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Acta Sinica Quantum Optica

Influence of Kerr Effect on the Atomic Occupancy in the Tavis-Cummings Model in Kerr Medium

Huang Zu-hong

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

?The time evolution of atomic occupancy in the system of two-mode squeezing vacuum field interacting with two coupled atoms in Kerr medium is studied by means of quantum theory. The influences of initial squeezed parameter r and coupled constant χ are discussed. The results show the periods of the collapses-revivals become short up to disappearance, as well as the amplitude of oscillations decreases with increasing the Kerr effect.

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Journal of Changsha University of Science & Technology•Jan 1, 2003•0 citations
?The time evolution of atomic occupancy in the system of two-mode squeezing vacuum field interacting with two coupled atoms in Kerr medium is studied by means of quantum theory. The influences of initial squeezed parameter r and coupled constant χ are discussed. The results show the periods of the collapses-revivals become short up to disappearance, as well as the amplitude of oscillations decreases with increasing the Kerr effect.
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.
The time evolution of atomic occupancy for the system of squeezed vacuum field interacting with two coupling atoms via intensity-dependent coupling in two-photon transition are investigated. The influences of the atomic initial state, the interaction between atoms and the initial squeezed parameter of field on the atomic occupancy are discussed. The results show that periodical collapse-revival phenomenon of the time evolution of atomic occupancy appears, which is caused by the influence of the dipole-dipole interaction between atoms. The periods of the collapse-revival shortens till the collapse-revival disappears while increasing the interaction between atoms. The amplitude of oscillations decreases in increasing the initial squeezed parameter of field.