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- W2004164547 abstract "We consider a time-dependent nonlinear Schrodinger equation in one dimension (1D) with a fifth-order interaction term and external harmonic confinement, as a model for both (i) a Bose gas with hard-core contact interactions in the local-density approximation, and (ii) a spin-polarized Fermi gas in the collisional regime. We evaluate analytically in the Thomas-Fermi limit the density fluctuation profiles and the collective excitation frequencies, and compare the results for the low-lying modes with those obtained from numerical solution of the Schrodinger equation. We find that the excitation frequencies are multiples of the harmonic-trap frequency even in the strong-coupling Thomas-Fermi regime. This result shows that the hydrodynamic and the collisionless collective spectra coincide in the harmonically confined 1D Fermi gas, as they do for sound waves in its homogeneous analog. It also shows that in this case the local-density theory reproduces the exact collective spectrum of the hard-core Bose gas under harmonic confinement." @default.
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- W2004164547 date "2001-08-13" @default.
- W2004164547 modified "2023-09-26" @default.
- W2004164547 title "Hydrodynamic excitations in a spin-polarized Fermi gas under harmonic confinement in one dimension" @default.
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- W2004164547 doi "https://doi.org/10.1103/physreva.64.033605" @default.
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