Quantum arrival times and operator normalization

A recent approach to arrival times used the fluorescence of an atom entering a laser illuminated region, and the resulting arrival-time distribution was close to the axiomatic distribution of Kijowski, but not exactly equal, neither in limiting cases nor after compensation of reflection losses by no...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2003-08, Vol.68 (2), Article 022111
Main Authors: Hegerfeldt, Gerhard C., Seidel, Dirk, Gonzalo Muga, J.
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
ATOMS
DISTRIBUTION
FLUORESCENCE
LASER RADIATION
OPTICS
POTENTIALS
PROBABILITY
QUANTUM MECHANICS
REFLECTION
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Summary:A recent approach to arrival times used the fluorescence of an atom entering a laser illuminated region, and the resulting arrival-time distribution was close to the axiomatic distribution of Kijowski, but not exactly equal, neither in limiting cases nor after compensation of reflection losses by normalization on the level of expectation values. In this paper we employ a normalization on the level of operators, recently proposed in a slightly different context. We show that in this case the axiomatic arrival-time distribution of Kijowski is recovered as a limiting case. In addition, it is shown that Allcock's complex potential model is also a limit of the physically motivated fluorescence approach and connected to Kijowski's distribution through operator normalization.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.68.022111