Topological pumping over a photonic Fibonacci quasicrystal

By M. Verbin, Oded Zilberberg, Y. Lahini, Yaacov E. Kraus, Yaron R. Silberberg. 2014

192 citations recorded by the source corpus.

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.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/9e65a447dfd0f3870194c8218f241f8f4d997e95

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In Atomic and Molecular Physics, and Optics

  1. Nathan Goldman
  2. A. Amo
  3. T. Ozawa
  4. M. Aidelsburger
  5. H. Price
  6. M. Rechtsman
  7. I. Carusotto
  8. David I. Schuster

In Geometry and Topology

  1. R. Citro
  2. Nathan Goldman
  3. M. Aidelsburger

In Materials Chemistry

  1. M. Rechtsman
  2. Jianwen Dong
  3. A. Amo
  4. M. Hafezi
  5. Oded Zilberberg
  6. Jonathan Simon
  7. Nathan Goldman
  8. David I. Schuster

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