Composite vortices in nonlinear circular waveguide arrays
arXiv:1212.4208 · doi:10.1088/2040-8978/15/4/044016
Abstract
It is known that, in continuous media, composite solitons with hidden vorticity, which are built of two mutually symmetric vortical components whose total angular momentum is zero, may be stable while their counterparts with explicit vorticity and nonzero total angular momentum are unstable. In this work, we demonstrate that the opposite occurs in discrete media: hidden vortex states in relatively small ring chains become unstable with the increase of the total power, while explicit vortices are stable, provided that the corresponding scalar vortex state is also stable. There are also stable mixed states, in which the components are vortices with different topological charges. Additionally, degeneracies in families of composite vortex modes lead to the existence of long-lived breather states which can exhibit vortex charge fipping in one or both components.
14 pages, 6 figures, to appear in the Journal of Optics special issue "Singular Optics"
References in corpus (6)
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Cited by in corpus (9)
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- Immiscible and miscible states in binary condensates in the ring geometry
- Composite vortices in nonlinear circular waveguide arrays
- Nonlinear dynamics of Josephson vortices in merging superfluid rings
- Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
- Gyrating solitons in a necklace of optical waveguides
- Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices
- Vortex solitons in star networks
- Stabilization of three-wave vortex beams in the waveguide