Quantum tunneling dynamics in symmetrical driven double well system based on Husimi representation

Abstract

In present study, the quantum tunneling process in symmetrical driven double-well system is studied by using the entangled trajectory molecular dynamics method based on the Husimi representation. Quantum tunneling dynamics show three different physical mechanisms vary with the amplitude and frequency of driven force: reposeful tunneling, chaos-assisted tunneling, oscillatory tunneling. Different form other methods, quantum underline dynamics process are explored by showing entangled trajectory in the phase space. We show chaotic behavior of entangled trajectories in the phase space, and the quantum tunneling process is vividly shown by comparing entangled trajectory with the classical trajectory with the same initial state. Furthermore, we discuss the effect of symmetry breaking on the potential to the quantum dynamical process, quantum tunneling probability will be remarkably reduced by breaking potential’s symmetry. Finally, the suppression of quantum wave packet tunneling under strong force is presented.