Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
Open accessAbstract
We show that a single ring resonator undergoing dynamic modulation can be used to create a synthetic space with an arbitrary dimension. In such a system, the phases of the modulation can be used to create a photonic gauge potential in high dimensions. As an illustration of the implication of this concept, we show that the Haldane model, which exhibits nontrivial topology in two dimensions, can be implemented in the synthetic space using three rings. Our results point to a route toward exploring higher-dimensional topological physics in low-dimensional physical structures. The dynamics of photons in such synthetic spaces also provides a mechanism to control the spectrum of light.
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The authors demonstrate SU(2) lattice gauge fields for photons in the platform of synthetic frequency dimensions.
“Here, we demonstrate non-Abelian lattice gauge fields for photons.”
From Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions (2025) · cites this paper as [43]
The Abstract (p. 1) says modulation phases create a photonic gauge potential in synthetic space, and Section III (p. 6) proposes a Haldane model using three resonators. Neither passage supports the more specific attribution of SU(2), non-Abelian lattice gauge fields. (LLM, conf=0.88)
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Cites
Nanophotonic lithium niobate electro-optic modulators
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Photonic topological boundary pumping as a probe of 4D quantum Hall physics
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Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
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Photonic Weyl point in a two-dimensional resonator lattice with a synthetic frequency dimension
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Self-citationYuan, L., & Fan, S. (2016) · Optica · doi:10.1364/optica.3.001014 · Cited by 136 · see citing works
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Research works printed but not linked: 1
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Experimental band structure spectroscopy along a synthetic dimension
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Non-Abelian lattice gauge fields in photonic synthetic frequency dimensions
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“2(b) [52, 53].”
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- Authors
- Yuan, L., Xiao, M., Lin, Q., & Fan, S.
- Affiliations
- Stanford University (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2018-03-19
- Volume
- 97
- Issue
- 10
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2763908184
- Cited by
- 98
- References
- 6
- Citations by year
- 2026: 6 · 2025: 16 · 2024: 6 · 2023: 12 · 2022: 10 · 2021: 14 · 2020: 11 · 2019: 13 · 2018: 9 · 2013: 1
- FWCI
- 5.43
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical review. B./Physical review. B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Figshare (submittedVersion, public-domain)
- arXiv (Cornell University)
- Funders
- Air Force Office of Scientific Research (FA9550-12-1-0488, FA9550-17-1-0002)
- National Science Foundation (CBET-1641069)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Keywords
- synthetic dimensions, ring resonator, dynamic modulation, Haldane model, higher-dimensional topology, topological photonics, photon dynamics, spectral control
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