Objective One of our dreams for the future is to control and manipulate complex materials and devices at will. This progress would revolutionize technology and influence many aspects of our everyday life. A promising direction is the control of material properties by electromagnetic radiation leading to photo-induced phase transitions. An example of such a transition is the reported dynamically induced superconductivity via a laser pulse. Whereas the theoretical description of the coupling of fermions to bosonic modes in equilibrium has seen enormous progress and explains highly non-trivial phenomena as the phonon-induced superconductivity, driven systems pose many puzzles. In addition to the inherent time-dependence of the external driving field, a multitude of possible excitation and relaxation mechanisms challenge the theoretical understanding. Recently in the field of quantum optics, a much cleaner realization of a photo-induced phase transition, the Dicke transition, has been observed for bosonic quantum gases loaded in an optical cavity. Above a critical pump strength of an external laser field, the ensemble undergoes a transition to an ordered phase. We aim to advance the general theoretical understanding of photo-induced phase transitions both in the field of solid state physics and quantum optics. In particular, we will focus on the design and investigation of photo-induced transitions to unconventional superconductivity and non-trivial topological phases. Our insights will be applied to fermonic quantum gases in optical cavities and solid state materials. In order to treat these systems efficiently, we will develop new variants of the numerical density matrix renormalization group (or also called matrix product state) methods and combine these with analytical approaches. Fields of science natural sciencesphysical sciencescondensed matter physicssolid-state physicsnatural sciencesphysical sciencesquantum physicsquantum opticsnatural sciencesphysical sciencescondensed matter physicsquantum gasesnatural sciencesphysical sciencesopticslaser physicsnatural sciencesphysical scienceselectromagnetism and electronicssuperconductivity Programme(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Topic(s) ERC-CoG-2014 - ERC Consolidator Grant Call for proposal ERC-2014-CoG See other projects for this call Funding Scheme ERC-COG - Consolidator Grant Host institution RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN Net EU contribution € 1 486 973,00 Address REGINA PACIS WEG 3 53113 Bonn Germany See on map Region Nordrhein-Westfalen Köln Bonn, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 1 486 973,00 Beneficiaries (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN Germany Net EU contribution € 1 486 973,00 Address REGINA PACIS WEG 3 53113 Bonn See on map Region Nordrhein-Westfalen Köln Bonn, Kreisfreie Stadt Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 1 486 973,00