Synthetic SU(1,1) Gauge Control of Non-Hermitian Light

@misc{xiao2026synthetic,
  title = {{Synthetic SU(1,1) Gauge Control of Non-Hermitian Light}},
  author = {Wanyue Xiao and Ruo-Yang Zhang and Yuqiong Cheng and Shubo Wang},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15262},
  eprint = {2609.15262},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15262},
}

TY  - UNPB
TI  - Synthetic SU(1,1) Gauge Control of Non-Hermitian Light
AU  - Wanyue Xiao
AU  - Ruo-Yang Zhang
AU  - Yuqiong Cheng
AU  - Shubo Wang
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15262
UR  - https://arxiv.org/abs/2609.15262
AB  - Synthetic gauge fields enable nontrivial light control but remain largely restricted to compact groups such as U(1) and SU(2). Here, we study paraxial light propagation under a noncompact SU(1,1) gauge field realized in a non-Hermitian medium. Under this field, light evolves pseudo-unitarily and conserves pseudo-intensity despite material gain or loss. The gauge field drives Lorentzian precession of the optical pseudospin on a Bloch hyperboloid, producing rotations, boosts, and exceptional-point critical dynamics in an internal Minkowski space. A non-Abelian Lorentz force converts these internal dynamics into real-space oscillatory, hyperbolic, and cubic pseudo-intensity centroid trajectories, even in a uniform medium, while light of opposite pseudo-intensity can drift oppositely-a non-Hermitian spin-Hall-like effect. Our results connect non-Hermitian wave physics with noncompact gauge dynamics and reveal hidden conserved quantities in non-Hermitian light transport.
ER  -