English

Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams

Applied Physics 2020-07-15 v1

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.

Keywords

Cite

@article{arxiv.2003.11525,
  title  = {Adiabatic pumping via avoided crossings in stiffness modulated quasiperiodic beams},
  author = {Emanuele Riva and Vito Casieri and Ferruccio Resta and Francesco Braghin},
  journal= {arXiv preprint arXiv:2003.11525},
  year   = {2020}
}