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PreprintCC BY 4.0arXiv

Topological characterization of a reconfigurable synthetic-frequency SSH lattice on an integrated lithium-niobate platform

Abstract

Synthetic frequency dimensions provide a powerful and highly reconfigurable platform for topological photonics. However, experimentally identifying their topological phases remains challenging because these systems do not naturally provide well-defined boundaries or readily accessible edge-state signatures. Here, we realize a reconfigurable Su-Schrieffer-Heeger (SSH) lattice in a synthetic frequency dimension using an integrated thin-film lithium-niobate photonic molecule and directly measure its topology. Electro-optic coupling between staggered resonator supermodes enables independent control of the effective intra-cell and inter-cell hopping strengths, enabling dynamic switching between trivial and non-trivial topological phases on the same chip. We validate the transition through two independently derived bulk topological invariants: direct retrieval of Zak phase from time-resolved synthetic-dimension band-structure spectroscopy; and extraction of the winding number using mean-chiral-displacement method from site-resolved steady-state measurements. Both approaches consistently identify the topological transition and agree closely with theoretical predictions. Our results demonstrate experimentally accessible, boundary-independent methods for characterizing topology in synthetic-frequency lattices. More broadly, the integrated and dynamically reconfigurable photonic platform provides a scalable framework for bulk topological characterization and programmable topological photonic systems.

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BibTeX
@misc{dinh2026topological,
  title = {{Topological characterization of a reconfigurable synthetic-frequency SSH lattice on an integrated lithium-niobate platform}},
  author = {Hiep Xuan Dinh and Armandas Balčytis and Guanghui Ren and Mei Xian Low and Arnan Mitchell and Thach G. Nguyen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.21440},
  eprint = {2609.21440},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.21440},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Topological characterization of a reconfigurable synthetic-frequency SSH lattice on an integrated lithium-niobate platform
AU  - Hiep Xuan Dinh
AU  - Armandas Balčytis
AU  - Guanghui Ren
AU  - Mei Xian Low
AU  - Arnan Mitchell
AU  - Thach G. Nguyen
PY  - 2026
DA  - 2026/09/18
PB  - arXiv
DO  - 10.48550/arxiv.2609.21440
UR  - https://arxiv.org/abs/2609.21440
AB  - Synthetic frequency dimensions provide a powerful and highly reconfigurable platform for topological photonics. However, experimentally identifying their topological phases remains challenging because these systems do not naturally provide well-defined boundaries or readily accessible edge-state signatures. Here, we realize a reconfigurable Su-Schrieffer-Heeger (SSH) lattice in a synthetic frequency dimension using an integrated thin-film lithium-niobate photonic molecule and directly measure its topology. Electro-optic coupling between staggered resonator supermodes enables independent control of the effective intra-cell and inter-cell hopping strengths, enabling dynamic switching between trivial and non-trivial topological phases on the same chip. We validate the transition through two independently derived bulk topological invariants: direct retrieval of Zak phase from time-resolved synthetic-dimension band-structure spectroscopy; and extraction of the winding number using mean-chiral-displacement method from site-resolved steady-state measurements. Both approaches consistently identify the topological transition and agree closely with theoretical predictions. Our results demonstrate experimentally accessible, boundary-independent methods for characterizing topology in synthetic-frequency lattices. More broadly, the integrated and dynamically reconfigurable photonic platform provides a scalable framework for bulk topological characterization and programmable topological photonic systems.
ER  -