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

Mendonca, J.T. and Bingham, R. and Shukla, P.K. (2005) A kinetic approach to Bose-Einstein condensates : Self-phase modulation and Bogoliubov oscillations. Journal of Experimental and Theoretical Physics, 101 (5). pp. 942-948. ISSN 1063-7761

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Abstract

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 part of the beam is decelerated and eventually stops as a result of the gradient of the effective self-potential, and (ii) the derivation of a kinetic dispersion relation for sound waves in BECs, including collisionless Landau damping. (c) 2005 Pleiades Publishing, Inc.