Physics – Condensed Matter
Scientific paper
2000-07-12
Phys. Rev. A, Vol.63, p.013603 (2001)
Physics
Condensed Matter
13 pages, latex file
Scientific paper
10.1103/PhysRevA.63.013603
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.
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