paper

A measurement-based approach to quantum arrival times

arXiv:quant-ph/0209027 · doi:10.1103/PhysRevA.66.052104

Abstract

For a quantum-mechanically spread-out particle we investigate a method for determining its arrival time at a specific location. The procedure is based on the emission of a first photon from a two-level system moving into a laser-illuminated region. The resulting temporal distribution is explicitly calculated for the one-dimensional case and compared with axiomatically proposed expressions. As a main result we show that by means of a deconvolution one obtains the well known quantum mechanical probability flux of the particle at the location as a limiting distribution.

11 pages, 4 figures, submitted to Phys. Rev. A

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