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.
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From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 128, No. 5, 2005, pp. 1078–1084.
Original English Text Copyright © 2005 by Mendonça, Bingham, Shukla.
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Mendonça, J.T., Bingham, R. & Shukla, P.K. A kinetic approach to Bose-Einstein condensates: Self-phase modulation and Bogoliubov oscillations. J. Exp. Theor. Phys. 101, 942–948 (2005). https://doi.org/10.1134/1.2149073
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DOI: https://doi.org/10.1134/1.2149073