Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-01-22
Phys. Rev. A 79, 023615 (2009)
Physics
Condensed Matter
Other Condensed Matter
9 pages, 5 figures, editorially approved for publication on Phys. Rev. A
Scientific paper
10.1103/PhysRevA.79.023615
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 $\mu$ of the fermionic fluid as a function of the uniform planar density $\rho$ and find that $\mu$ 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 $c^{0}_s$ of the zero sound. We find that also $c^0_s$ 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.
Mazzarella Giovanni
Salasnich Luca
Toigo Flavio
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