Objetivo A paradigm example of precise predictions in complex systems is the universal scaling of correlation functions close to phase transitions, with their associated critical exponents. The extension of this concept to time dependent problems has been studied in the classical regime as well as in the quantum regime. A clean experimental confirmation of this prediction in a quantum system as well as of its connection to non-local entanglement generation is the defined goal of this project.The experimental system builds on atomic Bose-Einstein condensates with precisely controlled internal degrees of freedom. Their physics can be mapped onto extensively studied spin systems in the large-collective-spin limit. While the mean evolution of these large spins is well captured by classical descriptions, the detailed study of the fluctuations can reveal particle entanglement. The technology for such high-precision measurements has been pioneered by the PI, demonstrating entanglement in spin-squeezed as well as non-gaussian entangled states.In this project one-dimensional gases will be realized allowing for the implementation of a spin system revealing a quantum phase transition. While the spatial spin-spin correlation functions can already be detected, the future experimental development concerns the implementation of non-demolition/weak measurements of the spin degree of freedom. This makes time-time and time-space correlation functions for the first time accessible, as a necessary prerequisite for the envisaged studies of universal dynamics out of equilibrium and the experimental confirmation of non-local entanglement. Observation of scale invariance in the then available full correlation landscape will allow the verification of the presence of a non-thermal fixed point.The successful demonstration will lead to a paradigm shift in the description of quantum dynamics in complex systems and will also open up new routes for generating quantum resources for quantum metrology. Ámbito científico natural sciencesphysical sciencesquantum physicsnatural sciencesearth and related environmental sciencesenvironmental sciencesnatural sciencesphysical sciencescondensed matter physicsbose-einstein condensates Programa(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Tema(s) ERC-ADG-2015 - ERC Advanced Grant Convocatoria de propuestas ERC-2015-AdG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-ADG - Advanced Grant Institución de acogida RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG Aportación neta de la UEn € 2 390 000,00 Dirección SEMINARSTRASSE 2 69117 Heidelberg Alemania Ver en el mapa Región Baden-Württemberg Karlsruhe Heidelberg, Stadtkreis Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 2 390 000,00 Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo RUPRECHT-KARLS-UNIVERSITAET HEIDELBERG Alemania Aportación neta de la UEn € 2 390 000,00 Dirección SEMINARSTRASSE 2 69117 Heidelberg Ver en el mapa Región Baden-Württemberg Karlsruhe Heidelberg, Stadtkreis Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 2 390 000,00