Bichromatically driven double well: Parametric perspective of the control landscape

TL;DR

This paper investigates the control landscape of a bichromatically driven double well system under strong fields, revealing regions where control is ineffective due to complex multilevel interactions and chaos.

Contribution

It introduces a parametric perspective using intensity-level velocity correlators to analyze the control landscape of a bichromatic double well system.

Findings

Identification of 'walls' of no control in the landscape

Robustness of these walls under phase variations

Association with chaotic Floquet states and multilevel interactions

Abstract

We numerically construct and study the control landscape of a $(\omega,2\omega)$ bichromatically driven double well in the presence of strong fields. The control landscape is obtained by correlating the overlap intensities between the floquet states and an initial phase space coherent state with the parametric motion of the quasienergies {\it i.e.,} intensity-level velocity correlator. "Walls" of no control, robust under variations of the relative phase between the fields, are seen in the control landscape and associated with multilevel interactions involving chaotic floquet states.