Chaotic instantons and enhancement of tunneling in kicked double-well system with time-reversal symmetry

TL;DR

This paper introduces a chaotic instanton approach to analyze dynamical tunneling in a kicked double-well system with time-reversal symmetry, deriving an analytical formula for quasienergy splitting that aligns well with numerical results.

Contribution

It develops a novel chaotic instanton method for describing tunneling in kicked systems and provides an analytical expression for quasienergy splitting dependent on perturbation parameters.

Findings

Analytical formula matches numerical results across various parameters.

Effective Hamiltonian constructed using matrix expansion.

Ground quasienergy splitting depends on perturbation strength and frequency.

Abstract

Chaotic instanton approach is used to describe dynamical tunneling in kicked double well system. Effective Hamiltonian for the kicked system is obtained using matrix expansion formula for operator exponent and exploited to construct an approximation for chaotic instanton solution. This approximation is used for derivation of the ground quasienergy splitting dependence on both the perturbation strength and frequency. Results of numerical calculations for corresponding ground quasienergy splitting dependencies based on Floquet theory are in good agreement with the derived analytical formula in a wide range of perturbation parameters.