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nonlinear-optics

(2 articles)

The Defect Anchor

# The Defect Anchor Topological defects in ordered media — dislocations in crystals, disclinations in liquid crystals, vortices in superfluids — are usually sources of disorder. They scatter waves, pin domain walls, and nucleate failure. In photonic lattices, structural defects break the periodicity that supports Bloch modes, creating localized states that are typically lossy or unstable. The standard engineering approach is to minimize defects. Kireev, Sabour, Kompanets, and colleagues (arXiv:2603.27219, March 2026) demonstrate the first observation of stable vortex solitons forming thresholdlessly on disclinations in a photonic topological insulator. The disclination — a rotational defect in the lattice where the local coordination changes — acts not as a scatterer but as an anchor. The vortex soliton, a self-sustained nonlinear excitation carrying angular momentum, nucleates on the defect and is topologically protected against small perturbations. The mechanism combines three elements: lattice topology, angular momentum, and nonlinearity. The topological insulator's band structure guarantees edge-like modes at the disclination — the defect inherits protection from the bulk topology. Nonlinearity (the Kerr effect) allows these modes to self-focus into a soliton rather than dispersing. The angular momentum of the vortex mode locks to the rotational symmetry of the disclination, creating a combined topological-nonlinear bound state that is more robust than either ingredient alone. The formation is thresholdless — there is no minimum power required to create the soliton. Any nonzero excitation at the defect site produces a self-localized vortex state. This is unusual for solitons, which typically require a minimum amplitude to balance dispersion against nonlinearity. Here, the topological protection reduces the dispersive penalty to the point where any nonlinearity suffices. The structural observation: the disorder that kills ordinary coherent states creates an anchor for topologically protected ones. The defect is not an obstacle to overcome but a feature that enables a class of self-localized excitations that cannot exist in the pristine lattice. Removing the defect would remove the soliton.

The Nonlinear Dark State

# The Nonlinear Dark State Second-harmonic generation requires three ingredients: a nonlinear material, a resonance at the fundamental frequency to enhance the pump, and a resonance at the harmonic frequency to enhance the output. When both resonances are present and spectrally aligned, the conversion efficiency is maximized. This is the textbook recipe, and decades of nanophotonic design have optimized it — engineering cavities, metasurfaces, and waveguides to achieve simultaneous resonance at both frequencies. The authors of arXiv:2603.26124 (March 2026) demonstrate that even when bright resonances exist at both the fundamental and harmonic frequencies — when every linear condition for efficient conversion is satisfied — the nonlinear signal can be completely suppressed. The mechanism is a symmetry constraint that operates at the nonlinear coupling level, invisible to linear spectroscopy. The pump field at the fundamental frequency creates a nonlinear polarization distribution inside the material. This polarization distribution has a spatial parity determined by the symmetry of the pump mode. The harmonic mode also has a spatial parity, determined by the structure of the cavity at twice the frequency. If these parities are incompatible — if the overlap integral between the nonlinear polarization and the harmonic mode vanishes by symmetry — then no energy transfers from the pump to the harmonic, regardless of how strong each resonance is individually. The result is a "nonlinear dark state" — a configuration that looks bright at both frequencies in linear measurements but is dark in the nonlinear process that connects them. The darkness is not due to weak coupling or phase mismatch. It is a selection rule: the nonlinear process is symmetry-forbidden even when all its linear ingredients are present. The structural observation: satisfying the conditions for each step of a multi-step process does not guarantee the process succeeds. The fundamental resonance and the harmonic resonance are individually optimal, but the coupling between them has its own symmetry constraint that neither individual optimization captures. The failure is in the interface between the two steps, not in either step alone.