Cel "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." Dziedzina nauki natural sciencesphysical sciencesquantum physicsnatural sciencesphysical sciencestheoretical physics Program(-y) 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) Temat(-y) ERC-SG-PE2 - ERC Starting Grant - Fundamental constituents of matter Zaproszenie do składania wniosków ERC-2011-StG_20101014 Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-SG - ERC Starting Grant Instytucja przyjmująca SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Wkład UE € 790 572,35 Adres VIA BONOMEA 265 34136 Trieste Włochy Zobacz na mapie Region Nord-Est Friuli-Venezia Giulia Trieste Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Gabriele Rizzetto (Mr.) Kierownik naukowy Pasquale Calabrese (Dr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych Beneficjenci (2) Sortuj alfabetycznie Sortuj według wkładu UE Rozwiń wszystko Zwiń wszystko SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Włochy Wkład UE € 790 572,35 Adres VIA BONOMEA 265 34136 Trieste Zobacz na mapie Region Nord-Est Friuli-Venezia Giulia Trieste Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Gabriele Rizzetto (Mr.) Kierownik naukowy Pasquale Calabrese (Dr.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych UNIVERSITA DI PISA Zakończenie uczestnictwa Włochy Wkład UE € 317 427,65 Adres LUNGARNO PACINOTTI 43/44 56126 Pisa Zobacz na mapie Region Centro (IT) Toscana Pisa Rodzaj działalności Higher or Secondary Education Establishments Kontakt administracyjny Francesco Fidecaro (Prof.) Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Koszt całkowity Brak danych
