Finite temperature theory of the scissors mode in a Bose gas using the moment method

Abstract

We use a generalized Gross-Pitaevskii equation for the condensate and a semi-classical kinetic equation for the noncondensate atoms to discuss the scissors mode in a trapped Bose-condensed gas at finite temperatures. Both equations include the effect of $C_{12}$ collisions between the condensate and noncondensate atoms. We solve the coupled moment equations describing oscillations of the quadrupole moments of the condensate and noncondensate components to find the collective mode frequencies and collisional damping rates as a function of temperature. Our calculations extend those of Guéry-Odelin and Stringari at T=0 and in the normal phase. They complement the numerical results of Jackson and Zaremba, although Landau damping is left out of our approach. Our results are also used to calculate the quadrupole response function, which is related to the moment of inertia. It is shown explicitly that the moment of inertia of a trapped Bose gas at finite temperatures involves a sum of an irrotational component from the condensate and a rotational component from the thermal cloud atoms.

18 pages, 8 figures

References in corpus (4)

• Temperature Dependence of Damping and Frequency Shifts of the Scissors Mode of a trapped Bose-Einstein Condensate
• Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases
• Dynamical instability of a condensate induced by a rotating thermal gas
• Temperature-dependent relaxation times in a trapped Bose-condensed gas

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• Linear spin waves in a trapped Bose gas
• Zero and First Sound in Normal Fermi Systems
• Dipole oscillation of a trapped Bose--Fermi-mixture gas in collisionless and hydrodynamic regimes
• Precessional motion of a vortex in a finite-temperature Bose-Einstein condensate
• Dipole Mode of Trapped Bose--Fermi Mixture Gas
• Nonlinear Mixing of Collective Modes in Harmonically Trapped Bose-Einstein Condensates