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Chinese Journal of Quantum Electronics

Effect of initially atom coherence on two-mode-entanglement

Cui Hai-shen

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

Effect of the initially atom coherence on the two-mode-entanglement of three-level atom in cascade configuration was studied,according to the entanglement criterion proposed by Duan et al.The result shows that,entanglemengt of two-mode cavity field can be induced only when the atom coherence exists.If gain coefficient is unchanged,the degree of entanglement firstly increases and then decreases with the increase of detuning.In certain detuning circumstances,the degree of entanglement of two-mode cavity field increases with the increase of gain coefficient.If detuning is zero,the entanglemengt of two-mode cavity field can't be created,no matter whether the atomic coherence exists or not.

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Effect of the initially atom coherence on the two-mode-entanglement of three-level atom in cascade configuration was studied,according to the entanglement criterion proposed by Duan et al.The result shows that,entanglemengt of two-mode cavity field can be induced only when the atom coherence exists.If gain coefficient is unchanged,the degree of entanglement firstly increases and then decreases with the increase of detuning.In certain detuning circumstances,the degree of entanglement of two-mode cavity field increases with the increase of gain coefficient.If detuning is zero,the entanglemengt of two-mode cavity field can't be created,no matter whether the atomic coherence exists or not.
The atomic dipole squeezing effects in the system of a two-mode entangled states interacting with a Σ-type three-level atom were studied.We analyzed the effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of atomic initial state,the detuning,and the mean photon numbers on the atomic dipole squeezing effects.The results indicate that the influence of the(degree) of entanglement of the two-mode entangled coherent states on the atomic dipole squeezing effects isn't noticeable.While the atomic initial state is in the ground state or excited state,the atomic dipole squeezing effects can not occur.While the probability of atomic initial state in ground state is equal to that in the excited state,the atomic dipole squeezing reaches its maximum.The enhancing of the detuning results in the increase of the frequency of atomic dipole squeezing.When the mean photon number of mode 1 remains unchanged and the mean photon number of mode 2 increases,the depth of atomic dipole squeezing decreases and the(frequency) of atomic dipole squeezing doesn't change.
The atomic dipole amplitude-squared squeezing effects of a Ξ-type three-level atom interacting with two-mode entangled coherent states are investigated.The effects of the degree of entanglement of the two-mode entangled coherent states,the ground state probability amplitude of the atomic initial state,the detuning,the mean photon number and the atom-field coupling constant on the atomic dipole amplitude-squared squeezing are analyzed.The results indicate that the light squeezing effects depend on the degree of entanglement of the two-mode entangled coherent optical fields,the detuning,the mean photon numbers,the atom-field coupling constant and the atomic initial state.
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.
The quantum entanglement of the two mode coherent field interacting with a cascade three-level atom was calculated accurately with non-rotating wave approximation by using the complete quantum theory.The influences of the superposition between different atomic energy level at the initial time and the mean photon number on quantum entanglement evolution were considered.The results obtained by the numerical method show that the period of the quantum entanglement evolution becomes longer with the increase of the mean photon number when the atom initially at the single energy level,the quantum entanglement at the first few periods is reduced notably due to the fact of the atom is initially in the superposition state,it takes longer time for the entanglement to reach the maximum value with the increase of the mean photon number,moreover,because of the atom is initially in the superposition state,the periodic disappears.No matter which atom state,the quick oscillation due to the virtual photon process increases with the increasing of the mean photon number.