Modulated Amplitude Waves in Bose-Einstein Condensates
arXiv:nlin/0307032 · doi:10.1103/PhysRevE.69.047201
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.
5 pages, 4 figs, revtex, final form of paper, to appear in PRE (forgot to include \bibliography command in last update, so this is a correction of that; the bibliography is hence present again)
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Cited by in corpus (11)
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Nonlinear Lattice Dynamics of Bose-Einstein Condensates
- Period doubling, two-color lattices, and the growth of swallowtails in Bose-Einstein condensates
- Resonant and Non-Resonant Modulated Amplitude Waves for Binary Bose-Einstein Condensates in Optical Lattices
- Dynamical instability of a Bose-Einstein condensate with higher-order interactions in an optical potential through a variational approach
- Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices
- Modulated amplitude waves with nonzero phases in Bose-Einstein condensates
- Bose-Einstein Condensates in Superlattices
- A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates
- Fractional-Period Excitations in Continuum Periodic Systems
- Construction of modulated amplitude waves via averaging in collisionally inhomogeneous Bose-Einstein condensates