Topological view of quantum tunneling coherent destruction
arXiv:1701.03144 · doi:10.1088/1742-6596/880/1/012038
Abstract
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.
8 pages, 4 figures. Based on a poster presentation at DICE 2016 Spacetime - Matter - Quantum Mechanics ... news on missing links, 12th - 16th September 2016, Castiglioncello, Italy