CoChat
Sign Up
Cited by 390

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

Experimental observation of anomalous topological edge modes in a slowly driven photonic lattice

Mukherjee, Sebabrata, Spracklen, Alexander, Valiente, Manuel, Andersson, Erika, Öhberg, Patrik, Goldman, Nathan, Thomson, Robert R.·2017·Nature Communications
DOI 10.1038/ncomms13918PMC PMC5216118
Open this paper in CoChat — free account

Abstract

Topological quantum matter can be realized by subjecting engineered systems to time-periodic modulations. In analogy with static systems, periodically driven quantum matter can be topologically classified by topological invariants, whose non-zero value guarantees the presence of robust edge modes. In the high-frequency limit of the drive, topology is described by standard topological invariants, such as Chern numbers. Away from this limit, these topological numbers become irrelevant, and novel topological invariants must be introduced to capture topological edge transport. The corresponding edge modes were coined anomalous topological edge modes, to highlight their intriguing origin. Here we demonstrate the experimental observation of these topological edge modes in a 2D photonic lattice, where these propagating edge states are shown to coexist with a quasi-localized bulk. Our work opens an exciting route for the exploration of topological physics in time-modulated systems operating away from the high-frequency regime.

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/ncomms13918

Cites

6 of 6 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?

  • 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 Mukherjee, Spracklen et al. (2017)

  • Mukherjee, Spracklen et al. (2017) demonstrated the anomalous Floquet topological phase through a study of activated-coupling strength combined with direct observations of chiral edge state propagation and bulk localization.

    “Mukherjee, Spracklen et al. (2017) demonstrated the realization of the anomalous Floquet topological phase through a thoughtful study of the activated-coupling strength (which uniquely identified the realized anomalous phase within the topological phase diagram) combined with direct observations of the chiral edge states propagation and bulk localization [see Fig. 23(d)].”

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

  • 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 Mukherjee, Spracklen et al., 2017

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: 31

  1. Hasan, M. Z. & Kane, C. L. Colloquium: topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010). · DOI · Paper page
  2. Kitagawa, T., Berg, E., Rudner, M. & Demler, E. Topological characterization of periodically driven quantum systems. Phys. Rev. B 82, 235114 (2010). · DOI · Paper page
  3. Lindner, N. H., Refael, G. & Galitski, V. Floquet topological insulator in semiconductor quantum wells. Nat. Phys. 7, 490–495 (2011). · DOI · Paper page
  4. 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).
  5. Nathan, F. & Rudner, M. S. Topological singularities and the general classification of floquet-bloch systems. New J. Phys. 17, 125014 (2015). · DOI · Paper page
  6. Roy, R. & Harper, F. Periodic table for floquet topological insulators. Preprint at https://arxiv.org/abs/1603.06944 (2016). · arXiv
  7. Gómez-León, A. & Platero, G. Floquet-bloch theory and topology in periodically driven lattices. Phys. Rev. Lett. 110, 200403 (2013). · DOI
  8. Sørensen, A. S., Demler, E. & Lukin, M. D. Fractional quantum hall states of atoms in optical lattices. Phys. Rev. Lett. 94, 086803 (2005). · DOI
  9. Hauke, P. et al. Non-abelian gauge fields and topological insulators in shaken optical lattices. Phys. Rev. Lett. 109, 145301 (2012). · DOI
  10. Goldman, N. & Dalibard, J. Periodically driven quantum systems: Effective hamiltonians and engineered gauge fields. Phys. Rev. X 4, 031027 (2014).
  11. Cayssol, J., Dóra, B., Simon, F. & Moessner, R. Floquet topological insulators. Phys. Status Solidi Rapid Res. Lett. 7, 101–108 (2013). · DOI · Paper page
  12. Jotzu, G. et al. Experimental realization of the topological haldane model with ultracold fermions. Nature 515, 237–240 (2014). · DOI · Paper page
  13. Aidelsburger, M. et al. Measuring the chern number of hofstadter bands with ultracold bosonic atoms. Nat. Phys. 11, 162–166 (2015). · DOI
  14. Goldman, N., Budich, J. C. & Zoller, P. Topological quantum matter with ultracold gases in optical lattices. Nat. Phys. 12, 639–645 (2016). · DOI
  15. Lu, L., Joannopoulos, J. & Soljacic, M. Topological states in photonic systems. Nat. Phys. 12, 626–629 (2016). · DOI
  16. Rahav, S., Gilary, I. & Fishman, S. Effective hamiltonians for periodically driven systems. Phys. Rev. A. 68, 013820 (2003). · DOI · Paper page
  17. 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
  18. Hafezi, M., Mittal, S., Fan, J., Migdall, A. & Taylor, J. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013). · DOI · Paper page
  19. Mittal, S. et al. Topologically robust transport of photons in a synthetic gauge field. Phys. Rev. Lett. 113, 087403 (2014). · DOI
  20. Fulga, I. & Maksymenko, M. Scattering matrix invariants of floquet topological insulators. Phys. Rev. B 93, 075405 (2016). · DOI
  21. Quelle, A. & Morais Smith, C. Dynamical competition between quantum hall and quantum spin hall effects. Phys. Rev. B 90, 195137 (2014). · DOI
  22. Quelle, A., Goerbig, M. & Morais Smith, C. Bandwidth-resonant floquet states in honeycomb optical lattices. New J. Phys. 18, 015006 (2016). · DOI
  23. Hu, W. et al. Measurement of a topological edge invariant in a microwave network. Phys. Rev. X 5, 011012 (2015).
  24. Hatsugai, Y. Chern number and edge states in the integer quantum hall effect. Phys. Rev. Lett. 71, 3697 (1993). · DOI · Paper page
  25. 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).
  26. Maczewsky, L. J., Zeuner, J. M., Nolte, S. & Szameit, A. Observation of photonic anomalous floquet topological insulators. Nat. Commun. 8, 13756 (2017). · DOI · Paper page
  27. Davis, K. M., Miura, K., Sugimoto, N. & Hirao, K. Writing waveguides in glass with a femtosecond laser. Opt. Lett. 21, 1729–1731 (1996). · DOI · Paper page
  28. Ams, M., Marshall, G., Spence, D. & Withford, M. Slit beam shaping method for femtosecond laser direct-write fabrication of symmetric waveguides in bulk glasses. Opt. Express 13, 5676–5681 (2005). · DOI
  29. Stone, J. M. & Knight, J. C. Visibly white light generation in uniform photonic crystal fiber using a microchip laser. Opt. Express 16, 2670–2675 (2008). · DOI
  30. Garanovich, I. L., Longhi, S., Sukhorukov, A. A. & Kivshar, Y. S. Light propagation and localization in modulated photonic lattices and waveguides. Phys. Rep. 518, 1–79 (2012). · DOI
  31. Mukherjee, S. et al. Observation of a localized flat-band state in a photonic lieb lattice. Phys. Rev. Lett. 114, 245504 (2015). · DOI

Cited by

Sorted by citations

Metadata

Authors
Mukherjee, S., Spracklen, A., Valiente, M., Andersson, E., Öhberg, P., Goldman, N., & Thomson, R. R.
Venue
Nature Communications
Publisher
Springer Science and Business Media LLC
Published
2017-01-04
Volume
8
Issue
1
ISSN
2041-1723
DOI
10.1038/ncomms13918
PMC
PMC5216118
Cited by
390
References
6
Language
en
Licence

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