On the Connection Between Chaos Assisted Tunneling and Coherent Destruction of Tunneling

TL;DR

This paper explores how classical chaos influences quantum tunneling in driven nonlinear systems, revealing a unified framework linking chaos assisted tunneling and coherent destruction of tunneling.

Contribution

It demonstrates that chaos and external driving create a common phase space mechanism affecting quantum tunneling rates and phenomena.

Findings

Tunneling rates become activated by classical barriers in chaotic systems.

Chaos assisted tunneling and coherent destruction are interconnected phenomena.

The framework provides insights for controlling tunneling in non-integrable quantum systems.

Abstract

The interplay between classical chaos and quantum tunneling is examined in driven nonlinear systems, with emphasis on how semi classical phase space structures influence purely quantum transport phenomena. We show that, in the presence of external driving and stochastic perturbations, tunneling rates acquire an activated form determined by effective classical barriers, providing a transparent link between chaotic dynamics and quantum tunneling. Within this framework, chaos assisted tunneling and coherent destruction of tunneling emerge as closely related manifestations of the same underlying phase space restructuring and interference effects induced by driving. The results offer a unified perspective on tunneling control in non integrable systems and remain relevant for modern studies of driven quantum dynamics and decoherence resistant transport.