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PreprintCC BY 4.0arXiv

Chiral Cavity Vacua as Local Generators and Probes of Non-Abelian Kitaev Topology

  • Yu Zhang
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Abstract

We show how a gyrotropic cavity vacuum generates, probes, and spatially programs non-Abelian topology in the Kitaev honeycomb model. Gauge-consistent virtual-photon elimination produces a universal helicity-odd interaction i[Px,Py] alongside same-order even dressing. For the leading bond polarization, this commutator is exactly the Kitaev three-spin mass. Mode normalization imposes a thermodynamic constraint: one extended normalized mode gives a local mass that vanishes with sample area, whereas a localized mode writes a finite topological island and a finite mode density enables a bulk mass. The exact Majorana solution yields helicity-reversed Chern gaps and edge propagation, while integrated circular dichroism exactly measures the mass generator, ⟨i[Px,Py]⟩=−√3p2⟨ O3⟩. Real-space calculations reveal a non-Abelian island and a helicity wall with two co-propagating Majorana modes. Uniform helicity reversal is a Dirac-mass quench with nex∝τQ−1, whereas moving a wall localizes the gap closing. The equilibrium vacuum kernel contains sum-frequency rather than resonant denominators. These results establish distinct criteria for local and bulk cavity-induced topology.

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Cite

BibTeXRIS
BibTeX
@misc{zhang2026chiral,
  title = {{Chiral Cavity Vacua as Local Generators and Probes of Non-Abelian Kitaev Topology}},
  author = {Yu Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30502},
  eprint = {2610.30502},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30502},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Chiral Cavity Vacua as Local Generators and Probes of Non-Abelian Kitaev Topology
AU  - Yu Zhang
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30502
UR  - https://arxiv.org/abs/2610.30502
AB  - We show how a gyrotropic cavity vacuum generates, probes, and spatially programs non-Abelian topology in the Kitaev honeycomb model. Gauge-consistent virtual-photon elimination produces a universal helicity-odd interaction i[P_x,P_y] alongside same-order even dressing. For the leading bond polarization, this commutator is exactly the Kitaev three-spin mass. Mode normalization imposes a thermodynamic constraint: one extended normalized mode gives a local mass that vanishes with sample area, whereas a localized mode writes a finite topological island and a finite mode density enables a bulk mass. The exact Majorana solution yields helicity-reversed Chern gaps and edge propagation, while integrated circular dichroism exactly measures the mass generator, ⟨i[P_x,P_y]⟩=−√3p^2⟨ O_3⟩. Real-space calculations reveal a non-Abelian island and a helicity wall with two co-propagating Majorana modes. Uniform helicity reversal is a Dirac-mass quench with n_ex∝τ_Q^−1, whereas moving a wall localizes the gap closing. The equilibrium vacuum kernel contains sum-frequency rather than resonant denominators. These results establish distinct criteria for local and bulk cavity-induced topology.
ER  -