Long-range-interacting topological photonic lattices breaking channel-bandwidth limit

Gyunghun Kim; Joseph Suh; Dayeong Lee; Namkyoo Park; Sunkyu Yu

doi:10.1038/s41377-024-01557-4

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Long-range-interacting topological photonic lattices breaking channel-bandwidth limit

Original Articles

- Long-range-interacting topological photonic lattices breaking channel-bandwidth limit
- Long-range-interacting topological photonic lattices breaking channel-bandwidth limit
- LSA 2024年13卷第10期页码：2367-2375
- Affiliations：
  
  1.Department of Electrical and Computer Engineering, Intelligent Wave Systems Laboratory, Seoul National University, Seoul 08826, Korea
  2.Department of Electrical and Computer Engineering, Photonic Systems Laboratory, Seoul National University, Seoul 08826, Korea
- Author bio：
  
  Namkyoo Park (nkpark@snu.ac.kr)
  Sunkyu Yu (sunkyu.yu@snu.ac.kr)
- Funds：
- DOI：10.1038/s41377-024-01557-4
  中图分类号：
- 收稿日期：2024-02-04，
  
  修回日期：2024-07-16，
  
  录用日期：2024-07-25，
  
  网络出版日期：2024-09-02，
  
  纸质出版日期：2024-10-31
- Accepted：
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Long-range-interacting topological photonic lattices breaking channel-bandwidth limit[J]. LSA, 2024,13(10):2367-2375.

Kim, G. et al. Long-range-interacting topological photonic lattices breaking channel-bandwidth limit. Light: Science & Applications, 13, 2367-2375 (2024).
Long-range-interacting topological photonic lattices breaking channel-bandwidth limit[J]. LSA, 2024,13(10):2367-2375. DOI： 10.1038/s41377-024-01557-4.

Kim, G. et al. Long-range-interacting topological photonic lattices breaking channel-bandwidth limit. Light: Science & Applications, 13, 2367-2375 (2024). DOI： 10.1038/s41377-024-01557-4.

摘要

Abstract

The presence of long-range interactions is crucial in distinguishing between abstract complex networks and wave systems. In photonics

because electromagnetic interactions between optical elements generally decay rapidly with spatial distance

most wave phenomena are modeled with neighboring interactions

which account for only a small part of conceptually possible networks. Here

we explore the impact of substantial long-range interactions in topological photonics. We demonstrate that a crystalline structure

characterized by long-range interactions in the absence of neighboring ones

can be interpreted as an overlapped lattice. This overlap model facilitates the realization of higher values of topological invariants while maintaining bandgap width in photonic topological insulators. This breaking of topology-bandgap tradeoff enables topologically protected multichannel signal processing with broad bandwidths. Under practically accessible system parameters

the result paves the way to the extension of topological physics to network science.

关键词

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references

Klitzing, K. V., Dorda, G. & Pepper, M. New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance. Phys. Rev. Lett. 45 , 494–497 (1980)..

Thouless, D. J. et al. Q uantized Hall conductance in a two-dimensional periodic potential. Phys. Rev. Lett. 49 , 405–408 (1982)..

Haldane, F. D. M. Model for a quantum Hall effect without Landau levels: condensed-matter realization of the "parity anomaly". Phys. Rev. Lett. 61 , 2015–2018 (1988)..

Ozawa, T. et al. Topological photonics. Rev. Mod. Phys. 91 , 015006 (2019)..

Raghu, S. & Haldane, F. D. M. Analogs of quantum-Hall-effect edge states in photonic crystals. Phys. Rev. A 78 , 033834 (2008)..

Wang, Z. et al. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461 , 772–775 (2009)..

Khanikaev, A. B. et al. Photonic topological insulators. Nat. Mater. 12 , 233–239 (2013)..

Cheng, X. et al. Robust reconfigurable electromagnetic pathways within a photonic topological insulator. Nat. Mater. 15 , 542–548 (2016)..

Fang, K., Yu, Z. & Fan, S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photonics 6 , 782–787 (2012)..

Hafezi, M. et al. Robust optical delay lines with topological protection. Nat. Phys. 7 , 907–912 (2011)..

Umucalılar, R. O. & Carusotto, I. Artificial gauge field for photons in coupled cavity arrays. Phys. Rev. A 84 , 043804 (2011)..

Yuan, L. et al. Synthetic dimension in photonics. Optica 5 , 1396–1405 (2018)..

Kumar, A. et al. Terahertz topological photonic integrated circuits for 6 G and beyond: a perspective. J. Appl. Phys. 132 , 140901 (2022)..

Ruan, Y. et al. Applications for wavelength division multiplexers based on topological photonic crystals. Photonics Res. 11 , 569–574 (2023)..

Bandres, M. A. et al. Topological insulator laser: experiments. Science 359 , eaar4005 (2018)..

Yuan, L. & Fan, S. Bloch oscillation and unidirectional translation of frequency in a dynamically modulated ring resonator. Optica 3 , 1014–1018 (2016)..

Choi, S. et al. Topologically protected all-optical memory. Adv. Electron. Mater. 8 , 2200579 (2022)..

Skirlo, S. A. et al. Experimental observation of large Chern numbers in photonic crystals. Phys. Rev. Lett. 115 , 253901 (2015)..

Joannopoulos, J. D. et al. Photonic crystals: molding the flow of light 2nd edn. (Princeton: Princeton University Press, 2008).

Forrow, A., Woodhouse, F. G. & Dunkel, J. Functional control of network dynamics using designed Laplacian spectra. Phys. Rev. X 8 , 041043 (2018)..

Li, M. et al. Higher-order topological states in photonic kagome crystals with long-range interactions. Nat. Photonics 14 , 89–94 (2020)..

Kraus, Y. E. et al. Topological states and adiabatic pumping in quasicrystals. Phys. Rev. Lett. 109 , 106402 (2012)..

Tran, D. T. et al. Topological Hofstadter insulators in a two-dimensional quasicrystal. Phys. Rev. B 91 , 085125 (2015)..

Dutt, A. et al. Higher-order topological insulators in synthetic dimensions. Light Sci. Appl. 9 , 131 (2020)..

Hofstadter, D. R. Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields. Phys. Rev. B 14 , 2239–2249 (1976)..

Harper, P. G. Single band motion of conduction electrons in a uniform magnetic field. Proc. Phys. Soc. Sect. A 68 , 874–878 (1955)..

Peierls, R. Zur Theorie des Diamagnetismus von Leitungselektronen. Z. Phys. 80 , 763–791 (1933)..

Liang, G. Q. & Chong, Y. D. Optical resonator analog of a two-dimensional topological insulator. Phys. Rev. Lett. 110 , 203904 (2013)..

Lustig, E. et al. Photonic topological insulator in synthetic dimensions. Nature 567 , 356–360 (2019)..

Hatsugai, Y. Chern number and edge states in the integer quantum Hall effect. Phys. Rev. Lett. 71 , 3697–3700 (1993)..

Leykam, D. & Yuan, L. Topological phases in ring resonators: recent progress and future prospects. Nanophotonics 9 , 4473–4487 (2020)..

Avron, J. E. Colored Hofstadter butterflies. In Multiscale Methods in Quantum Mechanics: Theory and Experiment (eds Blanchard, P. & Dell'Antonio, G.) 11−22 (Boston: Birkhäuser, 2004).

Wannier, G. H. A result not dependent on rationality for Bloch electrons in a magnetic field. Phys. Status Solidi 88 , 757–765 (1978)..

Zhao, Y. F. et al. Tuning the Chern number in quantum anomalous Hall insulators. Nature 588 , 419–423 (2020)..

Wang, Y. X. & Li, F. High Chern number phase in topological insulator multilayer structures. Phys. Rev. B 104 , 035202 (2021)..

Bosnar, M. et al. High Chern number van der Waals magnetic topological multilayers MnBi 2 Te 4 /hBN. npj 2D Mater. Appl. 7 , 33 (2023)..

Han, Y., Pan, S. & Qiao, Z. Topological junctions in high-Chern-number quantum anomalous Hall systems. Phys. Rev. B 108 , 115302 (2023)..

Johnson, M., Thompson, M. G. & Sahin, D. Low-loss, low-crosstalk waveguide crossing for scalable integrated silicon photonics applications. Opt. Express 28 , 12498–12507 (2020)..

Groth, C. W. et al. Kwant: a software package for quantum transport. N. J. Phys. 16 , 063065 (2014)..

Ozawa, T. & Price, H. M. Topological quantum matter in synthetic dimensions. Nat. Rev. Phys. 1 , 349–357 (2019)..

Zhang, Z. Q. et al. Topological Anderson insulator in electric circuits. Phys. Rev. B 100 , 184202 (2019)..

Olekhno, N. A. et al. Experimental realization of topological corner states in long-range-coupled electrical circuits. Phys. Rev. B 105 , L081107 (2022)..

Wang, Z. et al. Realization in circuits of a Chern state with an arbitrary Chern number. Phys. Rev. B 107 , L201101 (2023)..

Choi, J. H. et al. Room temperature electrically pumped topological insulator lasers. Nat. Commun. 12 , 3434 (2021)..

Liu, Y. G. N. et al. Engineering interaction dynamics in active resonant photonic structures. APL Photonics 6 , 050804 (2021)..

Liu, Y. G. N. et al. Gain-induced topological response via tailored long-range interactions. Nat. Phys. 17 , 704–709 (2021)..

Dutt, A. et al. A single photonic cavity with two independent physical synthetic dimensions. Science 367 , 59–64 (2020)..

Suh, J. et al. Photonic topological spin pump in synthetic frequency dimensions. Phys. Rev. Lett. 132 , 033803 (2024)..

Kim, M., Jacob, Z. & Rho, J. Recent advances in 2D, 3D and higher-order topological photonics. Light Sci. Appl. 9 , 130 (2020)..

Yu, S., Piao, X. & Park, N. Topological hyperbolic lattices. Phys. Rev. Lett. 125 , 053901 (2020)..

Gong, Z. X. et al. Topological phases with long-range interactions. Phys. Rev. B 93 , 041102 (2016)..

Agarwala, A. & Shenoy, V. B. Topological insulators in amorphous systems. Phys. Rev. Lett. 118 , 236402 (2017)..

Defenu, N. et al. Long-range interacting quantum systems. Rev. Mod. Phys. 95 , 035002 (2023)..

Tidy3D, the full-wave simulator employing the finite-difference time-domain (FDTD) method, developed by Flexcompute, Inc. https://www.flexcompute.com/tidy3d/solver/ https://www.flexcompute.com/tidy3d/solver/ (2024).

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