Fully three dimensional breather solitons can be created using Feshbach resonance
arXiv:cond-mat/0506545 · doi:10.1103/PhysRevLett.95.050403
Abstract
We investigate the stability properties of breather solitons in a three-dimensional Bose-Einstein Condensate with Feshbach Resonance Management of the scattering length and con ned only by a one dimensional optical lattice. We compare regions of stability in parameter space obtained from a fully 3D analysis with those from a quasi two-dimensional treatment. For moderate con nement we discover a new island of stability in the 3D case, not present in the quasi 2D treatment. Stable solutions from this region have nontrivial dynamics in the lattice direction, hence they describe fully 3D breather solitons. We demonstrate these solutions in direct numerical simulations and outline a possible way of creating robust 3D solitons in experiments in a Bose Einstein Condensate in a one-dimensional lattice. We point other possible applications.
4 pages, 4 figures; accepted to Physical Review Letters
References in corpus (14)
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Realization of Bose-Einstein condensates in lower dimensions
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Bright gap solitons of atoms with repulsive interaction
- Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
- Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length
- Multidimensional solitons in periodic potentials
- Magnetic Field Dependence of Ultracold Inelastic Collisions near a Feshbach Resonance
- Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: Matter-wave breathers
- Controlled generation and steering of spatial gap solitons
- Mean-field analysis of collapsing and exploding Bose-Einstein condensates
- Stabilization of three-dimensional matter-waves solitons in an optical lattice
- An all-optical gray lattice for atoms
Cited by in corpus (53)
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Anisotropic solitons in dipolar Bose-Einstein Condensates
- Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates
- Two-dimensional solitons in the Gross-Pitaevskii equation with spatially modulated nonlinearity
- Controlling soliton interactions in Bose-Einstein condensates by synchronizing the Feshbach resonance and harmonic trap
- Matter-wave solitons in radially periodic potentials
- Breather mode in the many-electron dynamics of semiconductor quantum wells
- Modulated Amplitude Waves in Collisionally Inhomogeneous Bose-Einstein Condensates
- Three-dimensional hybrid vortex solitons
- Matter-wave solitons with a periodic, piecewise-constant nonlinearity
- Modulation of breathers in cigar-shaped Bose-Einstein condensates
- Trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment
- Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation
- Solitary Waves Under the Competition of Linear and Nonlinear Periodic Potentials
- Breather-like solitons extracted from the Peregrine rogue wave
- Bose-Einstein condensation: Twenty years after
- Soliton oscillations in collisionally inhomogeneous attractive Bose-Einstein condensates
- Temporal-Spatial Interference Pattern During Solitons Interaction
- Dynamical stabilization of matter-wave solitons revisited
- Mismatch management for optical and matter-wave quadratic solitons
- Non-autonomous bright-dark solitons and Rabi oscillations in multi-component Bose-Einstein condensates
- Images of a Bose-Einstein condensate: diagonal dynamical Bogoliubov vacuum
- Matter-wave solitons supported by dissipation
- Stabilization of a Bose-Einstein droplet by hyperfine Rabi oscillations
- Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate
- Three-dimensional gap solitons in Bose-Einstein condensates supported by one-dimensional optical lattices
- Light Bullets in Nonlinear Periodically Curved Waveguide Arrays
- Dynamics of matter-wave solitons in a time-modulated two-dimensional optical lattice
- Guiding ultraslow weak-light bullets with Airy beams in a coherent atomic system
- Feshbach Resonance Management of Bose-Einstein Condensates in Optical Lattices
- Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation
- Quasi-one-dimensional Bose-Einstein condensates in nonlinear lattices
- Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
- Floquet engineering of optical nonlinearities: a quantum many-body approach
- Spatiotemporal solitons in dispersion-managed multimode fibers
- Competition between attractive and repulsive interactions in two-component Bose-Einstein condensates trapped in an optical lattice
- Several Localized Waves Induced by Linear Interference between a Nonlinear Plane Wave and Bright Solitons
- Internal Josephson-Like Tunneling in Two-Component Bose-Einstein Condensates Affected by Sign of the Atomic Interaction and External Trapping Potential
- Solitons in coupled atomic-molecular Bose-Einstein condensates in a trap
- Collisionally inhomogeneous Bose-Einstein condensates in double-well potentials
- Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking
- Multidimensional semi-gap solitons in a periodic potential
- Dark Solitary Waves in a Class of Collisionally Inhomogeneous Bose-Einstein Condensates
- Stabilization of BEC droplet in free space by feedback control of interatomic interaction
- The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice
- Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate
- Scattering of matter-waves in spatially inhomogeneous environments
- Solitary Matter Waves in Combined Linear and Nonlinear Potentials: Detection, Stability, and Dynamics
- Matter-Wave Solitons in the Presence of Collisional Inhomogeneities: Perturbation theory and the impact of derivative terms
- Soliton shape and mobility control in optical lattices
- Control of the symmetry breaking in double-well potentials by the resonant nonlinearity management
- Emergence and Ordering of Polygonal Breathers in Polariton Condensates