Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-05-23
Phys. Rev. A 66 (2002) 055601
Physics
Condensed Matter
Statistical Mechanics
7 pages, 4 figures
Scientific paper
10.1103/PhysRevA.66.055601
We extend to finite temperature a Green's function method that was previously proposed to evaluate ground-state properties of mesoscopic clouds of non-interacting 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.
Akdeniz Zehra
Minguzzi Anna
Tosi Mario P.
Vignolo Patrizia
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