The authors study the spontaneous emission of an atom described by an extended wavepacket. They show that the shape of the emitted line is affected by the Doppler shifts and carries the information of the initial wavefunction. The total intensity is found to exhibit a standard dipole pattern.
Utilizing a recently found solution to the problem of a spontaneously radiating atom with an extended center-of-mass wave function [K. Rza\ifmmode \mbox{\c{}}\else \c{}\fi{}\ifmmode \dot{z}\else \.{z}\fi{}ewski and W. \ifmmode \dot{Z}\else \.{Z}\fi{}akowicz, J. Phys. B 25, L319 (1992)] it is shown, for nonrelativistic atomic velocities, that the field density matrix is a statistical mixture of parts corresponding to emission from different positions within the wave packet. \textcopyright{} 1996 The American Physical Society.
Abstract Using Lehmberg's master equation and taking into account dipole‐dipole near‐field interaction the time‐dependent intensity pattern, intensity – and angular correlations of the cooperative spontaneous radiation from an initially fully excited system of three identical two‐level atoms are calculated. The intensity pattern developes lobes in different directions at different times in such a way that contrary to the two‐atom system the spatial distribution of the total number of the emitted photons differs from that of the single‐atom radiation pattern. In particular three atoms placed in proper distances on a straight line emit preferentially their energy along this line. At the beginning of the emission process the probability to find two photons simultaneously in the same (or geometrical equivalent) direction is always highest but in the course of time, contrary to the two‐atom case, it may well happen that the probability of finding two photons in quite different directions becomes more favoured.