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Cited by 52Topological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic Systems

Multidimensional synthetic chiral-tube lattices via nonlinear frequency conversion

Open access
Wang, Kai, Bell, Bryn A., Solntsev, Alexander S., Neshev, Dragomir N., Eggleton, Benjamin J., Sukhorukov, Andrey A.·2020·Light: Science & Applications
DOI 10.1038/s41377-020-0299-7PMC PMC7371864
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Abstract

Geometrical dimensionality plays a fundamentally important role in the topological effects arising in discrete lattices. Although direct experiments are limited by three spatial dimensions, the research topic of synthetic dimensions implemented by the frequency degree of freedom in photonics is rapidly advancing. The manipulation of light in these artificial lattices is typically realized through electro-optic modulation; yet, their operating bandwidth imposes practical constraints on the range of interactions between different frequency components. Here we propose and experimentally realize all-optical synthetic dimensions involving specially tailored simultaneous short- and long-range interactions between discrete spectral lines mediated by frequency conversion in a nonlinear waveguide. We realize triangular chiral-tube lattices in three-dimensional space and explore their four-dimensional generalization. We implement a synthetic gauge field with nonzero magnetic flux and observe the associated multidimensional dynamics of frequency combs, all within one physical spatial port. We anticipate that our method will provide a new means for the fundamental study of high-dimensional physics and act as an important step towards using topological effects in optical devices operating in the time and frequency domains.

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  • If such a closed loop in the Brillouin zone encircles a Dirac point, the winding of the trajectory can be associated with the topological charge of the Dirac point.

    “If such a closed loop in the Brillouin zone encircles a Dirac point, the winding of the trajectory can be associated with the topological charge of the Dirac point [44,45].”

    From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [44]

    The Introduction discusses gauge-field flux around an area, and the Results section on quantum walks analyzes reciprocal-space dispersion, but neither relates a trajectory’s winding to a Dirac point’s topological charge. Searches for “Dirac” and “winding number Brillouin zone topological charge” found no passage addressing that relationship. The indexed passages provide section labels but no page numbers. (LLM, conf=0.72)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 24

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Sorted by citations

Authors
Wang, K., Bell, B. A., Solntsev, A. S., Neshev, D. N., Eggleton, B. J., & Sukhorukov, A. A.
Affiliations
  • Australian National University (AU)
  • The University of Sydney (AU)
  • University of Technology Sydney (AU)
Corresponding author
  • Wang, Kai
  • Sukhorukov, Andrey A.
ORCID
Venue
Light: Science & Applications
Publisher
Springer Science and Business Media LLC
Published
2020-07-20
Volume
9
Issue
1
Pages
132-132
ISSN
2047-7538 (ISSN-L)
DOI
10.1038/s41377-020-0299-7
PMC
PMC7371864
OpenAlex
W3007906857
Cited by
52
References
3
Citations by year
2026: 3 · 2025: 10 · 2024: 8 · 2023: 7 · 2022: 7 · 2021: 14 · 2020: 3
FWCI
3.15
Type
journal article
Language
en
Open access
Licence
Locations
  • Light Science & Applications (publishedVersion, cc-by)
  • PubMed Central (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • OPUS - Open Publications of UTS Scholars (University of Technology Sydney) (submittedVersion, other-oa)
  • Figshare (submittedVersion, cc-by)
  • ANU Open Research (Australian National University) (submittedVersion, cc-by)
  • UTS ePRESS (University of Technology Sydney) (submittedVersion, other-oa)
  • arXiv (Cornell University)
Funders
Department of Education and Training | Australian Research Council (DP160100619, DP190100277, CE110001018, FL120100029)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
Keywords
synthetic dimensions, nonlinear frequency conversion, frequency combs, topological photonics, multidimensional lattice, nonlinear waveguides, synthetic magnetic flux

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