Cited by 102

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Topological protection of optical skyrmions through complex media

Wang, An Aloysius, Zhao, Zimo, Ma, Yifei, Cai, Yuxi, Zhang, Runchen, Shang, Xiaoyi, Zhang, Yunqi, Qin, Ji, Pong, Zhi-Kai, Marozsák, Tádé, Chen, Binguo, He, Honghui, Luo, Lin, Booth, Martin J., Elston, Steve J., Morris, Stephen M., He, Chao·2024·Light: Science & Applications

Abstract

Optical Skyrmions have many important properties that make them ideal units for high-density data applications, including the ability to carry digital information through a discrete topological number and the independence of spatially varying polarization to other dimensions. More importantly, the topological nature of the optical Skyrmion heuristically suggests a strong degree of robustness to perturbations, which is crucial for reliably carrying information in noisy environments. However, the study of the topological robustness of optical Skyrmions is still in its infancy. Here, we quantify this robustness precisely by proving that the topological nature of the Skyrmion arises from its structure on the boundary and, by duality, is resilient to spatially varying perturbations provided they respect the relevant boundary conditions of the unperturbed Skyrmion. We then present experimental evidence validating this robustness in the context of paraxial Skyrmion beams against complex polarization aberrations. Our work provides a framework for handling various perturbations of Skyrmion fields and offers guarantees of robustness in a general sense. This, in turn, has implications for applications of the Skyrmion where their topological nature is exploited explicitly, and, in particular, provides an underpinning for the use of optical Skyrmions in communications and computing.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/s41377-024-01659-z

Cites

5 of 5 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Classical skyrmions are robust to certain optical transformations, scattering media, and simulated atmospheric turbulence in controlled laboratory studies.

    “It has recently been demonstrated in controlled laboratory studies that classical skyrmions are robust to certain optical transformations (53), scattering media (54), and simulated atmospheric turbulence (55, 56).”
  • This report offers the first experimental results on the resilience of quantum skyrmions to noise.

    “This report offers, to the best of our knowledge, the first experimental results on the resilience of quantum skyrmions to noise, confirming that such quantum channels are map preserving: they can be viewed as a smooth deformation of the state (map) and thus preserves topology even when the entanglement itself is decaying.”

    From Topological rejection of noise by quantum skyrmions (2025) · cites this paper as [44]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 50

  1. Nagaosa, N. & Tokura, Y. Topological properties and dynamics of magnetic skyrmions. Nat. Nanotechnol. 8, 899–911 (2013). · DOI
  2. Yu, X. Z. et al. Real-space observation of a two-dimensional skyrmion crystal. Nature 465, 901–904 (2010). · DOI
  3. Shi, P., Du, L. P. & Yuan, X. C. Spin photonics: from transverse spin to photonic skyrmions. Nanophotonics 10, 3927–3943 (2021). · DOI
  4. Fert, A., Reyren, N. & Cros, V. Magnetic skyrmions: advances in physics and potential applications. Nat. Rev. Mater. 2, 17031 (2017). · DOI
  5. Cortés-Ortuño, D. et al. Thermal stability and topological protection of skyrmions in nanotracks. Sci. Rep. 7, 4060 (2017). · DOI
  6. Je, S. G. et al. Direct demonstration of topological stability of magnetic skyrmions via topology manipulation. ACS Nano 14, 3251–3258 (2020). · DOI
  7. Kang, W. et al. Voltage controlled magnetic skyrmion motion for racetrack memory. Sci. Rep. 6, 23164 (2016). · DOI
  8. Song, K. M. et al. Skyrmion-based artificial synapses for neuromorphic computing. Nat. Electron. 3, 148–155 (2020). · DOI
  9. Zhang, X. C., Ezawa, M. & Zhou, Y. Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions. Sci. Rep. 5, 9400 (2015). · DOI
  10. Gao, S. J. et al. Paraxial skyrmionic beams. Phys. Rev. A 102, 053513 (2020). · DOI · Paper page
  11. Du, L. P. et al. Deep-subwavelength features of photonic skyrmions in a confined electromagnetic field with orbital angular momentum. Nat. Phys. 15, 650–654 (2019). · DOI · Paper page
  12. He, C., Shen, Y. J. & Forbes, A. Towards higher-dimensional structured light. Light Sci. Appl. 11, 205 (2022). · DOI
  13. Bai, C. Y. et al. Dynamic tailoring of an optical skyrmion lattice in surface plasmon polaritons. Opt. Express 28, 10320–10328 (2020). · DOI · Paper page
  14. Lin, W. B. et al. Microcavity-based generation of full Poincaré beams with arbitrary skyrmion numbers. Phys. Rev. Res. 3, 023055 (2021). · DOI · Paper page
  15. Shen, Y. J. et al. Supertoroidal light pulses as electromagnetic skyrmions propagating in free space. Nat. Commun. 12, 5891 (2021). · DOI
  16. Cisowski, C., Ross, C. & Franke-Arnold, S. Building paraxial optical skyrmions using rational maps. Adv. Photonics Res. 4, 2200350 (2023). · DOI
  17. He, C. et al. Complex vectorial optics through gradient index lens cascades. Nat. Commun. 10, 4264 (2019). · DOI
  18. Shi, P., Du, L. P. & Yuan, X. C. Strong spin–orbit interaction of photonic skyrmions at the general optical interface. Nanophotonics 9, 4619–4628 (2020). · DOI · Paper page
  19. Lei, X. R. et al. Photonic spin lattices: symmetry constraints for skyrmion and meron topologies. Phys. Rev. Lett. 127, 237403 (2021). · DOI · Paper page
  20. Liu, C. X. et al. Disorder-induced topological state transition in the optical skyrmion family. Phys. Rev. Lett. 129, 267401 (2022). · DOI · Paper page
  21. Shen, Y. J. et al. Topologically controlled multiskyrmions in photonic gradient-index lenses. Phys. Rev. Appl. 21, 024025 (2024). · DOI
  22. Skyrme, T. H. R. A non-linear field theory. Proc. R. Soc. A Math. Phys. Eng. Sci. 260, 127–138 (1961).
  23. Evans, L. C. Partial Differential Equations 2nd edn, (American Mathematical Society, 2010). · DOI
  24. Ornelas, P. et al. Non-local skyrmions as topologically resilient quantum entangled states of light. Nat. Photonics 18, 258–266 (2024). · DOI · Paper page
  25. He, C. et al. A universal optical modulator for synthetic topologically tuneable structured matter. Print at https://doi.org/10.48550/arXiv.2311.18148 (2023). · DOI
  26. Teng, H. A. et al. Physical conversion and superposition of optical skyrmion topologies. Photonics Res. 11, 2042–2053 (2023). · DOI
  27. Al Khawaja, U. & Stoof, H. Skyrmions in a ferromagnetic Bose–Einstein condensate. Nature 411, 918–920 (2001). · DOI
  28. Meng, F. F. et al. Measuring the magnetic topological spin structure of light using an anapole probe. Light Sci. Appl. 11, 287 (2022). · DOI
  29. Durrer, R., Kunz, M. & Melchiorri, A. Cosmic structure formation with topological defects. Phys. Rep. 364, 1–81 (2002). · DOI
  30. Smirnova, D. A., Nori, F. & Bliokh, K. Y. Water-wave vortices and skyrmions. Phys. Rev. Lett. 132, 054003 (2024). · DOI
  31. Foster, D. et al. Two-dimensional skyrmion bags in liquid crystals and ferromagnets. Nat. Phys. 15, 655–659 (2019). · DOI
  32. Ge, H. et al. Observation of acoustic skyrmions. Phys. Rev. Lett. 127, 144502 (2021). · DOI · Paper page
  33. Muelas-Hurtado, R. D. et al. Observation of polarization singularities and topological textures in sound waves. Phys. Rev. Lett. 129, 204301 (2022). · DOI · Paper page
  34. Cao, L. Y. et al. Observation of phononic skyrmions based on hybrid spin of elastic waves. Sci. Adv. 9, eadf3652 (2023). · DOI · Paper page
  35. Yang, B. et al. Scalar topological photonic nested meta-crystals and skyrmion surface states in the light cone continuum. Nat. Mater. 22, 1203–1209 (2023). · DOI
  36. Uhlenbeck, K. K. Removable singularities in Yang-Mills fields. Commun. Math. Phys. 83, 11–29 (1982). · DOI
  37. Belavin, A. A. et al. Pseudoparticle solutions of the yang-mills equations. Phys. Lett. B 59, 85–87 (1975). · DOI
  38. Kinsey, L. C.Topology of Surfaces (Springer, 2012).
  39. Chipman, R. A., Lam, W. S. T. & Young, G. Polarized Light and Optical Systems (CRC Press, 2018). · DOI
  40. McGuire, J. P. & Chipman, R. A. Polarization aberrations. 1. Rotationally symmetric optical systems. Appl. Opt. 33, 5080–5100 (1994). · DOI
  41. He, C., Antonello, J. & Booth, M. J. Vectorial adaptive optics. eLight 3, 23 (2023). · DOI
  42. He, C. et al. Polarisation optics for biomedical and clinical applications: a review. Light Sci. Appl. 10, 194 (2021). · DOI
  43. Gödecke, M. L., Frenner, K. & Osten, W. Model-based characterisation of complex periodic nanostructures by white-light Mueller-matrix Fourier scatterometry. Light Adv. Manuf. 2, 237–250 (2021).
  44. Wen, S. et al. Metasurface array for single-shot spectroscopic ellipsometry. Light Sci. Appl. 13, 88 (2024). · DOI
  45. Chen, C. et al. Neural network assisted high-spatial-resolution polarimetry with non-interleaved chiral metasurfaces. Light Sci. Appl. 12, 288 (2023). · DOI
  46. Hu, Q. et al. Arbitrary vectorial state conversion using liquid crystal spatial light modulators. Opt. Commun. 459, 125028 (2020). · DOI
  47. Naber, G. L. Topology, Geometry and Gauge fields Interactions 2nd edn (Springer, 2011). · DOI
  48. Lu, S. Y. & Chipman, R. A. Homogeneous and inhomogeneous Jones matrices. J. Opt. Soc. Am. A 11, 766–773 (1994). · DOI
  49. Gil, J. J. et al. Polarized light and the Mueller Matrix Approach 2nd edn (CRC Press, 2022). · DOI
  50. Ossikovski, R. Analysis of depolarizing Mueller matrices through a symmetric decomposition. J. Opt. Soc. Am. A 26, 1109–1118 (2009). · DOI

Cited by

Sorted by citations

Metadata

Authors
Wang, A. A., Zhao, Z., Ma, Y., Cai, Y., Zhang, R., Shang, X., Zhang, Y., Qin, J., Pong, Z.-K., Marozsák, T., Chen, B., He, H., Luo, L., Booth, M. J., Elston, S. J., Morris, S. M., & He, C.
Venue
Light: Science & Applications
Published
2024-11-22
Volume
13
Issue
1
ISSN
2047-7538
Cited by
102
References
5
Language
en

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review