Obiettivo Quantum field theories, quantum systems with an infinite number of degrees of freedom, present the most subtle and complex systems in physics. At the same time, the study of quantum field theory has provided us with some of the most powerful theoretical tools to study many particle quantum systems. Many of the major insights in this theory have been obtained using the powerful technology of perturbation theory, whereas a main source of nonperturbative results has been lattice gauge theory. The variational principle has not met with as much systematic success in explaining these systems due to the dearth of good variational wavefunctions.In condensed matter physics we have recently witnessed tremendous progress, spurred by developments in quantum information theory, in understanding the properties of physical states of strongly interacting many particle quantum systems. This has culminated in the realisation that the physics of low-dimensional systems is well captured by variational classes known as matrix product states, projected entangled-pair states, and the multiscale entanglement renormalisation ansatz. Very recently a continuum generalisation of the matrix product state variational class has been developed which promises to afford, via the variational principle, new insights into the behaviour of strongly interacting quantum field theory.The purpose of this proposal is to: (a) understand how to use the variational principle to simulate the dynamics, both imaginary and real-time, of (1+1)- and higher-dimensional quantum field theories within the continuum matrix product state variational class; (b) extend the recent theoretical advances in the field of locally interacting quantum spin systems to study the correlation structure of equilibrium and non-equilibrium quantum fields; and (c) relate the developed formalism to cavity QED and hence develop experimental proposals to simulate strongly interacting quantum field theories with cavity QED systems. Campo scientifico natural sciencesphysical sciencesquantum physicsquantum field theory 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 Istituzione ospitante GOTTFRIED WILHELM LEIBNIZ UNIVERSITAET HANNOVER Contributo UE € 1 343 219,10 Indirizzo WELFENGARTEN 1 30167 Hannover Germania Mostra sulla mappa Regione Niedersachsen Hannover Region Hannover Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Tobias Osborne (Prof.) Contatto amministrativo Elke Buchholz (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo UE Espandi tutto Riduci tutto GOTTFRIED WILHELM LEIBNIZ UNIVERSITAET HANNOVER Germania Contributo UE € 1 343 219,10 Indirizzo WELFENGARTEN 1 30167 Hannover Mostra sulla mappa Regione Niedersachsen Hannover Region Hannover Tipo di attività Higher or Secondary Education Establishments Ricercatore principale Tobias Osborne (Prof.) Contatto amministrativo Elke Buchholz (Ms.) Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Costo totale Nessun dato