Finite temperature oscillations of a Bose-Einstein condensate in a two-gas model

Abstract

The temperature dependence of the frequencies of a Bose-Einstein condensate obtained in experiment has not been fully understood theoretically. In this paper we present a simplified version of a two-gas model. A numerically-found ground state of the system is used for the small-oscillations analysis. In the case of spherical symmetry a full spectrum of frequencies is found for low orbital quantum numbers. Avoided crossings that appear in the spectrum might be the reason for experimentally observed frequency shifts.

11 pages, 10 eps figures included in the manuscript, submitted to Journal of Physics B

References in corpus (6)

• Collective excitations of Bose-Einstein condensed gases at finite temperatures
• Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
• Low-energy elementary excitations of a trapped Bose-condensed gas
• Gapless finite-$T$ theory of collective modes of a trapped gas
• Collisionless modes of a trapped Bose gas
• Collisionless modes of a trapped Bose gas

Cited by in corpus (3)

• Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
• On the anomalous density for Bose gases at finite temperature
• Free-fall expansion of finite-temperature Bose-Einstein condensed gas in the non Thomas-Fermi regime