Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

TL;DR

This paper demonstrates universal nonadiabatic energy pumping in a quasiperiodically driven 1D system, mapping it into a higher-dimensional Weyl semimetal, with robust energy transfer behaviors confirmed by analytical and numerical methods.

Contribution

It introduces a realistic 1D driven system that exhibits universal energy pumping behaviors in a quasiperiodic setting, extending Floquet engineering into synthetic dimensions.

Findings

Energy pumping characterized by universal functions.

Robustness of energy pumping against spatial disorder.

Mapping 1D driven system to a Weyl semimetal in synthetic dimension.

Abstract

The paradigm of Floquet engineering of topological states of matter can be generalized into the time-quasiperiodic scenario, where a lower dimensional time-dependent system maps into a higher dimensional one by combining the physical dimensions with additional synthetic dimensions generated by multiple incommensurate driving frequencies. Different than most previous works in which gapped topological phases were considered, we propose an experimentally realizable, one dimensional chain driven by two frequencies, which maps into a gapless Weyl semimetal in synthetic dimension. Based on analytical reasoning and numerical simulations, we found the nonadiabatic quantum dynamics of this system exhibit energy pumping behaviors characterized by universal functions. We also numerically found such behaviors are robust against a considerable amount of spatial disorder.