6533b827fe1ef96bd12865b8

RESEARCH PRODUCT

Topological charge selection rule for phase singularities

Mario ZacarésJavier VijandeJavier VijandeMiguel ÁNgel García-marchAlbert FerrandoE. MerinoE. Merino

subject

PhysicsCharge conservationSingularity theoryRotational symmetryFOS: Physical sciencesFísicaPattern Formation and Solitons (nlin.PS)ÒpticaNonlinear Sciences - Pattern Formation and SolitonsAtomic and Molecular Physics and OpticsAction (physics)Symmetry (physics)VortexClassical mechanicsGravitational singularityTopological quantum number

description

We present a study of the dynamics and decay pattern of phase singularities due to the action of a system with a discrete rotational symmetry of finite order. A topological charge conservation rule is identified. The role played by the underlying symmetry is emphasized. An effective model describing the short range dynamics of the vortex clusters has been designed. A method to engineer any desired configuration of clusters of phase singularities is proposed. Its flexibility to create and control clusters of vortices is discussed.

https://doi.org/10.1103/physreva.80.043812