A kinetic approach to Bose-Einstein condensates: Self-phase modulation and Bogoliubov oscillations |
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| Authors: | J. T. Mendonça R. Bingham P. K. Shukla |
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| Affiliation: | 1.Rutherford Appleton Laboratory,Chilton, Didcot, Oxon,UK;2.Instituto Superior Técnico,Lisboa,Portugal;3.Department of Physics,University of Strathclyde,Glasgow,UK;4.Institut für Theoretische Physik IV, Fakult?t für Physik und Astronomie,Ruhr-Universit?t Bochum,Bochum,Germany;5.Department of Physics,Ume? University,Ume?,Sweden |
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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. |
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