Obiettivo Interactions in a many body quantum system are encoded in a Hamiltonian, where the physical intuition that particles can only interact with those which are closeby is formally imposed as a local structure in the Hamiltonian, and homogeneity in space is imposed by a translational invariant structure on a given regular lattice in one, two or three dimensions. The first main aim of this proposal is to characterize the existence of a uniform (with the system size) lower bound on the gap between the two lowest eigenvalues of a given local translational invariant Hamiltonian.There are many reasons which motivate this study, coming from different fields, and hence many potential applications. We will concentrate here on those coming from quantum information theory and from condensed matter physics and mainly, as the second main aim of this proposal, on classifying the different possible quantum phases arising in this type of models. Campo scientifico natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencescomputer and information sciencescomputer securitycryptographynatural sciencesphysical sciencesquantum physicsquantum field theorynatural sciencescomputer and information sciencesartificial intelligencemachine learningnatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Parole chiave Spectrum of quantum Hamiltonians classification of quantum phases locally interacting quantum spin systems dissipation in quantum systems computability tensor networks 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 Istituzione ospitante UNIVERSIDAD COMPLUTENSE DE MADRID Contribution nette de l'UE € 1 462 750,00 Indirizzo AVENIDA DE SENECA 2 28040 Madrid Spagna Mostra sulla mappa Regione Comunidad de Madrid Comunidad de Madrid Madrid 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 Costo totale € 1 462 750,00 Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo netto dell'UE Espandi tutto Riduci tutto UNIVERSIDAD COMPLUTENSE DE MADRID Spagna Contribution nette de l'UE € 1 462 750,00 Indirizzo AVENIDA DE SENECA 2 28040 Madrid Mostra sulla mappa Regione Comunidad de Madrid Comunidad de Madrid Madrid 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 Costo totale € 1 462 750,00
