Extended Thomas-Fermi density functional for the unitary Fermi gas (Articolo in rivista)

Type
Label
  • Extended Thomas-Fermi density functional for the unitary Fermi gas (Articolo in rivista) (literal)
Anno
  • 2008-01-01T00:00:00+01:00 (literal)
Alternative label
  • Salasnich, L; Toigo, F (2008)
    Extended Thomas-Fermi density functional for the unitary Fermi gas
    in Physical review. A
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Salasnich, L; Toigo, F (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 78 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • \"[Salasnich, Luca] Univ Padua, Dept Phys Galileo Galilei, CNISM, I-35131 Padua, Italy; Univ Padua, INFM, CNR, I-35131 Padua, Italy (literal)
Titolo
  • Extended Thomas-Fermi density functional for the unitary Fermi gas (literal)
Abstract
  • We determine the energy density xi(3/5)n epsilon(F) and the gradient correction lambda h(2)(del n)(2)/(8mn) of the extended Thomas-Fermi (ETF) density functional, where n is the number density and epsilon(F) is the Fermi energy, for a trapped two-component Fermi gas with infinite scattering length (unitary Fermi gas) on the basis of recent diffusion Monte Carlo (DMC) calculations [Phys. Rev. Lett. 99, 233201 (2007)]. In particular we find that xi=0.455 and lambda=0.13 give the best fit of the DMC data with an even number N of particles. We also study the odd-even splitting gamma N(1/9)h omega of the ground-state energy for the unitary gas in a harmonic trap of frequency omega determining the constant gamma. Finally we investigate the effect of the gradient term in the time-dependent ETF model by introducing generalized Galilei-invariant hydrodynamics equations. (literal)
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