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Cited by 252Topological Materials and PhenomenaQuasicrystal Structures and PropertiesQuantum Mechanics and Non-Hermitian Physics

Topological pumping over a photonic Fibonacci quasicrystal

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Verbin, Mor, Zilberberg, Oded, Lahini, Yoav, Kraus, Yaacov E., Silberberg, Yaron·2015·Physical Review B
DOI 10.1103/physrevb.91.064201
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Abstract

Quasiperiodic lattices have recently been shown to be a nontrivial topological phase of matter. Charge pumping---one of the hallmarks of topological states of matter---was recently realized for photons in a one-dimensional off-diagonal Harper model implemented in a photonic waveguide array. However, if the relationship between topological pumps and quasiperiodic systems is generic, one might wonder how to observe it in the canonical and most studied quasicrystalline system in one dimension---the Fibonacci chain. This chain is expected to facilitate a similar phenomenon, yet its discrete nature hinders the experimental study of such topological effects. Here, we overcome this obstacle by utilizing the topological equivalence of a family of quasiperiodic models which ranges from the Fibonacci chain to the Harper model. Implemented in photonic waveguide arrays, we observe the topological properties of this family, and perform a topological pumping of photons across a Fibonacci chain.

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Crossref · 10.1103/physrevb.91.064201

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  • The interwaveguide separation is constructed such that the propagation of light along the device samples over higher-dimensional momenta in the directions orthogonal to the two physical dimensions, thus realizing a 2D topological pump.

    “The interwaveguide separation is constructed such that the propagation of light along the device samples over higher-dimensional momenta in the directions orthogonal to the two physical dimensions, thus realizing a 2D topological pump 2,5-10 .”

    From Photonic topological boundary pumping as a probe of 4D quantum Hall physics (2018) · cites this paper as [8]

    The Experimental Apparatus section says interwaveguide separation was customized to set the coupling profile, and Adiabatic pumping says parameters were varied along the propagation axis to pump light across the array (page numbers not supplied). The paper describes a one-dimensional waveguide array and a two-parameter pump; it does not say propagation samples higher-dimensional momenta orthogonal to two physical dimensions or realizes a 2D topological pump. (LLM, conf=0.88)

    Experimental — accuracy not yet measured

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Cites

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Research works printed but not linked: 4

  1. [1]1. C. L. Kane and E. J. Mele, Z 2 Topological order and the quantum spin Hall effect, Phys. Rev. Lett. 95, 146802 (2005).
  2. [3]3. M. Z. Hasan and C. L. Kane, Colloquium: Topological insu- lators, Rev. Mod. Phys. 82, 3045 (2010);
  3. [6]6. L. Fu and C. L. Kane, Time reversal polarization and a Z 2 adiabatic spin pump, Phys. Rev. B 74, 195312 (2006).
  4. [12]12. S. Aubry and G. André, Analyticity breaking and Anderson localization in incommensurate lattices, Ann. Isr. Phys. Soc. 3, 133 (1980).

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Related

Authors
Verbin, M., Zilberberg, O., Lahini, Y., Kraus, Y. E., & Silberberg, Y.
Affiliations
  • Weizmann Institute of Science (IL)
  • ETH Zurich (CH)
  • Massachusetts Institute of Technology (US)
ORCID
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2015-02-04
Volume
91
Issue
6
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
DOI
10.1103/physrevb.91.064201
OpenAlex
W2150291000
Cited by
252
References
37
Citations by year
2026: 20 · 2025: 25 · 2024: 41 · 2023: 22 · 2022: 35 · 2021: 29 · 2020: 23 · 2019: 17 · 2018: 17 · 2017: 8 · 2016: 8 · 2015: 6 · 2014: 1
FWCI
6.60
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review B (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc)
  • arXiv (Cornell University)
  • Physical Review Letters
Funders
  • Minerva Foundation
  • Swiss National Science Foundation
  • Israel Science Foundation
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
  • Physical Sciences › Materials Science › Materials Chemistry › Quasicrystal Structures and Properties
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
Keywords
topological pumping, Fibonacci quasicrystals, quasiperiodic lattices, photonic waveguide arrays, Harper model, topological equivalence, light transport, one-dimensional quasicrystals

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