Evolution of Fermion Pairing from Three to Two Dimensions

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Abstract
We follow the evolution of fermion pairing in the dimensional crossover from 3D to 2D as a strongly interacting Fermi gas of $^6$Li atoms becomes confined to a stack of two-dimensional layers formed by a one-dimensional optical lattice. Decreasing the dimensionality leads to the opening of a gap in radiofrequency spectra, even on the BCS-side of a Feshbach resonance. With increasing lattice depth, the measured binding energy \eb{} of fermion pairs increases in surprising agreement with mean-field theory for the BEC-BCS crossover in two dimensions.

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