Objectif "Ultracold atomic gases offer flexible systems for fundamental studies of both equilibrium and non-equilibrium many-body problems that are relevant across many fields, from condensed matter physics to high-energy physics and astrophysics. In the long run, research on these systems could also lead to practical applications, in the development of novel materials, force sensing, navigation, and quantum information processing. Traditionally, an important difference between ""conventional"" many-body systems and ultracold gases has been that the former are usually spatially uniform, while the latter were produced in harmonic traps. This difference can often be addressed using the local density approximation (LDA), but for studies of some very important problems it is a serious hindrance. In particular, LDA breaks down close to phase transitions, where the correlation length diverges, and where (due to the “critical slowing down” of the system) some of the most interesting non-equilibrium effects also emerge. Here we propose a comprehensive study of both equilibrium and non-equilibrium many-body phenomena in a homogeneous 39K Bose gas with dynamically tuneable interactions. The use of a homogeneous quantum gas, produced in our newly developed box-like trapping potential (in contrast to the standard setting of a harmonic trap) is a particularly important and unique aspect of this proposal, which will allow for closer connections with both other many-body systems and the theoretical calculations. We will specifically focus on problems in beyond-mean-field physics and on those that cannot be effectively tackled using a harmonically trapped gas. The outstanding problems we will address range from the 50-year-old equilibrium problem of the critical temperature of an interacting homogeneous gas, to the modern topics of quenches and non-equilibrium (Kibble-Zurek and beyond) critical dynamics, to the largely unexplored problem of the unitary Bose gas." Champ scientifique natural sciencesphysical sciencesquantum physicsnatural sciencesphysical sciencescondensed matter physicsquantum gasesnatural sciencesphysical sciencescondensed matter physicsbose-einstein condensatesnatural sciencesphysical sciencestheoretical physicsnatural sciencesmathematicsapplied mathematicsmathematical model Mots‑clés strong correlations beyond mean-field critical behavior non-equilibrium many-body dynamics thermal and quantum quenches unitary interactions Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Thème(s) ERC-CoG-2015 - ERC Consolidator Grant Appel à propositions ERC-2015-CoG Voir d’autres projets de cet appel Régime de financement ERC-COG - Consolidator Grant Institution d’accueil THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Contribution nette de l'UE € 1 943 753,00 Adresse TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Royaume-Uni Voir sur la carte Région East of England East Anglia Cambridgeshire CC Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 1 943 753,00 Bénéficiaires (1) Trier par ordre alphabétique Trier par contribution nette de l'UE Tout développer Tout réduire THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE Royaume-Uni Contribution nette de l'UE € 1 943 753,00 Adresse TRINITY LANE THE OLD SCHOOLS CB2 1TN Cambridge Voir sur la carte Région East of England East Anglia Cambridgeshire CC Type d’activité Higher or Secondary Education Establishments Liens Contacter l’organisation Opens in new window Site web Opens in new window Participation aux programmes de R&I de l'UE Opens in new window Réseau de collaboration HORIZON Opens in new window Coût total € 1 943 753,00