Modulated Amplitude Waves in Bose-Einstein Condensates

Preprint

24 January 2004

preprint
Published by arXiv in arXiv

Abstract

We analyze spatio-temporal structures in the Gross-Pitaevskii equation to study the dynamics of quasi-one-dimensional Bose-Einstein condensates (BECs) with mean-field interactions. A coherent structure ansatz yields a parametrically forced nonlinear oscillator, to which we apply Lindstedt's method and multiple-scale perturbation theory to determine the dependence of the intensity of periodic orbits (``modulated amplitude waves'') on their wave number. We explore BEC band structure in detail using Hamiltonian perturbation theory and supporting numerical simulations.

Keywords

BOSE EINSTEIN CONDENSATES
NUMERICAL SIMULATIONS
EINSTEIN CONDENSATES
PERTURBATION THEORY
MODULATED AMPLITUDE
AMPLITUDE WAVES
BAND STRUCTURE

All Related Versions

Version 1, 2003-07-19, ArXiv
Version 2, 2003-10-28, ArXiv
Version 3, 2003-12-07, ArXiv
Version 4, 2004-01-24, ArXiv
Version 5, 2004-01-27, ArXiv
Published version: Physical Review E, 69 (4), 047201.

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