Temperature dependence of density profiles for a cloud of noninteracting fermions moving inside a harmonic trap in one dimension

Akdeniz Z., Vignolo P., Minguzzi A., Tosi M.

PHYSICAL REVIEW A, vol.66, no.5, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 66 Issue: 5
  • Publication Date: 2002
  • Doi Number: 10.1103/physreva.66.055601
  • Journal Name: PHYSICAL REVIEW A
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul University Affiliated: No


We extend to finite temperature a Green's-function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of noninteracting fermions moving under harmonic confinement in one dimension. By calculations of the particle and kinetic-energy density profiles, we illustrate the role of thermal excitations in smoothing out the quantum shell structure of the cloud and in spreading the particle spill out from quantum tunnel at the edges. We also discuss the approach of the exact density profiles to the predictions of a semiclassical model often used in the theory of confined atomic gases at finite temperature.