A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates
Chaotic Dynamics
2009-11-10 v4 Condensed Matter
Pattern Formation and Solitons
Abstract
We apply Lindstedt's method and multiple scale perturbation theory to analyze spatio-temporal structures in nonlinear Schr\"odinger equations and thereby study the dynamics of quasi-one-dimensional Bose-Einstein condensates with mean-field interactions. We determine the dependence of the intensity of modulated amplitude waves on their wave number. We also explore the band structure of Bose-Einstein condensates in detail using Hamiltonian perturbation theory and supporting numerical simulations.
Cite
@article{arxiv.nlin/0308024,
title = {A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates},
author = {Mason A. Porter and Predrag Cvitanovic'},
journal= {arXiv preprint arXiv:nlin/0308024},
year = {2009}
}
Comments
24 pages, 20 figs (numbered to 9), 6 tables, to appear in Chaos