Full-time dynamics of modulational instability in spinor Bose-Einstein condensates
arXiv:0704.2280 · doi:10.1103/PhysRevA.76.013626
Abstract
We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schroedinger equation. We obtain an exact homoclinic solution of this model by employing the dressing method which we generalize to the case of the higher-rank projectors. This homoclinic solution describes the development of modulational instability beyond the linear regime, and we show that the modulational instability demonstrates the reversal property when the growth of the modulation amplitude is changed by its exponential decay.
6 pages, 2 figures, text slightly extended, a reference added
References in corpus (16)
- Spinor Bose Condensates in Optical Traps
- Optical Confinement of a Bose-Einstein Condensate
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Observation of spinor dynamics in optically trapped 87Rb Bose-Einstein Condensates
- Observation of metastable states in spinor Bose-Einstein condensates
- Coreless vortex formation in a spinor Bose-Einstein condensate
- Exact Analysis of Soliton Dynamics in Spinor Bose-Einstein Condensates
- The Coupled Modified Korteweg-de Vries Equations
- Theory of spin-2 Bose-Einstein condensates: spin-correlations, magnetic response, and excitation spectra
- Dark solitons in F=1 spinor Bose--Einstein condensate
- Matter-Wave Solitons in an F=1 Spinor Bose-Einstein Condensate
- General soliton matrices in the Riemann-Hilbert problem for integrable nonlinear equations
- Spin domain formation in spinor Bose-Einstein condensation
- Modulational instability of spinor condensates
- Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions
- Coreless vortex ground state of the rotating spinor condensate
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