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Cited by 512

The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.

Observation of photonic anomalous Floquet topological insulators

Maczewsky, Lukas J., Zeuner, Julia M., Nolte, Stefan, Szameit, Alexander·2017·Nature Communications
DOI 10.1038/ncomms13756PMC PMC5216121
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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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Crossref · 10.1038/ncomms13756

Cites

12 of 12 references verified0 citation errors · 0 not checkable

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  • Two independent experimental teams (Maczewsky et al., 2017; Mukherjee, Spracklen et al., 2017) reported realization of the Rudner-toy model using an array of laser-inscribed coupled waveguides.

    “Recently, two independent experimental teams (Maczewsky et al., 2017;Mukherjee, Spracklen et al., 2017) reported on the realization of this intriguing”

    From Topological photonics (2019) · cites this paper as Maczewsky et al., 2017

  • Maczewsky et al. (2017) signaled the anomalous phase by demonstrating the dispersionless nature of the bulk (flat band) and the chiral nature of the edge mode.

    “Maczewsky et al. (2017) also signaled the anomalous phase by demonstrating the dispersionless nature of the bulk (i.e., the existence of a flat band) and the chiral nature of the edge mode.”

    From Topological photonics (2019) · cites this paper as Maczewsky et al. (2017)

  • The two teams implemented distinct configurations: activated couplings were homogeneous in Maczewsky et al. (2017) and inhomogeneous in Mukherjee, Spracklen et al. (2017).

    “These independent teams implemented two distinct configurations of the model, the activated couplings being homogeneous in Maczewsky et al. (2017), while these were chosen to be inhomogeneous in Mukherjee, (2017).”

    From Topological photonics (2019) · cites this paper as Maczewsky et al. (2017)

  • Maczewsky et al. (2017) and Mukherjee, Spracklen et al. (2017) experimentally realized anomalous Floquet topological properties by designing suitable propagating waveguide arrays for photons.

    “In this section, we set the focus on the two recent experiments of Maczewsky et al. (2017) and Mukherjee, Spracklen et al. (2017), which realized such topological properties experimentally by designing suitable propagating waveguide arrays for photons.”

    From Topological photonics (2019) · cites this paper as Maczewsky et al. (2017)

  • Maczewsky et al. and Mukherjee, Spracklen et al. achieved this by spatially modulating the waveguides along z so that different pairs of waveguides are locally moved together to activate coupling and then apart to switch it off.

    “Maczewsky et al. (2017) and Mukherjee, Spracklen et al. (2017) achieved this goal by spatially modulating the waveguides along the z direction, in such a way that different pairs of waveguides are locally moved together (to activate the coupling) and then apart (to switch it off); see Fig. 23(c) for a sketch of this protocol.”

    From Topological photonics (2019) · cites this paper as Maczewsky et al. (2017)

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Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 20

  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). · DOI · Paper page
  2. Kane, C. L. & Mele, E. J. Z2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005). · DOI · Paper page
  3. Hafezi, M., Mittal, S., Fan, J., Migdall, A. & Taylor, J. M. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013). · DOI · Paper page
  4. 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). · DOI · Paper page
  5. 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). · DOI · Paper page
  6. Kitagawa, T., Berg, E., Rudner, M. & Demler, E. Topological characterization of periodically driven quantum systems. Phys. Rev. B 82, 235114 (2010). · DOI · Paper page
  7. Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907–912 (2011). · DOI · Paper page
  8. 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). · DOI · Paper page
  9. Khanikaev, A. B. et al. Photonic topological insulators. Nat. Mater. 12, 233–239 (2013). · DOI · Paper page
  10. Lu, L., Joannopoulos, J. D. & Soljačić, M. Topological photonics. Nat. Photon. 8, 821–829 (2014). · DOI · Paper page
  11. Lumer, Y., Plotnik, Y., Rechtsman, M. C. & Segev, M. Self-localized states in photonic topological insulators. Phys. Rev. Lett. 111, 243905 (2013). · DOI
  12. 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). · DOI
  13. 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). · DOI · Paper page
  14. 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).
  15. Lindner, N. H., Refael, G. & Galitski, V. Floquet topological insulator in semiconductor quantum wells. Nat. Phys. 7, 490–495 (2011). · DOI · Paper page
  16. Hu, W. et al. Measurement of a topological edge invariant in a microwave network. Phys. Rev. X 5, 011012 (2015).
  17. Gräfe, M. et al. On-chip generation of high-order single-photon W-states. Nat. Photon. 8, 791–795 (2014). · DOI · Paper page
  18. Eisenberg, H. S., Silberberg, Y., Morandotti, R. & Aitchison, J. S. Diffraction management. Phys. Rev. Lett. 85, 1863 (2000). · DOI · Paper page
  19. 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).
  20. Mukherjee, S. et al. Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice. Nat. Commun 8, 13918 (2017). · DOI · Paper page

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Metadata

Authors
Maczewsky, L. J., Zeuner, J. M., Nolte, S., & Szameit, A.
Venue
Nature Communications
Publisher
Springer Science and Business Media LLC
Published
2017-01-04
Volume
8
Issue
1
ISSN
2041-1723
DOI
10.1038/ncomms13756
PMC
PMC5216121
Cited by
512
References
12
Language
en
Licence

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