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

Journal Article · Fri Nov 01 00:00:00 EST 2002 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.66.055601· OSTI ID:20632379

Akdeniz, Z ^[1]; Vignolo, P; Minguzzi, A; Tosi, M P ^[1]

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1. Istituto Nazionale di Fisica della Materia and Classe di Scienze, Scuola Normale Superiore, Piazza dei Cavalieri 7, I-56126 Pisa (Italy)

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.

• OSTI ID: 20632379
• Journal Information: Physical Review. A, Vol. 66, Issue 5; Other Information: DOI: 10.1103/PhysRevA.66.055601; (c) 2002 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CONFINEMENT
DENSITY
EXCITATION
FERMIONS
GREEN FUNCTION
GROUND STATES
KINETIC ENERGY
SEMICLASSICAL APPROXIMATION
TEMPERATURE DEPENDENCE
TRAPS