A KINETIC APPROACH TO BOSE - EINSTEIN CONDENSATES: SELF-PHASE MODULATION AND BOGOLIUBOV OSCILLATIONS
Mendonca J.T., Bingham R., Shukla P.K.

Received: April 22, 2005

PACS: 02.70.Uu, 32.80.Pj, 67.40.Db

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A kinetic approach to Bose - Einstein condensates (BECs) is proposed, based on the Wigner - Moyal equation (WME). In the semiclassical limit, the WME reduces to the particle-number conservation equation. Two examples of applications are i) a self-phase modulation of a BE condensate beam, where we show that a 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 BECs, including collisionless Landau damping.