Frequencies and Damping rates of a 2D Deformed Trapped Bose gas above the Critical Temperature

Abstract

We derive the equation of motion for the velocity fluctuations of a 2D deformed trapped Bose gas above the critical temperature in the hydrodynamical regime. From this equation, we calculate the eigenfrequencies for a few low-lying excitation modes. Using the method of averages, we derive a dispersion relation in a deformed trap that interpolates between the collisionless and hydrodynamic regimes. We make use of this dispersion relation to calculate the frequencies and the damping rates for monopole and quadrupole mode in both the regimes. We also discuss the time evolution of the wave packet width of a Bose gas in a time dependent as well as time independent trap.

13 pages, latex file

References in corpus (4)

• Bose-Einstein condensation in quasi2D trapped gases
• Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
• Extended parametric resonances in nonlinear Schrodinger systems
• Collective oscillations of a classical gas confined in harmonic traps

Cited by in corpus (7)

• The transverse breathing mode of an elongated Bose-Einstein condensate
• Mean field effects in a trapped classical gas
• Collective oscillations of a trapped quantum gas in low dimensions
• Collective modes of a two-dimensional spin-1/2 Fermi gas in a harmonic trap
• Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
• Dipole oscillation of a trapped Bose--Fermi-mixture gas in collisionless and hydrodynamic regimes
• Dipole Mode of Trapped Bose--Fermi Mixture Gas