Nonadiabatic pumping in classical and quantum chaotic scatterers

TL;DR

This paper investigates directed transport in chaotic scattering systems under strong, fast periodic driving, revealing quantum and classical transport phenomena beyond traditional adiabatic predictions.

Contribution

It introduces a model of a driven square potential well and analyzes directed transport mechanisms using both classical and quantum approaches, highlighting non-adiabatic effects.

Findings

Non-zero current observed in single-parameter driving contrary to adiabatic theory

Classical and quantum transport mechanisms are analyzed through scattering processes

Transport persists beyond linear response regimes

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.