Topological Pumping over a Photonic Fibonacci Quasicrystal

Abstract

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.

5 pages, 4 figures, comments are welcome

References in corpus (4)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Thermal Instability of Protected End States in a 1-D Topological Insulator

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• Asymmetric topological pumping in nonparaxial photonics
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• Dephasing-enhanced performance in quasiperiodic thermal machines