Globally-Linked Vortex Clusters in Trapped Wave Fields
arXiv:physics/0202074 · doi:10.1103/PhysRevE.66.036612
Abstract
We put forward the existence of a rich variety of fully stationary vortex structures, termed H-clusters, made of an increasing number of vortices nested in paraxial wave fields confined by trapping potentials. However, we show that the constituent vortices are globally linked, rather than products of independent vortices. Also, they always feature a monopolar global wave front and exist in nonlinear systems, such as Bose-Einstein condensates. Clusters with multipolar global wave fronts are non-stationary or at best flipping.
4 pages, 5 PostScript figures
References in corpus (6)
- Entanglement of Orbital Angular Momentum States of Photons
- Optical alignment and spinning of laser-trapped microscopic particles
- Management of the Angular Momentum of Light: Preparation of Photons in Multidimensional Vector States of Angular
- Vortex lattice formation in a rotating Bose-Einstein condensate
- An optical kaleidoscope using a single atom
- Motion of vortex lines in nonlinear wave mechanics
Cited by in corpus (34)
- Ring Dark Solitons and Vortex Necklaces in Bose-Einstein Condensates
- Vortex solitons: Old results and new perspectives
- Pattern Forming Dynamical Instabilities of Bose-Einstein Condensates: A Short Review
- Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates
- Vortex stability in nearly two-dimensional Bose-Einstein condensates with attraction
- Dynamics of Few Co-rotating Vortices in Bose-Einstein Condensates
- Dynamics of Vortex Dipoles in Confined Bose-Einstein Condensates
- Higher-order vortex solitons, multipoles, and supervortices on a square optical lattice
- Three-vortex configurations in trapped Bose-Einstein condensates
- Stability and dynamics of vortex clusters in nonrotated Bose-Einstein condensates
- Stability of excited states of a Bose-Einstein condensate in an anharmonic trap
- Bose-Einstein condensation: Twenty years after
- Size and dynamics of vortex dipoles in dilute Bose-Einstein condensates
- Dynamics of vortices in weakly interacting Bose-Einstein condensates
- Elliptic Vortices in Composite Mathieu Lattices
- Core sizes and dynamical instabilities of giant vortices in dilute Bose-Einstein condensates
- Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
- Symmetry, winding number and topological charge of vortex solitons in discrete-symmetry media
- Matter-wave solitons supported by dissipation
- Stabilization of ring dark solitons in Bose-Einstein condensates
- Symmetry-assisted vorticity control in Bose-Einstein condensates
- Observation of self-patterned defect formation in atomic superfluids -- from ring dark solitons to vortex dipole necklaces
- Dynamics of vortex quadrupoles in nonrotating trapped Bose-Einstein condensate
- Discrete multivortex solitons
- Topologically trapped vortex molecules in Bose-Einstein condensates
- Dynamics of dipoles and vortices in nonlinearly-coupled three-dimensional harmonic oscillators
- Asymmetric matter-wave solitons at nonlinear interfaces
- Neutral vortex necklace in a trapped planar superfluid
- Scattering of dipole-mode vector solitons: Theory and experiment
- Similarity Solution of the 3-phase Stefan Problem for Alloys with Arbitrary Temperature Dependent Properties
- Few-Particle Vortex Cluster Equilibria in Bose-Einstein Condensates: Existence and Stability
- Existence, stability and nonlinear dynamics of vortices and vortex clusters in anisotropic Bose-Einstein condensates
- Symmetry breaking and singularity structure in Bose-Einstein condensates
- Two-dimensional gap solitons in elliptic-lattice potentials