Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams

Abstract

In this manuscript we report on adiabatic pumping in quasiperiodic stiffness modulated beams. We show that distinct topological states populating nontrivial gaps can nucleate avoided crossings characterized by edge-to-edge transitions. Such states are inherently coupled when a smooth variation of the modulation phase is induced along a synthetic dimension, resulting in topological edge-to-edge transport stemming from distinct polarizations of the crossing states. We first present a general framework to estimate the required modulation speed for a given transition probability in time. Then, this analysis tool is exploited to tailor topological pumping in a stiffness modulated beam.

References in corpus (34)

• Topological Insulators
• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Topological Acoustics
• Topological States and Adiabatic Pumping in Quasicrystals
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Observation of topological valley transport of sound in sonic crystals
• Topological Phononic Crystals with One-Way Elastic Edge Waves
• Topological mechanics of gyroscopic metamaterials
• Topologically protected elastic waves in phononic metamaterials
• A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
• Topological Thouless Pumping of Ultracold Fermions
• Floquet Topological Insulators for Sound
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Edge waves in plates with resonators: An elastic analogue of the quantum valley Hall effect
• Observation of topological valley modes in an elastic hexagonal lattice
• Topological Pumping over a Photonic Fibonacci Quasicrystal
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Observation of topologically protected helical edge modes in Kagome elastic plates
• Edge states and topological pumping in elastic lattices with periodically modulated coupling
• Experimental observation of non-reciprocal band-gaps in a space-time modulated beam using a shunted piezoelectric array
• Helical edge states and topological phase transitions in phononic systems using bi-layered lattices
• Theory of spin Bott index for quantum spin Hall states in non-periodic systems
• Observation of topological edge modes in a quasi-periodic acoustic waveguide
• Topological pumping of edge states via adiabatic passage
• Elastic quantum spin-Hall effect in Kagome lattices
• Edge States and Topological Pumping in Stiffness Modulated Elastic Plates
• Experimental evidence of robust acoustic valley Hall edge states in a non-resonant topological elastic waveguide
• Topological models in rotationally symmetric quasicrystals
• Electromagnetic response of quantum Hall systems in dimensions five and six and beyond
• Topological Edge Modes by Smart Patterning
• Non-reciprocal wave propagation in discretely modulated spatiotemporal plates

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• Topological acoustics
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• Topological edge states of quasiperiodic elastic metasurfaces
• Exploring Topology of 1D Quasiperiodic Metastructures through Modulated LEGO Resonators
• Topological Gaps by Twisting
• Adiabatic edge-to-edge transformations in time-modulated elastic lattices and non-Hermitian shortcuts
• Fast, robust and amplified transfer of topological edge modes on time-varying mechanical chain
• Elastic Temporal Waveguiding
• Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis
• Mechanics and dynamics of two-dimensional quasiperiodic composites
• Quantum transport in a one-dimensional quasicrystal with mobility edges
• Optimal design of fast topological pumping
• Differences between quantum and classical adiabatic evolution
• Mapping Chern numbers in quasi-periodic interacting spin chains