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

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

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 …