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Journal of Changsha University of Science & Technology

Photon Statistical Evolution in the Interaction System of Two Coupling Atoms with Squeezed Vacuum Field via Two-Photon Transition in Kerr Medium

Huiyong He

Published Jan 1, 2005• 0 citations
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Abstract

The time evolution of the average photon number in the interaction system of two coupling atoms with squeezed vacuum field via two-photon transition in Kerr medium are studied by means of quantum theory. The influences of the Kerr medium and field coupling constant and the dipole-dipole interaction between atoms on the average photon number are discussed.

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Journal of Changsha University of Science & Technology•Jan 1, 2003•0 citations
The time evolution of the average photon number in the interaction system of two coupling atoms with squeezed vacuum field via two-photon transition in Kerr medium are studied by means of quantum theory. The influences of the Kerr medium and field coupling constant and the dipole-dipole interaction between atoms on the average photon number are discussed.
The statistic properties of photons in the system of two-mode squeezing vacuum field interacting with two coupling atoms in Kerr medium are studied by means of quantum theory.The influences of coupling constant χ, initial squeezed parameter r and the atomic initial state are discussed. The results obtained by means of numerical method show that the photon bunching and anti-bunching appear alternately, and the correlation of the two modes of light is both positive and non-classical. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the two-mode field appears due to the influence of the Kerr effect. The periods of the collapse-revival become short up to disappearance with increasing Kerr effect.
In this paper, the quantum properties of light in a system of two coupling atoms interacting with a single-model squeezed vacuum field at the two-photon transition in Kerr medium are studied by means of quantum theory.The influences of the Kerr medium and the dipole-dipole interaction between atoms are discussed. The results show that when the Kerr effect and the dipole-dipole interaction between atoms may be neglected, the fluctuation of U2 can be squeezed periodically. With increasing the Kerr effect and the dipole-dipole interaction between atoms, the squeezing effect of light gradually becomes weak and the squeezing time of light gradually decreases. The periodical collapse-revival phenomenon of the time evolution of the second-order coherence degree of the field appears, which is caused by the influence of the Kerr effect and the dipole-dipole interaction between atoms. No matter how large are the coupling constants, the photon bunching always appears.