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Chinese Physics B

The periodic death and anabiosis of the entanglement between two moving atoms

Deng Xiao-Juan, Mao-Fa Fang

Published Sep 1, 2008• 13 citations
Publisher

Abstract

This paper investigates the periodic death and anabiosis of the entanglement between two moving atoms interacting with the mode field, and discusses the influences of the atomic motion and the parameter of the mode field. The results show that, the atomic motion leads to the periodic death and anabiosis of the entanglement between two moving atoms, the time of the death and the amplitude of the anabiosis of the entanglement between two moving atoms depend on the initial states of two moving atoms and the parameter of the mode field.

DOI
10.1088/1674-1056/17/9/010

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This paper investigates the periodic death and anabiosis of the entanglement between two moving atoms interacting with the mode field, and discusses the influences of the atomic motion and the parameter of the mode field. The results show that, the atomic motion leads to the periodic death and anabiosis of the entanglement between two moving atoms, the time of the death and the amplitude of the anabiosis of the entanglement between two moving atoms depend on the initial states of two moving atoms and the parameter of the mode field.
We investigate the quantum entanglement in a system of two moving atoms interacting with a single mode field. An analytical solution for this system is obtained when both atoms are initially in the excited state and the field is in a coherent state. We study the effects of atomic motion and other parameters on the entanglement of the system and different bipartite partitions of the system (field–two atoms, atom–(field+atom)) through the tangles. The effect of atomic motion on the amount of entanglement between atoms and the field is also evaluated through the negativity. The results show that atomic motion leads to the periodic death and anabiosis of the entanglement between two moving atoms, and the time of the death and the amplitude of the anabiosis of the entanglement between two moving atoms depend on the coupling constant of two moving atoms and the parameter of the mode field.
Using the negative entropy method,the quantum entanglement character of the system of the coherent optical field interacting with the moving atom is studied.The influences of the atomic initial state,the field-mode structure parameter,the average photon number of the coherent field,the detuning,and the transition photon number on the entanglement character of the system are discussed.The result shows that the value of the entanglement degree of the system appears regular evolution and entanglement sudden death phenomenon(ESD)when the atomic motion is considered.When the atomic initial state tends to pure state,the entanglement degree of the system is larger relatively.With the increase of the average photon number of the coherent field,the value of the entanglement degree of the system becomes small,but the period for the regular evolution is almost unchanged.With the increase of the transition photon number,the value of the entanglement degree of the system becomes larger,the period of the oscillation becomes shorter,meanwhile the oscillation of the system becomes faster and faster.With the detuning increasing,the entanglement becomes small.
In this paper, the entanglement of two moving atoms induced by a single-mode field via a three-photon process is investigated. It is shown that the entanglement is dependent on the category of the field, the average photon number N , the number p of half-wave lengths of the field mode and the atomic initial state. Also, the sudden death and the sudden birth of the entanglement are detected in this model and the results show that the existence of the sudden death and the sudden birth depends on the parameter and the category of the mode field. In addition, the three-photon process is a higher order nonlinear process.
The atoms′ entanglement character of the moving atoms in tavis-cummings model with the binomial field interacting is studied.The results indicate that the two moving atoms entanglement state appears periodically.The influences of the atomic motion and the parameters of the binomial light field on the atoms′ entanglement character are discussed by means of the full quantum theory.The parameters of the binomial optical field has an effect on the entanglement、the frequency of oscillating and the range appearing entanglement phenomenon,but it does not influence periodicity of the entanglement of the evolution.The two atom′s speed influence the periodicity of the entanglement of the evolution in the middle state of the optical field.The atom′s speed does not influence the value of the entanglement and the frequency of oscillating of the atoms.
The quantum entanglement properties of the two-mode squeezing vacuum field interacting with the atomic motion via two-photon transition were studied based on quantum theory.The influences of atomic motion and the field structure on the quantum entanglement were investigated as the initial state of atom is in the excited state.The results showed that the degree of entanglement between two mode vacuum fields is influenced by the values of velocity of the atomic motion and the structure of the field-mode,but the periodic evolution of the entanglement properties cannot be destroyed.
Using negative entropy method,the quantum entanglement characteristics of the system of binomial optical field interacting with moving atom were studied.The influences of the atomic initial state,field-mode structure parameter,maximum photon number of binomial field,coefficient of binomial field,transition photon number and detuning were discussed.The results show that the value of entanglement degree of the system appears regular evolution and entanglement sudden death(ESD) phenomenon when atomic motion was considered.The increasing of the field-mode structure parameter shortens the period of the entanglement and results in a slight decreasing of amplitude.The atomic initial state affects the entanglement degree of the system.When the atomic initial state tends to pure state,the entanglement degree of the system is larger relatively.With increase of the maximum photon number of binomial field,the value of the entanglement degree of system becomes small,but the period for regular evolution is almost unchanged.When the field is in the middle states,the entanglement degree is smaller relatively.With the increase of the transition photon number,the value of the entanglement degree of the system becomes larger,the period of the oscillation becomes shorter,meanwhile the oscillation of the system becomes faster and faster.With the detuning increasing,the entanglement becomes small.