Hydrodynamic View of Wave-Packet Interference: Quantum Caves
arXiv:0810.1825 · doi:10.1103/PhysRevLett.102.250401
Abstract
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.
4 pages, 3 figures (major revisions with respect to the previous version have been carried out)
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Cited by in corpus (11)
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- Chaos and ergodicity in an entangled two-qubit Bohmian system
- Setting up tunneling conditions by means of Bohmian mechanics
- Energy Quantisation and Time Parameterisation
- Integrals of motion in 3-d Bohmian Trajectories
- How fast is the wave function collapse?
- Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
- Approach for modelling quantum-mechanical collapse