Chaotic instantons in periodically perturbed double-well system

TL;DR

This paper investigates a kicked double-well system using analytical and numerical methods, deriving a phenomenological formula for quasienergy splitting based on chaotic instantons and confirming it with numerical results.

Contribution

It introduces a new phenomenological formula for quasienergy splitting in a kicked double-well system using the chaotic instanton approach.

Findings

Numerical results agree well with the phenomenological formula.

Resonance overlap criterion effectively describes quasienergy splitting.

Chaotic instantons provide insight into tunneling phenomena in driven systems.

Abstract

Kicked double-well system is investigated both analytically and numerically. Phenomenological formula for ground quasienergy splitting is obtained using resonances overlap criterion in the framework of chaotic instanton approach. Results of numerical calculations of quasienergy spectrum are in good agreement with the phenomenological formula.