soundSL2017.pdf (6.45 MB)

Nonlinear dynamics and band transport in a superlattice driven by a plane wave

Download (6.45 MB)
journal contribution
posted on 18.05.2017, 10:40 by Apostolos Apostolakis, M. Kofoworola Awodele, Kirill Alekseev, Feodor Kusmartsev, Alexander Balanov
A quantum particle transport induced in a spatially-periodic potential by a propagating plane wave has a number important implications in a range of topical physical systems. Examples include acoustically driven semiconductor superlattices and cold atoms in optical crystal. Here we apply kinetic description of the directed transport in a superlattice beyond standard linear approximation, and utilize exact path-integral solutions of the semiclassical transport equation. We show that the particle drift and average velocities have non-monotonic dependence on the wave amplitude with several prominent extrema. Such nontrivial kinetic behaviour is related to global bifurcations developing with an increase of the wave amplitude. They cause dramatic transformations of the system phase space and lead to changes of the transport regime. We describe different types of phase trajectories contributing to the directed transport and analyse their spectral content.

Funding

This work has been supported by EPSRC (grant EP/M016099/1). AGB acknowledges support from the the Russian Science Foundation (grant 14–12–00222).

History

School

  • Science

Department

  • Physics

Published in

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics

Citation

APOSTOLAKIS, A. ... et al, 2017. Nonlinear dynamics and band transport in a superlattice driven by a plane wave. Physical Review E, 95 (6), 062203.

Publisher

© American Physical Society

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

06/05/2017

Publication date

2017

Notes

This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.95.062203.

ISSN

2470-0045

eISSN

2470-0053

Language

en

Exports

Logo branding

Keywords

Exports