Physique De La Matière Condensée

Antoine GeorgesPhysique de la matière condenséeAnnée 2024-2025Colloque : Recent Advances and Applications of Diagrammatic Monte Carlo for FermionsKris van Houcke : Summing Feynman Diagrams for Cold Atomic Fermi GasesKris van HouckeLaboratoire de Physique de l'ENSRésuméDiagrammatic Monte Carlo (DiagMC) is a versatile numerical technique capable of solving strongly correlated fermion systems in a controlled and accurate way. The core idea behind the technique is to sum all connected Feynman diagrams in a systematic way up to high order. In this talk, I will present some key results that have been obtained for the BEC-BCS crossover and the attractive Hubbard model. These results are directly relevant to experiments on ultra-cold fermionic atoms.In particular, I will discuss the unitary Fermi gas, a model of spin-1/2 fermions in three-dimensional continuous space and a prototypical example of a strongly correlated fermionic system. Despite the fact that the diagrammatic series has a vanishing radius of convergenc