Asymmetric double well system as effective model for the kicked one

TL;DR

This paper derives an effective Hamiltonian for a kicked double well system, introducing an asymmetric model that accurately describes quasienergy level splittings and is validated through numerical calculations.

Contribution

The paper presents a novel effective asymmetric Hamiltonian model for the kicked double well system, enhancing analytical and numerical understanding of quasienergy splittings.

Findings

Analytical description of quasienergy level splittings for low-lying doublets.

Numerical confirmation of the model's applicability.

Development of an effective asymmetric approach for kicked double well systems.

Abstract

Effective Hamiltonian for the kicked double well system was derived using the Campbell-Baker-Hausdorff expansion formula. Asymmetric model for the kicked system was constructed. Analytical description of the quasienergy levels splittings for the low laying doublets was given in the framework of the model. Numerical calculations confirm applicability of the proposed effective asymmetric approach for the double well system with the kick-type perturbation.