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Chaotic instanton approach allows to describe analytically the influence ofthe polychromatic perturbation on quantum properties of nonlinear systems.Double well system with single, multiple and polychromatic kicked perturbationis considered in the paper to compare quantitative analytical predictions withthe results of numerical calculations. Chaotic instantons are responsible forthe enhancement of tunneling far away from the exact (avoided) level crossingsin framework of the approach used. Time-independent averaged system is used forregular approximation of the chaotic instanton solution in order to take intoaccount its contribution to the ground quasienergy doublet splitting. Formulafor the ground quasienergy levels' splitting was derived averaging trajectoryaction in the stochastic layer in the framework of chaotic instanton approach.Results of quasienergy spectrum numerical calculations and simulations fortunneling dynamics are in good agreement with the obtained analyticalpredictions.

Chaotic instantons and enhancement of tunneling in double-well system with polychromatic perturbation