Topological pumping over a photonic Fibonacci quasicrystal

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2015
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Verbin, Mor
Lahini, Yoav
Kraus, Yaacov E.
Silberberg, Yaron
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Quasiperiodic lattices have recently been shown to be a non-trivial topological phase of matter. Charge pumping -- one of the hallmarks of topological states of matter -- was recently realized for photons in a one-dimensional (1D) off-diagonal Harper model implemented in a photonic waveguide array. The topologically nontrivial 1D Fibonacci quasicrystal (QC) is expected to facilitate a similar phenomenon, but its discrete nature and lack of pumping parameter hinder the experimental study of such topological effects. In this work we overcome these obstacles by utilizing a family of topologically equivalent QCs which ranges from the Fibonacci QC 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 QC.

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ISO 690VERBIN, Mor, Oded ZILBERBERG, Yoav LAHINI, Yaacov E. KRAUS, Yaron SILBERBERG, 2015. Topological pumping over a photonic Fibonacci quasicrystal. In: Physical Review B. American Physical Society (APS). 2015, 91(6), 064201. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.91.064201
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@article{Verbin2015Topol-54928,
  year={2015},
  doi={10.1103/PhysRevB.91.064201},
  title={Topological pumping over a photonic Fibonacci quasicrystal},
  number={6},
  volume={91},
  issn={2469-9950},
  journal={Physical Review B},
  author={Verbin, Mor and Zilberberg, Oded and Lahini, Yoav and Kraus, Yaacov E. and Silberberg, Yaron},
  note={Article Number: 064201}
}
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