Topological view of quantum tunneling coherent destruction

[摘要] 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.

[发布机构] Departamento de Física, Universidade Federal de São Carlos, PO Box 676, São Carlos, SP; 13565-905, Brazil^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Asymmetric potential;Coherent destruction;Coherent tunneling;First excited state;Quantum mechanical;Quantum superpositions;Quantum tunneling;Symmetry-breaking