Collective modes of a two-dimensional spin-1/2 Fermi gas in a harmonic trap

Abstract

We derive analytical expressions for the frequency and damping of the lowest collective modes of a two-dimensional Fermi gas using kinetic theory. For strong coupling, we furthermore show that pairing correlations overcompensate the effects of Pauli blocking on the collision rate for a large range of temperatures, resulting in a rate which is larger than that of a classical gas. Our results agree well with experimental data, and they recover the observed cross-over from collisionless to hydrodynamic behaviour with increasing coupling for the quadruple mode. Finally, we show that a trap anisotropy within the experimental bounds results in a damping of the breathing mode which is comparable to what is observed, even for a scale invariant system.

8 pages, 3 figures (published version)

References in corpus (14)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Theory of ultracold Fermi gases
• Universal Quantum Viscosity in a Unitary Fermi Gas
• 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
• The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit
• Shear viscosity and damping for a Fermi gas in the unitarity limit
• Collective oscillations of a Fermi gas in the unitarity limit: Temperature effects and the role of pair correlations
• Apparent low-energy scale invariance in two-dimensional Fermi gases
• Collective Modes in a Unitary Fermi Gas across the Superfluid Phase Transition
• Frequency and damping of the Scissors Mode of a Fermi gas
• Breathing mode of two-dimensional atomic Fermi gases in harmonic traps
• Shear viscosity and spin diffusion in a two-dimensional Fermi gas

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