Stabilizing dynamical localization in driven tunneling

TL;DR

This paper investigates how to maintain dynamical localization in driven tunneling systems, showing that symmetry-breaking and environmental effects relax the conditions needed for localization.

Contribution

It generalizes the conditions for dynamical localization, demonstrating that exact Floquet level crossing is not necessary in asymmetric or dissipative systems.

Findings

Localization can be achieved without exact Floquet level crossing in asymmetric systems.

Symmetry-breaking relaxes the localization conditions.

Dissipative environments do not prevent localization under generalized conditions.

Abstract

Dynamical localization of a tunneling system by means of an oscillating external field is examined for an arbitrary doublet of tunneling states. We show that the condition of an exact crossing of Floquet levels, required for localization in a symmetric system, can be substantially relaxed for tunneling systems with broken symmetry. This generalization equally applies to tunneling systems coupled to a dissipative environment.