Universal nonadiabatic energy pumping in a quasiperiodically driven extended system

Abstract

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

Topological Burning Glass Effect

“…Topological frequency conversion.-A feature of quasiperiodically driven systems is energy pumping, a process in which photons of different frequencies are exchanged between the external drives [19,[26][27][28][29][30][31][32][33][34][35][36][37][38][39]. The total energy transfer rate is determined by the equations of motion:…”