Pietilä, VillePekker, DavidNishida, YusukeDemler, Eugene2019-09-262012Pietilä, Ville, David Pekker, Yusuke Nishida, and Eugene Demler. 2012. “Pairing Instabilities in Quasi-Two-Dimensional Fermi Gases.” Physical Review A 85 (2). https://doi.org/10.1103/physreva.85.023621.1050-29471094-1622http://nrs.harvard.edu/urn-3:HUL.InstRepos:41412116We study nonequilibrium dynamics of ultracold two-component Fermi gases in low-dimensional geometries after the interactions are quenched from a weakly interacting to a strongly interacting regime. We develop a T-matrix formalism that takes into account the interplay between Pauli blocking and tight confinement in low-dimensional geometries. We employ our formalism to study the formation of molecules in quasi-two-dimensional Fermi gases near Feshbach resonance and show that the rate at which molecules form depends strongly on the transverse confinement. Furthermore, Pauli blocking gives rise to a sizable correction to the binding energy of molecules.en-USJournal Article2019-09-2610.1103/PhysRevA.85.023621