Damping in 2D and 3D dilute Bose gases

Abstract

Damping in 2D and 3D dilute gases is investigated using both the hydrodynamical approach and the Hartree-Fock-Bogoliubov (HFB) approximation . We found that the both methods are good for the Beliaev damping at zero temperature and Landau damping at very low temperature, however, at high temperature, the hydrodynamical approach overestimates the Landau damping and the HFB gives a better approximation. This result shows that the comparison of the theoretical calculation using the hydrodynamical approach and the experimental data for high temperature done by Vincent Liu (PRL {\bf21} 4056 (1997)) is not proper. For two-dimensional systems, we show that the Beliaev damping rate is proportional to $k^3$ and the Landau damping rate is proportional to $T^2$ for low temperature and to $T$ for high temperature. We also show that in two dimensions the hydrodynamical approach gives the same result for zero temperature and for low temperature as HFB, but overestimates the Landau damping for high temperature.

11 pages, 4 figures

References in corpus (7)

• Weakly Interacting, Dilute Bose Gases in 2D
• Observation of Phase Defects in Quasi-2D Bose-Einstein Condensates
• Quasi-2D Confinement of a BEC in a Combined Optical and Magnetic Potential
• Representative statistical ensembles for Bose systems with broken gauge symmetry
• Self-Consistent Theory of Bose-Condensed Systems
• Landau damping of Bogoliubov excitations in optical lattices at finite temperature
• Dynamical Structure Factor and Spin-Density Separation for a Weakly-Interacting Two-Component Bose Gas

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