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Experimental Observation of Temporal Pumping in Electromechanical Waveguides

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TLDR
In this paper, the authors demonstrate temporal pumping of elastic waves in an electromechanical waveguide and show that the temporal modulation of the stiffness drives the transfer of edge states from one boundary of the waveguide to the other.
Abstract
We experimentally demonstrate temporal pumping of elastic waves in an electromechanical waveguide. Temporal pumping exploits a virtual dimension mapped to time, enabling the generation and control of edge states, typical of two-dimensional systems, in a one-dimensional waveguide. We show experimentally that the temporal modulation of the stiffness drives the transfer of edge states from one boundary of the waveguide to the other. The considered implementation, that consists of an elastic waveguide coupled with tunable electrical impedances, allows the pumping to occur in a controllable manner. The framework presented herein opens new avenues for the manipulation and transport of information through elastic waves, with potential technological applications for digital delay lines and digitally controlled waveguides. This Letter also explores higher-dimensional topological physics using virtual dimensions mapped to time in electromechanical systems.

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Citations
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Topological Phononic Crystals with One-Way Elastic Edge Waves

TL;DR: In this paper, the authors report a new type of phononic crystals with topologically nontrivial band gaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves.
Journal Article

Topological Field Theory of Time-Reversal Invariant Insulators

TL;DR: In this paper, it was shown that the fundamental time-reversal invariant (TRI) insulator exists in $4+1$ dimensions, where the effective field theory is described by the $(4 + 1)$-dimensional Chern-Simons theory and the topological properties of the electronic structure are classified by the second Chern number.
Journal ArticleDOI

Helical edge states and topological phase transitions in phononic systems using bi-layered lattices

TL;DR: In this article, the authors proposed a framework to realize helical edge states in phononic systems using two identical lattices with interlayer couplings between them, and the lattices are composed of passive components and the building blocks are a set of disks and linear springs.
Journal ArticleDOI

Experimental Demonstration of Dynamic Topological Pumping across Incommensurate Bilayered Acoustic Metamaterials

TL;DR: The first unassisted dynamic energy transfer across a metamaterial is reported, via pumping of such topological edge modes in a topological aperiodic acoustic crystal, with a phason that can be fast and periodically driven in adiabatic cycles.
Journal Article

Topological States and Adiabatic Pumping in Quasicrystals

TL;DR: In this paper, it was shown that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and exhibit topologically protected boundary states equivalent to the edge states of a 2D quantum Hall system.
References
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Journal ArticleDOI

Topological Acoustics

TL;DR: In this paper, the authors develop an analogous theory of topological fluid acoustics, and propose a scheme for realizing topological edge states in an acoustic structure containing circulating fluids.
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Observation of phononic helical edge states in a mechanical topological insulator

TL;DR: In this paper, a topological insulator is characterized by a dichotomy between the interior and the edge of a finite system: the bulk has an energy gap, and the edges sustain excitations traversing this gap.
Journal ArticleDOI

Topological States and adiabatic pumping in quasicrystals.

TL;DR: It is shown, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivalent to the edge states of a two- dimensional quantum Hall system.
Journal ArticleDOI

Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances

TL;DR: A manifestly gauge-invariant description of Chern numbers associated with the Berry connection defined on a discretized Brillouin zone provides an efficient method of computing (spin) Hall conductances without specifying gauge-fixing conditions.
Journal ArticleDOI

Topological mechanics of gyroscopic metamaterials

TL;DR: This work presents an experimental and theoretical study of an active metamaterial—composed of coupled gyroscopes on a lattice—that breaks time-reversal symmetry and presents a mathematical model that explains how the edge mode chirality can be switched via controlled distortions of the underlying lattice.
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