Project description DEENESFRITPL Studying stochastic processes and many-body phenomena in physics using analogue polariton simulators Cavity polaritons, a mixture between light and electronic excitations of matter, are obtained by trapping both light and electrons in small cavities. When these cavities are assembled into lattices, polaritons demonstrate complex physical properties. The EU-funded ANAPOLIS project aims to use polariton lattices to explore three major problems of modern physics: phase fluctuation phenomena in polariton condensates, nonlinear topology and quantum magnetism. ANAPOLIS opens the door to the simulation of a large class of systems subject to external drive and dissipation. Project results will offer unique opportunities to address stochastic phenomena, nonlinear and many-body physics in a driven-dissipative context. Show the project objective Hide the project objective Objective Many physical systems in nature must be described using a huge number of coupled degrees of freedom. Treating these problems on a classical computer leads to computation times growing exponentially with the system size. Analog simulators are well-controlled systems to which a complex problem can be mapped, and from which the physics can be experimentally readout.Here, we want to develop powerful analog simulators based on semiconductor cavity polaritons, light-matter quasi-particles that have appeared as a versatile platform to explore the physics of bosonic open systems. Using the fine control we now have in polariton lattices, ANAPOLIS opens the door to the simulation of a large class of systems subject to external drive and dissipation, a regime hardly explored in other platforms. Out-of-equilibrium condensation, giant Kerr non-linearity, optical driving of steady-states are the ingredients we will use in ANAPOLIS to explore three scientific objectives:1.We will study phase fluctuations in polariton condensates and map the system to the Kardar-Parisi-Zhang equation, which describes many dynamical nonlinear systems. In 2D, solving this equation is a challenge raising open questions that no experimental platform has addressed so far.2.We will resonantly drive polariton lattices with elaborate phase patterns to simulate the physics of charged particles in a magnetic field. Optically inducing complex valued hoppings, we will tailor topological properties for the Bogoliubov excitations, and explore non-linear physics on top of a topological superfluid. 3.We will use cavity lattices under quadratic drive to emulate the physics of the quantum transverse Ising model in a driven-dissipative context. We will use this simulator to find the steady state of the system and explore quantum magnetism and dissipative phase transitions.ANAPOLIS will provide unique opportunities to address stochastic phenomena, nonlinear and many body physics in a driven-dissipative context. Fields of science natural sciencesphysical sciencesquantum physicsnatural sciencesphysical scienceselectromagnetism and electronicssemiconductivitynatural sciencesphysical sciencesopticsnonlinear optics Keywords Exciton polaritons KPZ physics Topology Programme(s) HORIZON.1.1 - European Research Council (ERC) Main Programme Topic(s) ERC-2021-ADG - ERC ADVANCED GRANTS Call for proposal ERC-2021-ADG See other projects for this call Funding Scheme ERC - Support for frontier research (ERC) Coordinator CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS Net EU contribution € 2 500 000,00 Address Rue michel ange 3 75794 Paris France See on map Region Ile-de-France Ile-de-France Paris Activity type Research Organisations 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 Other funding € 0,00