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Journal of Taiyuan University of Science and Technology

Influence of Entanglement Quantity in Vacuum Filed and Three-Level Cascade Atom in a Kerr Medium

Lai Yun-zhong

Published Jan 1, 2010• 0 citations
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Abstract

The influences of Kerr medium on entanglement quantity of three-level cascade atom are analyzed and discussed by using entire quantum theory.From the computation of system quantum reduction entropy,it is shown that the influence of coupling intensity on system's entanglement quantity is not evident and stable entanglement condition can be obtained by choosing an appropriate Kerr medium coefficient.

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The influences of Kerr medium on entanglement quantity of three-level cascade atom are analyzed and discussed by using entire quantum theory.From the computation of system quantum reduction entropy,it is shown that the influence of coupling intensity on system's entanglement quantity is not evident and stable entanglement condition can be obtained by choosing an appropriate Kerr medium coefficient.
The effects of optical field coherence parameter,modular photon number,Kerr medium coefficient and detuning on the entanglement evolution of cascade three-level atom in Kerr medium are studied based on quantum theory and numerical calculation.The results show that the entanglement between atoms is enhanced in stronger optical field and the entanglement become steady by increasing the modular photon number.Kerr effect is remarkable in more photon number.With invariable Kerr medium,the increase of detuning will strengthen the entanglement strength,but this effect primarily incarnates on initial time of interacting.
We have investigated the entanglement time evolution of two coupled two-level atoms in Kerr medium. Entanglement of the system is calculated by making use of concurrence. The influences of initial state, Kerr medium, and dipole-dipole coupling intensity between two atoms on the entanglement degree of the two atoms are revealed. Results show that the appropriate choice for the nonlinear coupling constant of Kerr medium and the dipole-dipole coupling intensity can improve the degree of atom-atom entanglement and eliminate the entanglement sudden death completely. We also find that invariant and stable entanglement occurs for a particular initial state.
The properties of the entanglement in the intensity-dependent coupling interaction between squeezing vacuum state field and atom with an additional Kerr medium are investigated by using the von Neumann entropy. The influences of nonlinear interaction intensity of Kerr medium and the squeezing degree of initial squeezing vacuum state field on the entanglement of the quantum system are discussed. The results show that the nonlinear interaction of Kerr medium can result in the generation of the maximally entangled state, disentangled-free state or disentangled state, and the degree of entanglement is stationary.
The quantum reduced entropy properties of a V-type three-level atom interacting with the two-mode odd-even entangled coherent field in Kerr medium are studied by means of quantum theory.The effects of the Kerr medium's coupling constant,the detuning,mean photon numbers of the fields on the entropy are discussed.The results show that the coupling strength of Kerr medium with the field influences the frequency of the entropy.The maximum values of entropy evolution decreases with the increasing of the detuning,meanwhile the frequencies increase,and the needed time to get the maximum value from the initial value zero is longer.When the mean photon numbers are too less or too more,the maximum values of entropy oscillation are much smaller.