Modulated amplitude waves with nonzero phases in Bose-Einstein condensates
arXiv:1103.5277 · doi:10.1063/1.3623415
Abstract
In this paper we give a frame for application of the averaging method to Bose-Einstein condensates (BECs) and obtain an abstract result upon the dynamics of BECs. Using aver- aging method, we determine the location where the modulated amplitude waves (periodic or quasi-periodic) exist and we also study the stability and instability of modulated amplitude waves (periodic or quasi-periodic). Compared with the previous work, modulated amplitude waves studied in this paper have nontrivial phases and this makes the problem become more diffcult, since it involves some singularities.
arXiv comment17 pages, 2 figures
References in corpus (29)
- Theory of Bose-Einstein condensation in trapped gases
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Solitons in nonlinear lattices
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
- Bose-Einstein condensates in standing waves: The cubic nonlinear Schroedinger equation with a periodic potential
- Guiding Neutral Atoms with a Wire
- Regular spatial structures in arrays of Bose-Einstein condensates induced by modulational instability
- Three body problem in a dilute Bose-Einstein condensate
- Averaging For Solitons With Nonlinearity Management
- Analysis of an atom laser based on the spatial control of the scattering length
- Propagation of matter wave solitons in periodic and random nonlinear potentials
- Modulated Amplitude Waves and the Transition from Phase to Defect Chaos
- Stability of stationary states in the cubic nonlinear Schroedinger equation: applications to the Bose-Einstein condensate
- Modulated Amplitude Waves and Defect Formation in the One-Dimensional Complex Ginzburg-Landau Equation
- Stability criterion for bright solitary waves of the perturbed cubic-quintic Schroedinger equation
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Modulational instability in a layered Kerr medium: Theory and Experiment
- Propagation, breathing and transition of matter-wave packet trains
- Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
- Resonant and Non-Resonant Modulated Amplitude Waves for Binary Bose-Einstein Condensates in Optical Lattices
- Modulated Amplitude Waves in Bose-Einstein Condensates
- Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices
- Modulational Instability in Bose-Einstein Condensates under Feshbach Resonance Management
- Perturbation theory of dynamical systems
- Bose-Einstein Condensates in Superlattices
- A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates