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.

arXiv comment5 pages, 4 figures, comments are welcome

References in corpus (20)

• Topological Insulators
• Topological insulators and superconductors
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological States and Adiabatic Pumping in Quasicrystals
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Edge states and topological phases in one-dimensional optical superlattices
• Topological Zero-Energy Modes in Gapless Commensurate Aubry-André-Harper Models
• Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model
• Critical and bicritical properties of Harper's equation with next nearest neighbor coupling
• Simulating Z_2 topological insulators with cold atoms in a one-dimensional optical lattice
• Thermal Instability of Protected End States in a 1-D Topological Insulator
• Topological classification of adiabatic processes
• Chern and Majorana Modes of Quasiperiodic Systems
• An optimal topological spin pump
• From the Hofstadter to the Fibonacci butterfly
• Topologically Universal Spectral Hierarchies of Quasiperiodic Systems
• Photonic Localization of Interface Modes at the Boundary between Metal and Fibonacci Quasi-Periodic Structure
• Surface solitons in quasiperiodic nonlinear photonic lattices

Cited by in corpus (129)

• Topological Photonics
• Topological Photonics
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Topological Hybrid Silicon Microlasers
• Nearest neighbor tight binding models with an exact mobility edge in one dimension
• Topological quantum matter in synthetic dimensions
• Dirac Electrons in a Dodecagonal Graphene Quasicrystal
• Topological photonic crystals: physics, designs and applications
• Artificial gauge fields in materials and engineered systems
• Experimental Measurement of the Berry Curvature from Anomalous Transport
• Thouless pumping and topology
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Quantum interference of topological states of light
• Edge states in trimer lattices
• Experimental observation of temporal pumping in electro-mechanical waveguides
• Topological pumping of edge states via adiabatic passage
• Experimental Demonstration of Dynamic Topological Pumping Across Incommensurate Bilayered Acoustic Metamaterials
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals
• The 6D quantum Hall effect and 3D topological pumps
• Landau-Zener Transition in Topological Acoustic Pumping
• Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
• Topological pumping of photons in nonlinear resonator arrays
• Topological charge pumping in the interacting bosonic Rice-Mele model
• Virtual Topological Insulators with Real Quantized Physics
• Critical phase dualities in 1D exactly-solvable quasiperiodic models
• Landau-Zener topological quantum state transfer
• Fibonacci optical lattices for tunable quantum quasicrystals
• Topological states in quasicrystals
• Fractal dimensions of the wavefunctions and local spectral measures on the Fibonacci chain
• Hidden dualities in 1D quasiperiodic lattice models
• Topological state transfer in Kresling origami
• Topological Edge Modes by Smart Patterning
• Non-Commutative Chern Numbers for Generic Aperiodic Discrete Systems
• A comprehensive review on developments of synthetic dimensions
• Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
• Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams
• High-order topological insulators from high-dimensional Chern insulators
• Higher-order topological pumping and its observation in photonic lattices
• Smart patterning for topological pumping of elastic surface waves
• Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
• Topological quantum transport and spatial entanglement distribution via disordered bulk channel
• Anderson localization transition in a robust $\mathcal{P}\mathcal{T}$-symmetric phase of a generalized Aubry-Andre model
• Topological Gaps by Twisting
• Topological spin excitations in Harper-Heisenberg spin chains
• Topological photonic orbital angular momentum switch
• Local Topological Markers in Odd Dimensions
• Quantum many-body topology of quasicrystals
• Generalized Fibonacci zone plates
• Many-body localization in the interpolating Aubry-André-Fibonacci model
• Liquid-crystal-based topological photonics
• Efficient algorithm to compute the second Chern number in four dimensional systems
• Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chain
• Localization Driven Quantum Sensing
• Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
• Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
• Four-dimensional topological lattices through connectivity
• The K-Theoretic Bulk-Boundary Principle for Dynamically Patterned Resonators
• Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
• Edge Modes of Scattering Chains with Aperiodic Order
• Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
• Engineering mobility in quasiperiodic lattices with exact mobility edges
• Topological inheritance in half-SSH Hubbard models
• Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
• Topological photonic Su-Schrieffer-Heeger-type coupler
• Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis
• Local symmetry theory of resonator structures for the real-space control of edge states in binary aperiodic chains
• Breakdown of quantization in nonlinear Thouless pumping
• Non-Hermitian topology and criticality in photonic arrays with engineered losses
• Quantum Emulation of Extreme Non-equilibrium Phenomena with Trapped Atoms
• Josephson effect in a Fibonacci quasicrystal
• Dissipative nonequilibrium synchronization of topological edge states via self-oscillation
• Emergence of quasiperiodic Bloch wave functions in quasicrystals
• Topological Transitions with an Imaginary Aubry-Andre-Harper Potential
• Bulk-boundary correspondance for Sturmian Kohmoto like models
• Topological pumping of quantum correlations
• Floquet band engineering with Bloch oscillations
• Topological superconductivity in Fibonacci quasicrystals
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Bulk topological signatures of a quasicrystal
• Topological Floquet interface states in optical fibre loops
• Quantum transport in a one-dimensional quasicrystal with mobility edges
• Topological Phase Transitions from Harper to Fibonacci Crystals
• Quantum criticality in the 2d quasiperiodic Potts model
• Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Biorthogonal topological charge pumping in non-Hermitian systems
• Emergent multi-loop nested point gap in a non-Hermitian quasiperiodic lattice
• Topological gap labeling with the third Chern numbers in three-dimensional quasicrystals
• 1D quasicrystals and topological markers
• Optical Thouless pumping transport and nonlinear switching in a topological low-dimensional discrete nematic liquid crystal array
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• Topological edge states in a Rydberg composite
• Topological pumping induced by spatiotemporal modulation of interaction
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• The Fibonacci quasicrystal: case study of hidden dimensions and multifractality
• Topology in quasicrystals
• Topological photon pumping in quantum optical systems
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Nonadiabatic nonlinear non-Hermitian quantized pumping
• Sensing electrons during an adiabatic coherent transport passage
• Superconducting properties of Fibonacci chains with enhanced superconducting pairing at the boundaries
• Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
• Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
• Topological Thouless pumping in arrays of coupled spin chains
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
• Physical rendering of synthetic spaces for topological sound transport
• Floquet-Anderson localization in the Thouless pump and how to avoid it
• Asymmetric topological pumping in nonparaxial photonics
• Topological charge and spin pumping in a semiconductor nanowire
• Absence of disordered Thouless pumps at finite frequency
• Three-dimensional array foci of generalized Fibonacci photon sieves
• Quasiperiodic Quadrupole Insulators
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Family of self-dual quasicrystals with critical Phases
• Multiple reentrant topological windows induced by generalized Bernoulli disorder
• Localization and Topology in Noncentrosymmetric Superconductors with Disorder
• Optical response of the tightbinding model on the Fibonacci chain
• Mapping Chern numbers in quasi-periodic interacting spin chains
• Topological edge states and disorder robustness in one-dimensional off-diagonal mosaic lattices
• Topological dynamics of adiabatic cat states
• On the origin of energy gaps in quasicrystalline potentials
• Dephasing-enhanced performance in quasiperiodic thermal machines
• Signatures of the $\pi$-mode anomaly in (1+1) dimensional periodically-driven topological/normal insulator heterostructures
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump