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Crossover from 2D to 3D in a Weakly Interacting Fermi Gas

Crossover from 2D to 3D in a Weakly Interacting Fermi Gas

We have studied the transition from two to three dimensions in a low temperature weakly interacting $^6$Li Fermi gas. Below a critical atom number, $N_{2D}$, only the lowest transverse vibrational state of a highly anisotropic oblate trapping potential is occupied and the gas is two-dimensional. Above $N_{2D}$ the Fermi gas …