Physics – Quantum Physics
Scientific paper
2008-10-10
Phys. Rev. Lett. 102, 250401 (2009)
Physics
Quantum Physics
4 pages, 3 figures (major revisions with respect to the previous version have been carried out)
Scientific paper
10.1103/PhysRevLett.102.250401
Wave-packet interference is investigated within the complex quantum Hamilton-Jacobi formalism using a hydrodynamic description. Quantum interference leads to the formation of the topological structure of quantum caves in space-time Argand plots. These caves consist of the vortical and stagnation tubes originating from the isosurfaces of the amplitude of the wave function and its first derivative. Complex quantum trajectories display counterclockwise helical wrapping around the stagnation tubes and hyperbolic deflection near the vortical tubes. The string of alternating stagnation and vortical tubes is sufficient to generate divergent trajectories. Moreover, the average wrapping time for trajectories and the rotational rate of the nodal line in the complex plane can be used to define the lifetime for interference features.
Chou Catherine
Miret-Artes Salvador
Sanz Angel S.
Wyatt Robert E.
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