Faraday patterns in Bose-Einstein condensates. Amplitude equation for rolls in the parametrically driven, damped Gross-Pitaevskii equation
Soft Condensed Matter
2007-05-23 v1 Pattern Formation and Solitons
Abstract
The parametrically driven, damped Gross-Pitaevskii equation, which models Bose-Einstein condensates in which the interatomic s-wave scattering length is modulated in time, is shown to support spatially modulated states in the form of rolls. A Landau equation with broken phase symmetry is derived, which governs the dynamics of the roll amplitude.
Keywords
Cite
@article{arxiv.cond-mat/0204406,
title = {Faraday patterns in Bose-Einstein condensates. Amplitude equation for rolls in the parametrically driven, damped Gross-Pitaevskii equation},
author = {German J. de Valcarcel},
journal= {arXiv preprint arXiv:cond-mat/0204406},
year = {2007}
}