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Physics Letters A

Photon statistics and atomic dynamics in a three-level plus two-mode model

Nikolay N. Bogolubov, Fam Le Kien, A.S. Shumovsky

Published Mar 1, 1985• 18 citations
Publisher
DOI
10.1016/0375-9601(85)90424-4

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Journal of Physics A Mathematical and General•Dec 1, 1986•19 citations
The characteristics of the photon statistical properties are studied in a soluble three-level plus two-mode model. The model consists of a single lambda-configuration three-level emitter interacting with two modes of the quantized radiation field, the emitter being initially in the lowest level. The normally ordered variances of the photon numbers and the cross-correlation function are calculated All the results are obtained without using perturbation theory and decorrelation approximations. It is shown that the states of the signal-mode field produced from its initial vacuum are sub-Poissonian for all times. For the case when both the signal-mode and pump-mode fields are initially in the Glauber coherent states the temporal behaviour of the photon statistical characteristics are described Under suitable conditions photon antibunching and anticorrelation between the modes are potentially possible in the system.
The properties of the two-mode mazer operating on V-type three-level atoms are studied. The effect of the one-atom pumping on the two modes of the cavity field in number-state is asymmetric, that is, the atom emits a photon into one mode with some probability and absorbs a photon from the other mode with some other probability. This effect makes the steady-state photon distribution and the steady-state photon statistics asymmetric for the two modes. The diagram of the probability currents for the photon distribution, given by the analysis of the master equation, reveals that there is no detailed balance solution for the master equation. The computations show that the photon statistics of one mode or both modes can be sub-Poissonian, that the two modes can have anticorrelation or correlation, that the photon statistics increases with the increase of thermal photons and that the resonant position and strength of the photon statistics are influenced by the ratio of the two coupling strengths of the two modes. These properties are also discussed physically.