Bright solitons from defocusing nonlinearities
arXiv:1108.3673 · doi:10.1103/PhysRevE.84.035602
Abstract
We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of stable solitons in all three dimensions, including 1D fundamental and multihump states, 2D vortex solitons with arbitrarily high topological charges, and fundamental solitons in 3D. Solitons maintain their coherence in the state of motion, oscillating in the nonlinear potential as robust quasi-particles and colliding elastically. In addition to numerically found soliton families, particular solutions are found in an exact analytical form, and accurate approximations are developed for the entire families, including moving solitons.
13 pages, 6 figures, to appear in Physical Review E
References in corpus (14)
- Many-Body Physics with Ultracold Gases
- Tuning the scattering length with an optically induced Feshbach resonance
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Nonlinearity Management in Optics: Experiment, Theory, and Simulation
- Algebraic bright and vortex solitons in defocusing media
- Stable two-dimensional solitons in nonlinear lattices
- Transmission of matter wave solitons through nonlinear traps and barriers
- Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity
- Localized modes of binary mixtures of Bose-Einstein condensates in nonlinear optical lattices
- Power-dependent shaping of vortex solitons in optical lattices with spatially modulated nonlinear refractive index
- Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
- Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice
- Drift instability and tunneling of lattice solitons
- Partial delocalization of two-component condensates in optical lattices
Cited by in corpus (61)
- Non-standard Hubbard models in optical lattices: a review
- Vortex solitons: Old results and new perspectives
- Stable Solitons in Three Dimensional Free Space: Self-Trapped Bose-Einstein Condensates with Spin-Orbit Coupling
- Multidimensional solitons: Well-established results and novel findings
- Twisted toroidal vortex-solitons in inhomogeneous media with repulsive nonlinearity
- One-dimensional solitons in fractional Schrödinger equation with a spatially modulated nonlinearity: nonlinear lattice
- Soliton gyroscopes in media with spatially growing repulsive nonlinearity
- Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
- One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
- Families of fundamental and multipole solitons in a cubic-quintic nonlinear lattice in fractional dimension
- Stable giant vortex annuli in microwave-coupled atomic condensates
- Unbreakable PT-symmetry of solitons supported by inhomogeneous defocusing nonlinearity
- Three-dimensional hybrid vortex solitons
- Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
- Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
- Bright solitons in defocusing media with spatial modulation of the quintic nonlinearity
- A purely Kerr nonlinear model admitting flat-top solitons
- Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion
- Quadratic fractional solitons
- Singular solitons
- Rotating vortex clusters in media with inhomogeneous defocusing nonlinearity
- Matter-wave solitons supported by field-induced dipole-dipole repulsion with a spatially modulated strength
- Self-trapping under the two-dimensional spin-orbit-coupling and spatially growing repulsive nonlinearity
- Stable and oscillating solitons of -symmetric couplers with gain and loss in fractional dimension
- Localized dark solitons and vortices in defocusing media with spatially inhomogeneous nonlinearity
- Bright solitons from the nonpolynomial Schrödinger equation with inhomogeneous defocusing nonlinearities
- Self-trapping and splitting of bright vector solitons under inhomogeneous defocusing nonlinearities
- Solitons supported by spatially inhomogeneous nonlinear losses
- Ring dark solitons in three-dimensional Bose-Einstein condensates
- Gaussian-like and flat-top solitons of atoms with spatially modulated repulsive interactions
- Solitary vortices supported by localized parametric gain
- Bubbles and W-shaped solitons in Kerr media with fractional diffraction
- Flat-floor bubbles, dark solitons, and vortices stabilized by inhomogeneous nonlinear media
- Solitons and vortices in nonlinear potential wells
- Solitons supported by singular spatial modulation of the Kerr nonlinearity
- Composite vortices in nonlinear circular waveguide arrays
- Asymmetric solitons and domain walls supported by inhomogeneous defocusing nonlinearity
- Discrete localized modes supported by an inhomogeneous defocusing nonlinearity
- Solitons and Vortices in Two-dimensional Discrete Nonlinear Schrodinger Systems with Spatially Modulated Nonlinearity
- Self-trapping of Fermi and Bose gases under spatially modulated repulsive nonlinearity and transverse confinement
- Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential
- Gap and embedded solitons in microwave-coupled binary condensates
- Stabilization of solitons under competing nonlinearities by external potentials
- Solitary modes in nonlocal media with inhomogeneous self-repulsive nonlinearity
- Asymmetric localized states in periodic potentials with a domain wall-like Kerr nonlinearity
- Quantum bright solitons in the Bose-Hubbard model with site-dependent repulsive interactions
- Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
- Transfer and scattering of wave packets by a nonlinear trap
- Solution of the Nonlinear Schrodinger Equation with Defocusing Strength Nonlinearities Through the Laplace-Adomian Decomposition Method
- Vortical and fundamental solitons in dipolar Bose-Einstein condensates trapped in isotropic and anisotropic nonlinear potentials
- Spatial solitons under competing linear and nonlinear diffractions
- Robust PT symmetry of two-dimensional fundamental and vortex solitons supported by spatially modulated nonlinearity
- Making the PT symmetry unbreakable
- Exact States in Waveguides With Periodically Modulated Nonlinearity
- Self-accelerating solitons
- New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter
- Localized-Interaction-Induced Quantum Reflection and Filtering of Bosonic Matter in a One-Dimensional Lattice Guide
- Saturable nonlinear Schrödinger equation with space- and time-dependent variable coefficients
- Stability and dynamics of dark-bright soliton bound states away from the integrable limit
- Bright Discrete Solitons in Spatially Modulated DNLS Systems
- Persistence of the Thomas-Fermi approximation for ground states supported by the nonlinear confinement