Quantized Transport of Gap Solitons in the Harper-Hofstadter Model

arXiv:2609.21917 · physics.optics, cond-mat.mes-hall, cond-mat.quant-gas · Submitted 2026-09-18 · Read on arXiv

physics.optics, cond-mat.mes-hall, cond-mat.quant-gas

Submitted: 2026-09-18

Updated: 2026-09-18

Terminology

• Chern Number — 13× in this paper · explained in 4 episodes
• Berry Curvature — 5× in this paper · explained in 3 episodes
• Quantization — 3× in this paper · explained in 12 episodes
• Steering — 3× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Inverse Participation Ratio (IPR) — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Composite Quantum Geometry and Semiclassical Dynamics
• Topological Pumping Through a Localized Bulk in a Photonic Hofstadter System
• Quantized nonlinear kink movement through topological boundary state instabilities

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