English

Non-adiabatic breaking of topological pumping

Quantum Gases 2018-03-14 v2

Abstract

We study Thouless pumping out of the adiabatic limit. Our findings show that despite its topological nature, this phenomenon is not {generically} robust to non-adiabatic effects. Indeed we find that the Floquet diagonal ensemble value of the pumped charge shows a deviation from the topologically quantized limit which is quadratic in the driving frequency {for a sudden switch-on of the driving}. This is reflected also in the charge pumped in a single period, which shows a non-analytic behaviour on top of an overall quadratic decrease. Exponentially small corrections are recovered only with a careful tailoring of the driving protocol. We also discuss thermal effects and the experimental feasibility of observing such a deviation.

Keywords

Cite

@article{arxiv.1709.08457,
  title  = {Non-adiabatic breaking of topological pumping},
  author = {Lorenzo Privitera and Angelo Russomanno and Roberta Citro and Giuseppe E. Santoro},
  journal= {arXiv preprint arXiv:1709.08457},
  year   = {2018}
}