Robust Three-Dimensional High-Order Solitons and Breathers in Driven Dissipative Systems: A Kerr Cavity Realization

Dissipative three-dimensional topological optical solitons with crossed localization of polarization components

We present a new, to the best of our knowledge, type of vector three-dimensional dissipative optical solitons with more extended degrees of freedom in a laser or laser medium with saturable absorption. These solitons are reconfigurable, include polarization singularities, and have various mutual orientations of nearly toroidal localization domains of polarization components. Numerical modeling confirms the stability of these solitons and breathers and reveals their symmetry and even "supersymmetry," as well as transformations when parameters leave the stability region. These solitons, which have no scalar analogs, are capable of carrying more than one bit of information. Our results expand the "alphabet" of solitons and can provide a route to breakthroughs in larger-capacity communication and information applications.

Multimode resonance transition to collapsed snaking in normal dispersive Kerr cavities: bright versus dark solitons

We study the dynamics of Kerr cavity solitons in the normal dispersion regime in the presence of an intracavity phase modulation. The associated parabolic potential introduces multimode resonances, which promote the formation of high-order bright solitons. By gradually reducing the potential strength, bright solitons undergo a transition into dark solitons. We describe this process as a shift from a multimode resonance to a collapsed snaking bifurcation structure. This work offers a comprehensive overview of cavity dynamics and may provide a potential pathway to access multi-stable states by effectively varying the phase modulation.