Suppression of the critical collapse for one-dimensional solitons by saturable quintic nonlinear lattices
arXiv:1803.08705 · doi:10.1063/1.5015933
Abstract
The stabilization of one-dimensional solitons by a nonlinear lattice against the critical collapse in the focusing quintic medium is a challenging issue. We demonstrate that this purpose can be achieved by combining a nonlinearlatticeandsaturationofthequinticnonlinearity. Thesystemsupportsthreespeciesofsolitons, namely, fundamental (even-parity) ones and dipole (odd-parity) modes of on- and off-site-centered types. Very narrow fundamental solitons are found in an approximate analytical form, and systematic results for very broad unstable and moderately broad partly stable solitons, including their existence and stability areas, are produced by means of numerical methods. Stability regions of the solitons are identified by means of systematic simulations. The stability of all the soliton species obeys the Vakhitov-Kolokolov criterion.
arXiv comment8 pages,8 figures, Chaos (2018), to be published
References in corpus (30)
- Feshbach Resonances in Ultracold Gases
- Solitons in nonlinear lattices
- Quantum Mechanical Stabilization of a Collapsing Bose-Bose Mixture
- Quantum liquid droplets in a mixture of Bose-Einstein condensates
- Observation of quantum droplets in a strongly dipolar Bose gas
- Observing the Rosensweig instability of a quantum ferrofluid
- Self-bound quantum droplets in atomic mixtures
- Quantum-fluctuation-driven crossover from a dilute Bose-Einstein condensate to a macro-droplet in a dipolar quantum fluid
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Ultradilute low-dimensional liquids
- Theory of Nonlinear Matter Waves in Optical Lattices
- Bright soliton to quantum droplet transition in a mixture of Bose-Einstein condensates
- Fundamental and vortex solitons in a two-dimensional optical lattice
- Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities
- Multidimensional solitons in periodic potentials
- Solitons in combined linear and nonlinear lattice potentials
- Beyond Tonks-Girardeau: strongly correlated regime in quasi-one-dimensional Bose gases
- Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices
- Matter-wave solitons of collisionally inhomogeneous condensates
- Multidimensional solitons: Well-established results and novel findings
- Stable two-dimensional solitons in nonlinear lattices
- Mean-field analysis of collapsing and exploding Bose-Einstein condensates
- Nonlinearity management of photonic composites and observation of spatial-modulation instability due to quintic nonlinearity
- 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
- Vector solitons in nonlinear lattices
- Stabilization of one-dimensional solitons against the critical collapse by quintic nonlinear lattices
- Bose-Einstein condensates under a spatially-modulated transverse confinement
- Strong Collapse Turbulence in Quintic Nonlinear Schrödinger Equation
- Two-dimensional solitons and vortices in media with incommensurate linear and nonlinear lattice potentials
Cited by in corpus (5)
- One-dimensional solitons in fractional Schrödinger equation with a spatially modulated nonlinearity: nonlinear lattice
- One-dimensional gap solitons in quintic and cubic-quintic Fractional nonlinear Schrödinger equations with a periodically modulated linear potential
- Gap-type dark localized modes in a Bose-Einstein condensate with optical lattices
- Optical solitons in saturable cubic-quintic nonlinear media with nonlinear dispersion
- Asymmetric localized states in periodic potentials with a domain wall-like Kerr nonlinearity