2009/09/12 by Luca Salasnich, L. Salasnich, Francesco Ancilotto +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Density functional theory #Fermi Gamma-ray Space Telescope #Fermi gas #Fermi surface #Local-density approximation #Physics #Physics of Superconductivity and Magnetism #Quadrupole #Quantum mechanics #Quantum, superfluid, helium dynamics #Superconductivity #Superfluidity #Unitary state #cond-mat.quant-gas
paper · pdf · doi:10.1002/lapl.200910107
published as Laser Phys. Lett. 7, 78-83 (2010). · 18 pages, 5 figures, accepted for publication in Laser Physics Letters
arxiv created 2009/09/12 · openalex publication_date 2009/09/24 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the extended Thomas-Fermi (ETF) density functional of the superfluid unitary Fermi gas. This functional includes a gradient term which is essential to describe accurately the surface effects of the system, in particular with a small number of atoms, where the Thomas-Fermi (local density) approximation fails. We find that our ETF functional gives density profiles which are in good agreement with recent Monte Carlo results and also with a more sophisticated superfluid density functional based on Bogoliubov-de Gennes equations. In addition, by using extended hydrodynamics equations of superfluids, we calculate the frequencies of collective surface oscillations of the unitary Fermi gas, showing that quadrupole and octupole modes strongly depend on the number of trapped atoms.