Quasi-two-dimensional Fermi gases at finite temperature

Abstract

We consider a Fermi gas with short-range attractive interactions that is confined along one direction by a tight harmonic potential. For this quasi-two-dimensional (quasi-2D) Fermi gas, we compute the pressure equation of state, radio frequency spectrum, and the superfluid critical temperature $T_c$ using a mean-field theory that accounts for all the energy levels of the harmonic confinement. Our calculation for $T_c$ provides a natural generalization of the Thouless criterion to the quasi-2D geometry, and it correctly reduces to the 3D expression derived from the local density approximation in the limit where the confinement frequency ${\omega }_z\to 0$. Furthermore, our results suggest that $T_c$ can be enhanced by relaxing the confinement and perturbing away from the 2D limit.

8 pages, 4 figures

References in corpus (7)

• The electronic properties of graphene
• Many-Body Physics with Ultracold Gases
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Observation of a two-dimensional Fermi gas of atoms
• Crossover from 2D to 3D in a weakly interacting Fermi gas
• Radio frequency spectra of Feshbach molecules in quasi-two dimensional geometries
• Pairing and radio-frequency spectroscopy in two-dimensional Fermi gases

Cited by in corpus (4)

• Observation of pair condensation in the quasi-2D BEC-BCS crossover
• Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
• Observing Spatial Charge and Spin Correlations in a Strongly-Interacting Fermi Gas
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases