Dark spherical shell solitons in three-dimensional Bose-Einstein condensates: Existence, stability and dynamics
arXiv:1601.02176 · doi:10.1103/PhysRevA.93.023630
Abstract
In this work we study spherical shell dark soliton states in three-dimensional atomic Bose-Einstein condensates. Their symmetry is exploited in order to analyze their existence, as well as that of topologically charged variants of the structures, and, importantly, to identify their linear stability Bogolyubov-de Gennes spectrum. We compare our effective 1D spherical and 2D cylindrical computations with the full 3D numerics. An important conclusion is that such spherical shell solitons can be stable sufficiently close to the linear limit of the isotropic condensates considered herein. We have also identified their instabilities leading to the emergence of vortex line and vortex ring cages. In addition, we generalize effective particle pictures of lower dimensional dark solitons and ring dark solitons to the spherical shell solitons concerning their equilibrium radius and effective dynamics around it. In this case too, we favorably compare the resulting predictions such as the shell equilibrium radius, qualitatively and quantitatively, with full numerical solutions in 3D.
10 pages, 7 figures, for movie go to: http://nonlinear.sdsu.edu/~carreter/DSS.html
References in corpus (29)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Watching dark solitons decay into vortex rings in a Bose-Einstein condensate
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Vortices in a trapped dilute Bose-Einstein condensate
- Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
- Nonlinear Waves in Bose-Einstein Condensates: Physical Relevance and Mathematical Techniques
- Experimental observation of oscillating and interacting matter wave dark solitons
- Dark soliton states of Bose-Einstein condensates in anisotropic traps
- Stationary and non-stationary fluid flow of a Bose-Einstein condensate through a penetrable barrier
- Ring Dark Solitons and Vortex Necklaces in Bose-Einstein Condensates
- Heavy Solitons in a Fermionic Superfluid
- Observation of Solitonic Vortices in Bose-Einstein Condensates
- Motion of a Solitonic Vortex in the BEC-BCS Crossover
- Multiple atomic dark solitons in cigar-shaped Bose-Einstein condensates
- Observation of Hybrid Soliton Vortex-Ring Structures in Bose-Einstein Condensates
- Symmetry Breaking in Symmetric and Asymmetric Double-Well Potentials
- Vortices and Ring Solitons in Bose-Einstein Condensates
- Inelastic Collisions of Solitary Waves in Anisotropic Bose-Einstein Condensates: Sling-Shot Events and Expanding Collision Bubbles
- Radially Symmetric Nonlinear States of Harmonically Trapped Bose-Einstein Condensates
- Dynamics of ring dark solitons in Bose-Einstein condensates and nonlinear optics
- Collisions of solitons and vortex rings in cylindrical Bose-Einstein condensates
- Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
- Robust Vortex Lines, Vortex Rings and Hopfions in 3D Bose-Einstein Condensates
- Dark-bright ring solitons in Bose-Einstein condensates
- Stabilization of ring dark solitons in Bose-Einstein condensates
- On the Bifurcation and Stability of Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates
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- An Adiabatic Invariant Approach to Transverse Instability: Landau Dynamics of Soliton Filaments
- -induced breathing patterns in multi-component Bose-Einstein condensates
- Single and Multiple Vortex Rings in Three-Dimensional Bose-Einstein Condensates: Existence, Stability and Dynamics
- Ring dark solitons in three-dimensional Bose-Einstein condensates
- Two infinite families of resonant solutions for the Gross-Pitaevskii equation
- Deflation-based Identification of Nonlinear Excitations of the 3D Gross--Pitaevskii equation
- Instabilities of vortex-ring-bright soliton in trapped binary 3D Bose-Einstein condensates
- Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates
- On Two-Component Dark-Bright Solitons in Three-dimensional Atomic Bose-Einstein Condensates
- Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates
- Planar and Radial Kinks in Nonlinear Klein-Gordon Models: Existence, Stability and Dynamics
- Pairwise Interactions of Ring Dark Solitons with Vortices and other Rings: Stationary States, Stability Features and Nonlinear Dynamics
- Controlled engineering of a vortex-bright soliton dynamics using a constant driving force
- Dynamics of interacting dark soliton stripes
- Adiabatic invariant analysis of dark and dark-bright soliton stripes in two-dimensional Bose-Einstein condensates
- Stability of dark solitons in a bubble Bose-Einstein condensate
- Variational Approach to the Snake Instability of a Bose-Einstein Condensate Soliton