Obiettivo "It is nowadays well established that many-body quantum systems in one and two spatial dimensions exhibit unconventional collective behavior that gives rise to intriguing novel states of matter. Examples are topological states exhibiting nonabelian statistics in 2D and spin-charge separated metals and Mott insulators in 1D. An important focus of current research is to characterize both equilibrium and non-equilibrium dynamics of such systems. The latter has become experimentally accessible only during the last decade and constitutes one of the main frontiers of modern theoretical physics. In recent years it has become clear that entanglement is a useful concept for characterizing different states of matter as well as non-equilibrium time evolution.One main aim of this proposal is to utilize entanglement measures to fully classify states of matter in low dimensional systems. This will be achieved by carrying out a systematic study of the entanglement of several disconnected regions in 1D quantum critical systems. In addition, entanglement measures will be used to benchmark the performance of numerical algorithms based on tensor network states (both in 1D and 2D) and identify the ""optimal"" algorithm for finding the ground state of a given strongly correlated many-body system.The second main aim of this proposal is to utilize the entanglement to identify the most important features of the the non equilibrium time evolution after a ""quantum quench"", with a view to solve exactly the quench dynamics in strongly interacting integrable models. A particular question we will address is which observables ""thermalize"", which is an issue of tremendous current experimental and theoretical interest. By combining analytic and numerical techniques we will then study the non equilibrium dynamics of non integrable models, in order to quantify the effects of integrability." Campo scientifico scienze naturaliscienze fisichefisica quantisticascienze naturaliscienze fisichefisica teoretica Programma(i) FP7-IDEAS-ERC - Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Argomento(i) ERC-SG-PE2 - ERC Starting Grant - Fundamental constituents of matter Invito a presentare proposte ERC-2011-StG_20101014 Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-SG - ERC Starting Grant Coordinatore SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Indirizzo Via bonomea 265 34136 Trieste Italia Mostra sulla mappa Regione Nord-Est Friuli-Venezia Giulia Trieste Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Gabriele Rizzetto (Mr.) Ricercatore principale Pasquale Calabrese (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Contributo UE Nessun dato Beneficiari (2) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Italia Contributo UE € 790 572,35 Indirizzo Via bonomea 265 34136 Trieste Mostra sulla mappa Regione Nord-Est Friuli-Venezia Giulia Trieste Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Gabriele Rizzetto (Mr.) Ricercatore principale Pasquale Calabrese (Dr.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Altri finanziamenti Nessun dato UNIVERSITA DI PISA Partecipazione conclusa Italia Contributo UE € 317 427,65 Indirizzo Lungarno pacinotti 43/44 56126 Pisa Mostra sulla mappa Regione Centro (IT) Toscana Pisa Tipo di attività Higher or Secondary Education Establishments Contatto amministrativo Francesco Fidecaro (Prof.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Altri finanziamenti Nessun dato
