Observation of photonic anomalous Floquet topological insulators

Abstract

Topological insulators are a new class of materials that exhibit robust and scatter-free transport along their edges — independently of the fine details of the system and of the edge — due to topological protection. To classify the topological character of two-dimensional systems without additional symmetries, one commonly uses Chern numbers, as their sum computed from all bands below a specific bandgap is equal to the net number of chiral edge modes traversing this gap. However, this is strictly valid only in settings with static Hamiltonians. The Chern numbers do not give a full characterization of the topological properties of periodically driven systems. In our work, we implement a system where chiral edge modes exist although the Chern numbers of all bands are zero. We employ periodically driven photonic waveguide lattices and demonstrate topologically protected scatter-free edge transport in such anomalous Floquet topological insulators.

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References 32

1. 1.

   von Klitzing K., 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 ).

   Not in our library

2. 2.

   König M. et al. Quantum spin Hall insulator state in HgTe quantum wells. Science 318, 766–770 (2007 ).

   Not in our library10.1126/science.1148047

3. 3.

   Kane C. L. & Mele E. J. Z2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005 ).

   Not in our library10.1103/physrevlett.95.146802

4. 4.

   Hsieh D. et al. A topological Dirac insulator in a 3D quantum spin Hall phase. Nature 452, 970–974 (2008 ).

   Not in our library10.1038/nature06843

5. 5.

   Rechtsman M. C. et al. Photonic Floquet topological insulators. Nature 496, 196–200 (2013 ).

   Not in our library10.1038/nature12066

6. 6.

   Hafezi M., Mittal S., Fan J., Migdall A. & Taylor J. M. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013 ).

   Not in our library

7. 7.

   Bernevig B. A., Hughes T. L. & Zhang S.-C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757–1761 (2006 ).

   Not in our library10.1126/science.1133734

8. 8.

   Haldane F. D. M. & Raghu S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904 (2008 ).

   Not in our library10.1103/physrevlett.100.013904

9. 9.

   Wang Z., Chong Y., Joannopoulos J. D. & Soljačić M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772–775 (2009 ).

   Not in our library10.1038/nature08293

10. 10.

    Kitagawa T., Berg E., Rudner M. & Demler E. Topological characterization of periodically driven quantum systems. Phys. Rev. B 82, 235114 (2010 ).

    Not in our library

11. 11.

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

    Not in our library

12. 12.

    Hafezi M., Demler E. A., Lukin M. D. & Taylor J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907–912 (2011 ).

    Not in our library

13. 13.

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

    Not in our library

14. 14.

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

    Not in our library10.1038/nmat3520

15. 15.

    Lu L., Joannopoulos J. D. & Soljačić M. Topological photonics. Nat. Photon. 8, 821–829 (2014 ).

    Not in our library

16. 16.

    Lumer Y., Plotnik Y., Rechtsman M. C. & Segev M. Self-localized states in photonic topological insulators. Phys. Rev. Lett. 111, 243905 (2013 ).

    Not in our library10.1103/physrevlett.111.243905

17. 17.

    Zeuner J. M. et al. Observation of a topological transition in the bulk of a non-Hermitian system. Phys. Rev. Lett. 115, 040402 (2015 ).

    Not in our library10.1103/physrevlett.115.040402

18. 18.

    Slobozhanyuk A. P., Poddubny A. N., Miroshnichenko A. E., Belov P. A. & Kivshar Y. S. Subwavelength topological edge states in optically resonant dielectric structures. Phys. Rev. Lett. 114, 123901 (2015 ).

    Not in our library10.1103/physrevlett.114.123901

19. 19.

    Lu L. et al. Experimental observation of Weyl points. Science 349, 622–624 (2015 ).

    Not in our library10.1126/science.aaa9273

20. 20.

    Thouless D. J., Kohmoto M., Nightingale M. P. & den Nijs M. Quantized Hall conductance in a two-dimensional periodic potential. Phys. Rev. Lett. 49, 405–408 (1982 ).

    Not in our library

21. 21.

    Schnyder A. P., Ryu S., Furusaki A. & Ludwig A. W. W. Classification of topological insulators and superconductors in three spatial dimensions. Phys. Rev. B 78, 195125 (2008 ).

    Not in our library

22. 22.

    Rudner M. S., Lindner N. H., Berg E. & Levin M. Anomalous edge states and the bulk-edge correspondence for periodically driven two-dimensional systems. Phys. Rev. X 3, 031005 (2013 ).

    Not in our library

23. 23.

    Kitagawa T. et al. Observation of topologically protected bound states in photonic quantum walks. Nat. Commun. 3, 882 (2012 ).

    Not in our library10.1038/ncomms1872

24. 24.

    Lindner N. H., Refael G. & Galitski V. Floquet topological insulator in semiconductor quantum wells. Nat. Phys. 7, 490–495 (2011 ).

    Not in our library

25. 25.

    Hu W. et al. Measurement of a topological edge invariant in a microwave network. Phys. Rev. X 5, 011012 (2015 ).

    Not in our library

26. 26.
    Probing topological protection using a designer surface plasmon structure · 2016

    Not checked
27. 27.

    Szameit A. & Nolte S. Discrete optics in femtosecond-laser-written photonic structures. J. Phys. B 43, 163001 (2010 ).

    Not in our library

28. 28.

    Gräfe M. et al. On-chip generation of high-order single-photon W-states. Nat. Photon. 8, 791–795 (2014 ).

    Not in our library

29. 29.

    Eisenberg H. S., Silberberg Y., Morandotti R. & Aitchison J. S. Diffraction management. Phys. Rev. Lett. 85, 1863 (2000 ).

    Not in our library10.1103/physrevlett.85.1863

30. 30.

    Titum P., Berg E., Rudner M. S., Refael G. & Lindner N. H. Anomalous Floquet-Anderson insulator as a nonadiabatic quantized charge pump. Phys. Rev. X 6, 021013 (2016 ).

    Not in our library

31. 31.

    Szameit A., Dreisow F., Pertsch T., Nolte S. & Tünnermann A. Control of directional evanescent coupling in fs laser written waveguides. Opt. Express 15, 1579 (2007 ).

    Not in our library10.1364/oe.15.001579

32. 32.
    Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice · 2017

    Not checked

Cited by papers we hold 2

• Single-shot measurement of the photonic band structure in a fiber-based Floquet-Bloch lattice · 2021
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• Recent advances in 2D, 3D and higher-order topological photonics · 2020
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