Stable spatiotemporal solitons in Bessel optical lattices
arXiv:nlin/0506008 · doi:10.1103/PhysRevLett.95.023902
Abstract
We investigate the existence and stability of three-dimensional (3D) solitons supported by cylindrical Bessel lattices (BLs) in self-focusing media. If the lattice strength exceeds a threshold value, we show numerically, and using the variational approximation, that the solitons are stable within one or two intervals of values of their norm. In the latter case, the Hamiltonian-vs.-norm diagram has a "swallowtail" shape, with three cuspidal points. The model applies to Bose-Einstein condensates (BECs) and to optical media with saturable nonlinearity, suggesting new ways of making stable 3D BEC solitons and "light bullets" of an arbitrary size.
9 pages, 4 figures, Phys. Rev. Lett., in press
References in corpus (17)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Formation of a Matter-Wave Bright Soliton
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Josephson Junction Arrays with Bose-Einstein Condensates
- Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
- Observation of discrete vortex solitons in optically-induced photonic lattices
- Spatial Solitons in Optically-Induced Gratings
- Multidimensional solitons in periodic potentials
- Multidimensional solitons in a low-dimensional periodic potential
- Rotary solitons in Bessel photonic lattices
- Stable ring vortex solitons in Bessel optical lattices
- Soliton trains in photonic lattices
- Mid-Band Dissipative Spatial Solitons
- Nonlinear Krönig-Penney model
- Stabilization of three-dimensional matter-waves solitons in an optical lattice
- Reconfigurable soliton networks optically-induced by arrays of nondiffracting Bessel beams
- Reconfigurable directional couplers and junctions optically induced by nondiffracting Bessel beams
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- Robust light bullets in Rydberg gases with moiré lattice
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