Fermi Gases in the Two-Dimensional to Quasi-Two-Dimensional Crossover

Abstract

We tune the dimensionality of pancake-shaped strongly-interacting ${}^6$Li Fermi gas clouds from two-dimensional (2D) to quasi-2D, by controlling the ratio of the radial Fermi energy $E_F$ to the harmonic oscillator energy $h{\nu }_z$ in the tightly confined direction. In the 2D regime, where $E_F<<h{\nu }_z$, the measured radio frequency resonance spectra are in agreement with 2D-BCS theory. In the quasi-2D regime, where $E_F\simeq h{\nu }_z$, the measured spectra deviate significantly from 2D-BCS theory. For both regimes, the measured cloud radii disagree with 2D-BCS mean field theory, but agree approximately with predictions using a free energy derived from the Bethe-Goldstone equation.

5 pages 4 figures