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Published June 1, 1985 | public
Journal Article Open

Time dependence of photon correlations in a three-level atomic cascade

Abstract

The question of the temporal correlation of photons arising from a three-level atomic cascade is considered by calculating the joint probability of photoelectric detection for two detectors placed in the far field of the atomic emission. The analysis is carried out in the Heisenberg picture and involves the use of dipole, adiabatic (Weisskopf-Wigner), and rotating-wave approximations. Except for a small interval about zero time delay, which is however too short to be detected, it is found that the temporal correlation between emitted photons is one of sequential but otherwise statistically independent events, even when Landau's generalized decay and frequency-shift terms are included. This result is compared with a well-known expression for the joint spectral density of the emitted photons.

Additional Information

©1985 The American Physical Society Received 22 August 1984 This work was undertaken at the suggestion of Professor I. Prigogine. Stimulating discussions with him, with F. Mayne, and with H.J. Carmichal are gratefully acknowledged. Support has been provided by the National Science Foundation through Grants Nos. PHY-8211194 and PHY-8308048 and by the Robert A. Welch Foundation.

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August 22, 2023
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October 16, 2023