A trajectory-based understanding of quantum interference
arXiv:0806.2105 · doi:10.1088/1751-8113/41/43/435303
Abstract
Interference is one of the most fundamental features which characterizes quantum systems. Here we provide an exhaustive analysis of the interfere dynamics associated with wave-packet superpositions from both the standard quantum-mechanical perspective and the Bohmian one. From this analysis, clear and insightful pictures of the physics involved in this kind of processes are obtained, which are of general validity (i.e., regardless of the type of wave packets considered) in the understanding of more complex cases where interference is crucial (e.g., scattering problems, slit diffraction, quantum control scenarios or, even, multipartite interactions). In particular, we show how problems involving wave-packet interference can be mapped onto problems of wave packets scattered off potential barriers.
27 pages, 12 figures (shortened version)
References in corpus (8)
- The Vortex Phase Qubit: Generating Arbitrary, Counter-Rotating, Coherent Superpositions in Bose-Einstein Condensates via Optical Angular Momentum Beams
- A causal look into the quantum Talbot effect
- Arbitrary Coherent Superpositions of Quantized Vortices in Bose-Einstein Condensates from Orbital Angular Momentum Beams of Light
- Aspects of nonlocality from a quantum trajectory perspective: A WKB approach to Bohmian mechanics
- Interferences in the density of two Bose-Einstein condensates consisting of identical or different atoms
- Interplay of causticity and vorticality within the complex quantum Hamilton-Jacobi formalism
- Controlled splitting of an atomic wave packet
- Time-Dependent Density Functional Theory from a Bohmian Perspective
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