Objective The complex interplay between Coulomb repulsion and Fermi statistics in two dimensional systems is responsible for some of the most dramatic phenomena encountered in solid state physics (High critical temperature superfluidity, Fractional Quantum Hall Effect,..). However, despite decades of efforts, many questions regarding these systems are still unsolved. In FERLODIM, we plan to take advantage of recent progress in ultracold gases, to simulate several fundamental Hamiltonians describing these many-body systems in 1 and 2 dimensions. We will realize two ultra-cold atom machines allowing for a full characterization of the many-body wave function of an ensemble of interacting fermions in periodic potentials, called optical lattices. Our experiments will rely on a high resolution imaging system allowing both for single atom detection and the possibility of tailoring optical potentials of arbitrary shape and geometry. This unique design will allow us to address a variety of physical situations, depending on the geometry of the light induced potentials. One-dimensional problems will be addressed, from spin chains to Luttinger liquids. In pure two dimensional configurations, we will investigate the link between the repulsive Hubbard model, superfluidity and the Mott insulator transition, as well as frustration effects in periodic potentials. Finally we will explore the physics of interacting fermions under rotation in the lowest Landau level, and the connection with fractional Quantum Hall systems. Fields of science natural sciencesphysical sciencestheoretical physicsparticle physicsfermionsnatural sciencesphysical sciencescondensed matter physicssolid-state physicsnatural sciencesmathematicspure mathematicsgeometry Keywords Fermionic superfluidity Laser and laser physics optical lattices ultracold gases 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-AG-PE2 - ERC Advanced Grant - Fundamental constituents of matter Call for proposal ERC-2008-AdG See other projects for this call Funding Scheme ERC-AG - ERC Advanced Grant Host institution CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS EU contribution € 2 050 000,00 Address RUE MICHEL ANGE 3 75794 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Principal investigator Christophe Salomon (Dr.) Administrative Contact Louis Avigdor (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data Beneficiaries (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS France EU contribution € 2 050 000,00 Address RUE MICHEL ANGE 3 75794 Paris See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations Principal investigator Christophe Salomon (Dr.) Administrative Contact Louis Avigdor (Mr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data