Bichromatically driven double well: parametric perspective of the strong-field control landscape reveals the influence of chaotic states

TL;DR

This paper investigates how chaotic states influence control landscapes in a bichromatically driven double well system under strong fields, revealing the role of chaos in control limitations and landscape features.

Contribution

It introduces a novel measure to analyze the control landscape and demonstrates the impact of chaotic Floquet states on control robustness and barriers.

Findings

Walls of no control linked to chaotic Floquet states

Control landscape features are shaped by multilevel chaotic interactions

Robust control regions are affected by chaos-induced barriers

Abstract

The aim of this work is to understand the influence of chaotic states in control problems involving strong fields. Towards this end, we numerically construct and study the strong field control landscape of a bichromatically driven double well. A novel measure based on correlating the overlap intensities between Floquet states and an initial phase space coherent state with the parametric motion of the quasienergies is used to construct and interpret the landscape features. "Walls" of no control, robust under variations of the relative phase between the fields, are seen on the control landscape and associated with multilevel interactions involving chaotic Floquet states.