Objective "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." Fields of science natural sciencesphysical sciencesquantum physicsnatural sciencesphysical sciencestheoretical physics Programme(s) 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) Topic(s) ERC-SG-PE2 - ERC Starting Grant - Fundamental constituents of matter Call for proposal ERC-2011-StG_20101014 See other projects for this call Funding Scheme ERC-SG - ERC Starting Grant Host institution SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE EU contribution € 790 572,35 Address VIA BONOMEA 265 34136 Trieste Italy See on map Region Nord-Est Friuli-Venezia Giulia Trieste Activity type Higher or Secondary Education Establishments Administrative Contact Gabriele Rizzetto (Mr.) Principal investigator Pasquale Calabrese (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (2) Sort alphabetically Sort by EU Contribution Expand all Collapse all SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE Italy EU contribution € 790 572,35 Address VIA BONOMEA 265 34136 Trieste See on map Region Nord-Est Friuli-Venezia Giulia Trieste Activity type Higher or Secondary Education Establishments Administrative Contact Gabriele Rizzetto (Mr.) Principal investigator Pasquale Calabrese (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data UNIVERSITA DI PISA Participation ended Italy EU contribution € 317 427,65 Address LUNGARNO PACINOTTI 43/44 56126 Pisa See on map Region Centro (IT) Toscana Pisa Activity type Higher or Secondary Education Establishments Administrative Contact Francesco Fidecaro (Prof.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
