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• W2023184166 abstract "We study the zero sound and the first sound in a dilute and ultracold disk-shaped normal Fermi gas with a strong harmonic confinement along the axial direction and uniform in the two planar directions. Working at zero temperature we calculate the chemical potential $ensuremath{mu}$ of the fermionic fluid as a function of the uniform planar density $ensuremath{rho}$ and find that $ensuremath{mu}$ changes its slope in correspondence to the filling of harmonic axial modes (shell effects). Within the linear response theory, and under the random phase approximation, we calculate the velocity ${c}_{s}^{0}$ of the zero sound. We find that also ${c}_{s}^{0}$ changes its slope in correspondence of the filling of the harmonic axial modes and that this effect depends on the Fermi-Fermi scattering length ${a}_{F}$. In the collisional regime, we calculate the velocity ${c}_{s}$ of first sound showing that ${c}_{s}$ displays jumps at critical densities fixed by the scattering length ${a}_{F}$. Finally, we discuss the experimental achievability of these zero sound and first sound waves with ultracold alkali-metal atoms." @default.
• W2023184166 created "2016-06-24" @default.
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• W2023184166 date "2009-02-12" @default.
• W2023184166 modified "2023-10-05" @default.
• W2023184166 title "Zero sound and first sound in a disk-shaped normal Fermi gas" @default.
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• W2023184166 doi "https://doi.org/10.1103/physreva.79.023615" @default.
• W2023184166 hasPublicationYear "2009" @default.
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