A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations
arXiv:nlin/0502059 · doi:10.1134/1.2149073
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.
arXiv comment14 pages, no figures
References in corpus (11)
- Theory of Bose-Einstein condensation in trapped gases
- Collective excitations of a trapped Bose-condensed gas
- Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
- Dynamical quantum noise in Bose-Einstein condensates
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Landau damping in dilute Bose gases
- The stochastic Gross-Pitaevskii equation II
- Sound propagation in a cylindrical Bose-condensed gas
- Nonlinear Matter Wave Dynamics with a Chaotic Potential
- Landau damping in trapped Bose-condensed gases
- Landau damping of transverse quadrupole oscillations of an elongated Bose-Einstein condensate