Obiettivo One of the major challenges in theoretical physics is the development of systematic methods for describing and simulating quantum many body systems with strong interactions. Given the huge experimental progress and technological potential in manipulating strongly correlated atoms and electrons, there is a pressing need for such a better theory.The study of quantum entanglement holds the promise of being a game changer for this question. By mapping out the entanglement structure of the low-energy wavefunctions of quantum spin systems on the lattice, the prototypical example of strongly correlated systems, we have found that the associated wavefunctions can be very well modeled by a novel class of variational wavefunctions, called tensor network states. Tensor networks are changing the ways in which strongly correlated systems can be simulated, classified and understood: as opposed to the usual many body methods, these tensor networks are generic and describe non-perturbative effects in a very natural way.The goal of this proposal is to advance the scope and use of tensor networks in several directions, both from the numerical and theoretical point of view. We plan to study the differential geometric character of the manifold of tensor network states and the associated nonlinear differential equations of motion on it, develop post tensor network methods in the form of effective theories on top of the tensor network vacuum, study tensor networks in the context of lattice gauge theories and topologically ordered systems, and investigate the novel insights that tensor networks are providing to the renormalization group and the holographic principle.Colloquially, we believe that tensor networks and the theory of entanglement provide a basic new vocabulary for describing strongly correlated quantum systems, and the main goal of this proposal is to develop the syntax and semantics of that new language. Campo scientifico scienze naturalimatematicamatematica puraanalisi matematicaequazioni differenzialiscienze naturaliscienze chimichechimica fisicachimica quantisticascienze naturaliscienze fisichefisica quantisticateoria quantistica dei campiscienze naturalimatematicamatematica puraalgebrascienze naturaliscienze fisichefisica teoreticateoria delle stringhe Programma(i) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Argomento(i) ERC-CoG-2014 - ERC Consolidator Grant Invito a presentare proposte ERC-2014-CoG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-COG - Consolidator Grant Coordinatore UNIVERSITEIT GENT Contribution nette de l'UE € 1 927 500,00 Indirizzo Sint pietersnieuwstraat 25 9000 Gent Belgio Mostra sulla mappa Regione Vlaams Gewest Prov. Oost-Vlaanderen Arr. Gent Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Altri finanziamenti € 0,00 Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo netto dell'UE Espandi tutto Riduci tutto UNIVERSITEIT GENT Belgio Contribution nette de l'UE € 1 927 500,00 Indirizzo Sint pietersnieuwstraat 25 9000 Gent Mostra sulla mappa Regione Vlaams Gewest Prov. Oost-Vlaanderen Arr. Gent Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Altri finanziamenti € 0,00
