Symplectic Hopf Insulator: Delicate Topology in Bosonic Bogoliubov-de Gennes Systems

arXiv:2609.10541 · cond-mat.mes-hall, cond-mat.quant-gas, quant-ph · Submitted 2026-09-09 · Read on arXiv

cond-mat.mes-hall, cond-mat.quant-gas, quant-ph

Submitted: 2026-09-09

Updated: 2026-09-22

Code: https://github.com/isaac-tes/SymplecticHopfInsulator_zenodo

Terminology

• Chern Number — 15× in this paper · explained in 4 episodes
• Generalization — 9× in this paper · explained in 13 episodes
• Berry Curvature — 8× in this paper · explained in 3 episodes
• Bogoliubov-de Gennes — 8× in this paper
• Quantization — 4× in this paper · explained in 12 episodes
• Hubbard Model — 3× in this paper · explained in 3 episodes
• Phase Transitions — 3× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• Hopf Exceptional Points
• Bosonic Andreev bound state
• Topological Optical Chirality Dichroism
• Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter

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