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Collective and single-particle excitations of a trapped Bose gas
Dalfovo, Franco; Giorgini, S.; Guilleumas, Montserrat; Pitaevskii, L. P. (Lev Petrovich); Stringari, S.
Universitat de Barcelona
The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with those of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock scheme provides an excellent description of the excitation spectrum in a wide range of energy, revealing a major role played by single-particle excitations in these confined systems. The crossover from the hydrodynamic regime, holding at low energies, to the independent-particle regime is explicitly explored by studying the frequency of the surface mode as a function of their angular momentum. The applicability of the semiclassical approximation for the excited states is also discussed. We show that the semiclassical approach provides simple and accurate formulas for the density of states and the quantum depletion of the condensate.
Gas de Bose-Einstein
Estadística quàntica
Excitació nuclear
Bose-Einstein gas
Quantum statistics
Nuclear excitation
(c) The American Physical Society, 1997
The American Physical Society

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