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Physical Review A

Nonresonant interaction of a three-level atom with cavity fields. III. Photon-number probabilities and fluctuations

D. L. Lin, Xiao-shen Li, Yue-nan Peng

Published Feb 1, 1989• 17 citations
Publisher

Abstract

We study the photon statistics in the interaction of a three-level atom with cavity fields of arbitrary detunings. A number of new features of photon-number distributions and fluctuations are found and discussed. The possibility of sub-Poissonian and antibunching effects is also discussed.
DOI
10.1103/physreva.39.1933

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Quantum-statistical properties such as the photon-number probability distribution and sub-Poissonian distribution are studied by considering the resonant interaction of two radiation fields, one of which is in a squeezed state with a cascade-structure three-level atom. It is noteworthy to emphasize that the direction of squeezing, i.e., the angle \ensuremath{\theta}, and the squeezing parameter r as well as the initial atomic state play important roles in the determination of the nonclassical behavior of the radiation field. At the same time we give a possible explanation for the effect of the ratio of the intensity of the two fields on the quantum-statistical properties.
We present analytic results for the photon statistics of a weakly driven optical cavity containing N two-level atoms. The second-order intensity correlation function g(2)() is calculated in the weak field limit for arbitrary atomic and cavity loss rates, and cavity and atomic detunings are included. The transmitted light field may exhibit photon antibunching, sub-Poissonian photon statistics, and other novel nonclassical effects.1,2 The size of these effects depends principally on the single-atom coupling constant C1 = g2/κγ, so these effects persist with many atoms in the cavity. Our results can be interpreted via the collapse of the wave function and quantum interference of probability amplitudes. These phenomena can also be understood in terms of the self-homodyning of the driving field with squeezed polarization fluctuations.2