English

Nonadiabatic pumping in classical and quantum chaotic scatterers

Mesoscale and Nanoscale Physics 2012-10-04 v3

Abstract

We study directed transport in periodically forced scattering systems in the regime of fast and strong driving where the dynamics is mixed to chaotic and adiabatic approximations do not apply. The model employed is a square potential well undergoing lateral oscillations, alternatively as two- or single-parameter driving. Mechanisms of directed transport are analyzed in terms of asymmetric irregular scattering processes. Quantizing the system in the framework of Floquet scattering theory, we calculate directed currents on basis of transmission and reflection probabilities obtained by numerical wavepacket scattering. We observe classical as well as quantum transport beyond linear response, manifest in particular in a non-zero current for single-parameter driving where according to adiabatic theory, it should vanish identically.

Keywords

Cite

@article{arxiv.1111.1653,
  title  = {Nonadiabatic pumping in classical and quantum chaotic scatterers},
  author = {A. Castañeda and T. Dittrich and G. Sinuco},
  journal= {arXiv preprint arXiv:1111.1653},
  year   = {2012}
}

Comments

13 pages, 8 figures

R2 v1 2026-06-21T19:32:10.184Z