Manifestation of classical wave delays in a fully quantized model of the scattering of a single photon

Physics – Quantum Physics

Scientific paper

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18 pages, 4 figures, revised for clarity, typos corrrected

Scientific paper

10.1088/1464-4266/5/1/312

We consider a fully quantized model of spontaneous emission, scattering, and absorption, and study propagation of a single photon from an emitting atom to a detector atom both with and without an intervening scatterer. We find an exact quantum analog to the classical complex analytic signal of an electromagnetic wave scattered by a medium of charged oscillators. This quantum signal exhibits classical phase delays. We define a time of detection which, in the appropriate limits, exactly matches the predictions of a classically defined delay for light propagating through a medium of charged oscillators. The fully quantized model provides a simple, unambiguous, and causal interpretation of delays that seemingly imply speeds greater than c in the region of anomalous dispersion.

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