Hydrodynamic modes and pulse propagation in a cylindrical Bose gas above the Bose-Einstein transition

Abstract

We study hydrodynamic oscillations of a cylindrical Bose gas above the Bose-Einstein transition temperature using the hydrodynamic equations derived by Griffin, Wu and Stringari. This extends recent studies of a cylindrical Bose-condensed gas at T=0. Explicit normal mode solutions are obtained for non-propagating solutions. In the classical limit, the sound velocity is shown to be the same as a uniform classical gas. We use a variational formulation of the hydrodynamic equations to discuss the propagating modes in the degenerate Bose-gas limit and show there is little difference from the classical results.

16 pages, revtex, 2 postscript figures, submitted to Physical Review A

References in corpus (8)

• Dynamics of Bose condensed gases in highly deformed traps
• Sound propagation in a cylindrical Bose-condensed gas
• Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
• Hydrodynamic excitations of Bose condensates in anisotropic traps
• First and second sound in a uniform Bose gas
• Sound Propagation in Elongated Bose-Einstein Condensed Clouds
• Damping of Hydrodynamic Modes in a Trapped Bose Gas above the Bose-Einstein Transition Temperature
• Excitation spectrum in a cylindrical Bose-Einstein gas

Cited by in corpus (9)

• Sound propagation in a Bose-Einstein condensate at finite temperatures
• First and second sound in a strongly interacting Fermi gas
• First and second sound in cylindrically trapped gases
• Propagation of Second sound in a superfluid Fermi gas in the unitary limit
• Frequency and damping of hydrodynamic modes in a trapped Bose-condensed gas
• First principles derivation of NLS equation for BEC with cubic and quintic nonlinearities at non zero temperature. Dispersion of linear waves
• Thermodynamic measurement of the sound velocity of a Bose gas across the transition to Bose-Einstein condensation
• Squeezed field path integral description of second sound in Bose-Einstein condensates
• Controlled acoustic-driven vortex transport in coupled superfluid rings