ZhETF, Vol. 128,
p. 1078 (November 2005)
(English translation - JETP,
Vol. 101, No. 5,
available online at www.springer.com
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
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.