# Robust temporal pumping in a magneto-mechanical topological insulator

## TL;DR

This paper introduces the first temporal topological pump in a 1D magneto-mechanical metamaterial, enabling robust, on-demand mechanical energy transport resilient to defects, thus opening new avenues in higher-dimensional topological physics.

## Contribution

It demonstrates a novel temporal topological pump that leverages time as a synthetic dimension for robust energy transport in a 1D system.

## Key findings

- System exhibits resilience to spatial and temporal defects.
- First experimental realization of a temporal topological pump.
- Potential for exploring higher-dimensional topological phenomena.

## Abstract

The transport of energy through 1-dimensional (1D) waveguiding channels can be affected by sub-wavelength disorder, resulting in undesirable localization and backscattering phenomena. However, quantized disorder-resilient transport is observable in the edge currents of 2-dimensional (2D) topological band insulators with broken time-reversal symmetry. Topological pumps are able to reduce this higher-dimensional topological insulator phenomena to lower dimensionality by utilizing a pumping parameter (either space or time) as an artificial dimension. Here we demonstrate the first temporal topological pump that produces on-demand, robust transport of mechanical energy using a 1D magneto-mechanical metamaterial. We experimentally demonstrate that the system is uniquely resilient to defects occurring in both space and time Our findings open a new path towards exploration of higher-dimensional topological physics with time as a synthetic dimension.