Multi-component vortex solitons: stability vs. angular momentum
Abstract:
We examine the linear stability problem for a vortex soliton with infinitely
many mutually incoherent components interacting via degenerate Kerr-type
nonlinearity. Due to the rotational symmetry, the linear stability problem
reduces to the two-component system with the total angular momentum (a
vortex spin) as a control parameter. Stabilization of the composite vortices
with a smaller spin is demonstrated numerically.