English

Generation and manipulation of multipole and vortex events in (1+1)-dimensional spacetime

Optics 2026-08-01 v1

Abstract

An event is usually regarded as a zero-dimensional coordinate label in spacetime, rather than as an object with spatial extent, internal structure or topology. Here we show that in nonlinear photonic spacetime crystals, a complete energy-momentum gap (ωk\omega k-gap) suppresses extended radiation channels, while Kerr self-trapping localizes an optical occurrence in the physical (x,t)(x,t) plane. Imposing and relaxing symmetry constraints then yields multipole and vortex events with distinct internal structure. Their spacetime action of these states establishes a hierarchy of structural cost, Bogoliubov-de Gennes spectra distinguish phase-winding vortices from real-valued multipoles, and initial-value reconstructions provide an independent robustness check together with a finite preparation window. Using representative optical parameters, we predict that these structured events span transverse scales of 30-60 μ\mum and temporal duration of 85-170 fs. These results suggest that an event can be treated not only as a point label, but also as a localized wave object with controllable internal degrees of freedom, offering a route to wave control in time-varying nonlinear media.

Keywords

Cite

@article{arxiv.2608.00618,
  title  = {Generation and manipulation of multipole and vortex events in (1+1)-dimensional spacetime},
  author = {Yiming Pan and Guowei Chen},
  journal= {arXiv preprint arXiv:2608.00618},
  year   = {2026}
}

Comments

22 pages, 4 figures