Tunneling of quantum particle in parametrically driven double-well system

We numerically study a wavepacket tunneling in one-dimensional symmetric double-well potential with a coherent perturbation. In the classical dynamics, such a system shows chaotic behavior by the classical driving force. In the present paper, we show how the tunneling dynamics depends on the parameters such as the amplitude and frequency of the perturbation in comparison with the classical counterpart. The resonance and chaos strongly affect on the tunneling dynamics. It is shown that the classical chaos enhances tunneling rate and the quantum fluctuation in both resonant and non-resonant tunneling processes. We also discuss a relation between our model and decoherence in the quantum system.