Hydrodynamic view of wave-packet interference: quantum caves.
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
Chia-Chun
CC
Institute for Theoretical Chemistry and Department of Chemistry and Biochemistry, The University of Texas at Austin, Texas 78712, USA.
Sanz
Angel S
AS
Miret-Artés
Salvador
S
Wyatt
Robert E
RE