  Quantum tunneling of the ground and first excited states in a quantum
superposition driven by a novel analytical configuration of a double-well (DW)
potential is investigated. Symmetric and asymmetric potentials are considered
as to support quantum mechanical zero mode and first excited state analytical
solutions. Reporting about a symmetry breaking that supports the quantum
conversion of a zero-mode stable vacuum into an unstable tachyonic quantum
state, two inequivalent topological scenarios are supposed to drive stable
tunneling and coherent tunneling destruction respectively. A complete prospect
of the Wigner function dynamics, vector field fluxes and the time dependence of
stagnation points is obtained for the analytical potentials that support stable
and tachyonic modes.
