Excitation spectrum in a cylindrical Bose-Einstein gas

Abstract

Whole excitation spectrum is calculated within the Popov approximation of the Bogoliubov theory for a cylindrical symmetric Bose-Einstein gas trapped radially by a harmonic potential. The full dispersion relation and its temperature dependence of the zero sound mode propagating along the axial direction are evaluated in a self-consistent manner. The sound velocity is shown to depend not only on the peak density, but also on the axial area density. Recent sound velocity experiment on Na atom gas is discussed in light of the present theory.

4 pages, 5 eps figures

References in corpus (2)

• Sound propagation in a cylindrical Bose-condensed gas
• Bose-Einstein Condensation in a Confined Geometry with and without a Vortex

Cited by in corpus (6)

• Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
• How to create Alice string (half-quantum vortex) in a vector Bose-Einstein condensate
• Vortex line and ring dynamics in trapped Bose-Einstein condensates
• Vortex stabilization in Bose-Einstein condensate of alkali atom gas
• Comparison of mean-field theories for vortices in trapped Bose-Einstein condensates
• Hydrodynamic modes and pulse propagation in a cylindrical Bose gas above the Bose-Einstein transition