Topological Pumping over a Photonic Fibonacci Quasicrystal
arXiv:1403.7124 · doi:10.1103/PhysRevB.91.064201
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)
Cited by in corpus (79)
- Topological Photonics
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Topological quantum matter in synthetic dimensions
- Topological photonic crystals: physics, designs and applications
- Thouless pumping and topology
- Quantum interference of topological states of light
- Topological pumping of photons in nonlinear resonator arrays
- Virtual Topological Insulators with Real Quantized Physics
- Critical phase dualities in 1D exactly-solvable quasiperiodic models
- Topological states in quasicrystals
- Hidden dualities in 1D quasiperiodic lattice models
- Topological state transfer in Kresling origami
- A comprehensive review on developments of synthetic dimensions
- Renormalization-Group Theory of 1D quasiperiodic lattice models with commensurate approximants
- Smart patterning for topological pumping of elastic surface waves
- Ring Structure in the Complex Plane: A Fingerprint of non-Hermitian Mobility Edge
- Quantum many-body topology of quasicrystals
- Many-body localization in the interpolating Aubry-André-Fibonacci model
- Localization Driven Quantum Sensing
- Non-Hermitian butterfly spectra in a family of quasiperiodic lattices
- Nonadiabatic robust excitation transfer assisted by an imaginary gauge field
- Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
- Critical and Topological Phases of Dimerized Kitaev Chain in Presence of Quasiperiodic Potential
- Engineering mobility in quasiperiodic lattices with exact mobility edges
- Emergent strength-dependent scale-free mobility edge in a non-reciprocal long-range Aubry-André-Harper model
- Topological photonic Su-Schrieffer-Heeger-type coupler
- 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
- Topological superconductivity in Fibonacci quasicrystals
- Floquet band engineering with Bloch oscillations
- Bulk topological signatures of a quasicrystal
- Quasiperiodic disorder induced critical phases in a periodically driven dimerized -wave Kitaev chain
- Quantum transport in a one-dimensional quasicrystal with mobility edges
- 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
- Optical Thouless pumping transport and nonlinear switching in a topological low-dimensional discrete nematic liquid crystal array
- 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
- Topological pumping induced by spatiotemporal modulation of interaction
- Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
- Topological edge states in a Rydberg composite
- Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
- Nonadiabatic nonlinear non-Hermitian quantized pumping
- Topology in quasicrystals
- Topological photon pumping in quantum optical systems
- Fractional transconductance via non-adiabatic topological Cooper pair pumping
- Sensing electrons during an adiabatic coherent transport passage
- Superconducting properties of Fibonacci chains with enhanced superconducting pairing at the boundaries
- Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
- Entanglement growth and information capacity in a quasiperiodic system with a single-particle mobility edge
- Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
- Topological Thouless pumping in arrays of coupled spin chains
- Symmetry-protected Landau-Zener-Stückelberg-Majorana interference and non-adiabatic topological transport of edge states
- Fate of Quadratic Band Crossing under quasiperiodic modulation
- Floquet-Anderson localization in the Thouless pump and how to avoid it
- Entanglement entropy scaling in critical phases of 1D quasiperiodic systems
- Absence of disordered Thouless pumps at finite frequency
- Quasiperiodic Quadrupole Insulators
- Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
- Asymmetric topological pumping in nonparaxial photonics
- Topological charge and spin pumping in a semiconductor nanowire
- Physical rendering of synthetic spaces for topological sound transport
- Optical response of the tightbinding model on the Fibonacci chain
- Localization and Topology in Noncentrosymmetric Superconductors with Disorder
- Multiple reentrant topological windows induced by generalized Bernoulli disorder
- Family of self-dual quasicrystals with critical Phases
- Topological dynamics of adiabatic cat states
- Dephasing-enhanced performance in quasiperiodic thermal machines
- Topological edge states and disorder robustness in one-dimensional off-diagonal mosaic lattices
- On the origin of energy gaps in quasicrystalline potentials
- Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump