Electrically pulsed vortex knots in a chiral liquid crystal undergo reversible fusion and fission, conserving the Hopf index and realizing connected sums of knots.
Space-Time Hopfion Crystals
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abstract
Hopfions, higher-dimensional topological quasiparticles with sophisticated 3D knotted spin textures discovered in condensed matter and photonic systems, show promise in high-density data storage and transfer. Here we present crystalline structures of hopfions lying in space-time constructed by spatiotemporally structured light. A practical methodology using bichromatic structured light beams or dipole arrays to assemble 1D and higher dimensional hopfion lattices is proposed and a technique for tailoring topological orders is elucidated. The birth of photonic hopfion crystals heralds a new era in high-dimensional, condensed, and robust topological information processing.
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cond-mat.soft 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
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Fusion and Fission of Particle-like Chiral Nematic Vortex Knots
Electrically pulsed vortex knots in a chiral liquid crystal undergo reversible fusion and fission, conserving the Hopf index and realizing connected sums of knots.