The Kohn mode for trapped Bose gases within the dielectric formalism

Details The Kohn mode for trapped Bose gases within the dielectric formalism The Kohn mode for trapped Bose gases within the dielectric formalism

2000-10-17

arxiv.org/abs/cond-mat/0010238v1

Physics

Condensed Matter

Statistical Mechanics

6 pages revtex

Scientific paper

10.1103/PhysRevA.63.043605

The presence of undamped harmonic center of mass oscillations of a weakly interacting Bose gas in a harmonic trap is demonstrated within the dielectric formalism for a previously introduced finite temperature approximation including exchange. The consistency of the approximation with the Kohn theorem is thereby demonstrated. The Kohn modes are found explicitly, generalizing an earlier zero-temperature result found in the literature. It is shown how the Kohn mode disappears from the single-particle spectrum, while remaining in the density oscillation spectrum, when the temperature increases from below to above the condensation temperature.

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