date, only a small subset of them has been accessed in experiments. The purpose of this research program is to expand the scope of possible realizations of topological quantum matter, and to develop methods to detect, control and manipulate them. Two main research directions will be considered. The first will focus on utilizing defects to synthesize new non-Abelian systems. We will study the mathematical theory describing the defects, starting from microscopic considerations and aiming to achieve a unifying mathematical framework. New non-Abelian phases arising in networks of coupled defects will be explored. Protocols for controlling non-Abelian anyons and zero modes will be developed and optimized, aiming to minimize errors arising from imperfections in physical implementations. The second direction will explore the exciting possibility of inducing topological behaviour in non-equilibrium systems. Periodically driven systems, such as matter interacting with light, can exhibit anomalous topological phenomena with no analogue in static systems, which we intend to reveal and classify. We will study the unique many body physics arising from the interplay of topological Bloch-Floquet band structures, inter-particle interactions, and coupling to the environment. Finally, for both research directions we will consider possible experimental realizations in a variety of solid state and cold atom systems along with designated probes. Champ scientifique natural sciencesphysical scienceselectromagnetism and electronicselectromagnetismnatural sciencesphysical sciencesquantum physicsnatural sciencesmathematicspure mathematicstopologynatural sciencesphysical sciencesatomic physicsnatural sciencesphysical sciencestheoretical physicsparticle physicsphotons Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Thème(s) ERC-StG-2014 - ERC Starting Grant Appel à propositions ERC-2014-STG Voir d’autres projets de cet appel Régime de financement ERC-STG - Starting Grant Institution d’accueil TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Contribution nette de l'UE € 1 463 666,27 Adresse SENATE BUILDING TECHNION CITY 32000 Haifa Israël Voir sur la carte Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 1 463 666,27 Bénéficiaires (2) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire TECHNION - ISRAEL INSTITUTE OF TECHNOLOGY Israël Contribution nette de l'UE € 1 463 666,27 Adresse SENATE BUILDING TECHNION CITY 32000 Haifa Voir sur la carte Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 1 463 666,27 WEIZMANN INSTITUTE OF SCIENCE Participation terminée Israël Contribution nette de l'UE € 36 333,73 Adresse HERZL STREET 234 7610001 Rehovot Voir sur la carte Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 36 333,73
