Dynamics of kicked particles in a double-barrier structure

TL;DR

This paper investigates the classical and quantum behavior of periodically kicked particles in a non-KAM double-barrier structure, revealing chaotic dynamics, energy saturation, and momentum filtering, with implications for experimental realization and localization phenomena.

Contribution

It introduces a novel analysis of non-KAM chaotic dynamics in a double-barrier system, highlighting unique phase space features and dynamical effects not seen in KAM systems.

Findings

Chaotic dynamics due to non-KAM nature.

Observation of non-equilibrium steady states.

Classically induced saturation of energy growth.

Abstract

We study the classical and quantum dynamics of periodically kicked particles placed initially within an open double-barrier structure. This system does not obey the Kolmogorov-Arnold-Moser (KAM) theorem and displays chaotic dynamics. The phase space features induced by non-KAM nature of the system leads to dynamical features such as the non-equilibrium steady state, classically induced saturation of energy growth and momentum filtering. We also comment on the experimental feasibility of this system as well as its relevance in the context of current interest in classically induced localization and chaotic ratchets.