Stabilization of three-dimensional matter-waves solitons in an optical lattice
arXiv:quant-ph/0410235 · doi:10.1209/epl/i2004-10468-x
Abstract
We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic field tuned close to the Feshbach resonance). Another physical interpretation is a possibility to create stable 3D "light bullets" in an optical medium with a longitudinal alternating self-focusing/defocusing structure, and periodic modulation of the refractive index in a transverse direction. We develop a variational approximation to identify a stability region in the parametric space, and verify the existence of stable breathing solitons in direct simulations. Both methods reveal that stable solitons may be supported if the average value of the nonlinear coefficient (whose sign corresponds to attraction between atoms) and the lattice's strength exceed well-defined minimum values. Stable localized patterns may feature a multi-cell structure.
7 pages, 4 figures, submitted to Europhysics Letters
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- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Stable spatiotemporal solitons in Bessel optical lattices
- Fully three dimensional breather solitons can be created using Feshbach resonance
- Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity
- Matter-wave solitons in radially periodic potentials
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Stable three-dimensional solitons in attractive Bose-Einstein condensates loaded in an optical lattice
- Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
- Mismatch management for optical and matter-wave quadratic solitons
- Stabilization of a Bose-Einstein droplet by hyperfine Rabi oscillations
- Light Bullets in Nonlinear Periodically Curved Waveguide Arrays
- Dynamics of matter-wave solitons in a time-modulated two-dimensional optical lattice
- Stabilization of three--dimensional light bullets by a transverse lattice in a Kerr medium with dispersion management
- Multidimensional semi-gap solitons in a periodic potential
- Stabilization of BEC droplet in free space by feedback control of interatomic interaction
- Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate
- Stability analysis of three-dimensional breather solitons in a Bose-Einstein Condensate