A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations
Pattern Formation and Solitons
2009-11-11 v1
Abstract
A kinetic approach to the Bose-Einstein condensates (BECs) is proposed, based on the Wigner-Moyal equation (WME). In the quasi-classical limit, the WME reduces to the particle number conservation equation. Two examples of application 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; ii) the derivation of a kinetic dispersion relation for sound waves in the BECs, including a collisionless Landau damping.
Keywords
Cite
@article{arxiv.nlin/0502059,
title = {A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations},
author = {J. T. Mendonca and R. Bingham and P. K. Shukla},
journal= {arXiv preprint arXiv:nlin/0502059},
year = {2009}
}
Comments
14 pages, no figures