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PreprintCC BY 4.0arXiv

Interferometric Readout of Momentum-Space Topology in a Programmable Dissipative Photonic Circuit

  • Andrea Cataldo
  • Emil J. Bergholtz
  • Daniel Leykam
  • Jun Gao
  • Ali W. Elshaari
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Abstract

Topology under non-Hermitian dynamics is encoded in the phase of the bulk evolution, yet strong dissipation suppresses the amplitudes carrying it. We resolve this using a programmable photonic integrated circuit that implements such dynamics in synthetic momentum space through unitary dilation, with the phase recovered by phase-shifted interferometry. For the non-Hermitian Su-Schrieffer-Heeger model, the method distinguishes trivial and non-trivial Zak phases and yields a coherence winding q=± 1 induced by an exceptional point. Extending to a synthetic torus via a Rice-Mele pump gives the first Chern number Ch1=0,1 for trivial and non-trivial cycles, showing a programmable route to momentum-space topology under strongly dissipative non-Hermitian dynamics.

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Cite

BibTeXRIS
BibTeX
@misc{cataldo2026interferometric,
  title = {{Interferometric Readout of Momentum-Space Topology in a Programmable Dissipative Photonic Circuit}},
  author = {Andrea Cataldo and Emil J. Bergholtz and Daniel Leykam and Jun Gao and Ali W. Elshaari},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.38352},
  eprint = {2609.38352},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.38352},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Interferometric Readout of Momentum-Space Topology in a Programmable Dissipative Photonic Circuit
AU  - Andrea Cataldo
AU  - Emil J. Bergholtz
AU  - Daniel Leykam
AU  - Jun Gao
AU  - Ali W. Elshaari
PY  - 2026
DA  - 2026/09/29
PB  - arXiv
DO  - 10.48550/arxiv.2609.38352
UR  - https://arxiv.org/abs/2609.38352
AB  - Topology under non-Hermitian dynamics is encoded in the phase of the bulk evolution, yet strong dissipation suppresses the amplitudes carrying it. We resolve this using a programmable photonic integrated circuit that implements such dynamics in synthetic momentum space through unitary dilation, with the phase recovered by phase-shifted interferometry. For the non-Hermitian Su-Schrieffer-Heeger model, the method distinguishes trivial and non-trivial Zak phases and yields a coherence winding q=± 1 induced by an exceptional point. Extending to a synthetic torus via a Rice-Mele pump gives the first Chern number Ch_1=0,1 for trivial and non-trivial cycles, showing a programmable route to momentum-space topology under strongly dissipative non-Hermitian dynamics.
ER  -