A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations

Details A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations

2005-02-25

arxiv.org/abs/nlin/0502059v1

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, no figures

Scientific paper

10.1134/1.2149073

A kinetic approach to the Bose-Einstein condensates (BECs) is proposed, based on the Wigner-Moyal equation (WME). In the quasi-classical limit, the WME reduces to the particle number conservation equation. Two examples of application are: i) a self-phase modulation of a BE condensate beam where we show that part of the beam is decelerated and eventually stops as a result of the gradient of the effective self-potential; ii) the derivation of a kinetic dispersion relation for sound waves in the BECs, including a collisionless Landau damping.

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