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Entanglement of an arbitrary state of the two identical two-level atoms simultaneously interacting with vacuum cavity field

Liu Xiao-juan

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

It's investigated that the entanglement of an arbitrary state between the two identical two-level atoms simultaneously interacting with vacuum cavity field by using negative quantum condition entropy.It's discussed that the influence of the initial states of system considered on the evolution of entanglement between the two atoms and compare the results of condition entropy of entanglement with those of entanglement between the two-atoms based on the concurrence.The results show that the negative quantum conditional entropy can be regarded as a entanglement measure of an arbitrary states of the two identical two-level atoms with simple calculated analytically.2figs.,12refs.

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It's investigated that the entanglement of an arbitrary state between the two identical two-level atoms simultaneously interacting with vacuum cavity field by using negative quantum condition entropy.It's discussed that the influence of the initial states of system considered on the evolution of entanglement between the two atoms and compare the results of condition entropy of entanglement with those of entanglement between the two-atoms based on the concurrence.The results show that the negative quantum conditional entropy can be regarded as a entanglement measure of an arbitrary states of the two identical two-level atoms with simple calculated analytically.2figs.,12refs.
From negative quantum conditional entropy point of view this paper intestigates the entanglement measure of the prue state and a kind of mixed state of bipartite quantum system. Also this paper gives a definition of quantum conditional entropy of entanglement EA｜B(ρAB) and proves that it satisfies the four fundamental conditions of a entanglement measure for a kind of mixed state of 2×2 quantum system by this negative quantum conditional entropy Using conditional entropy of entanglement, this paper investigates the quantum entanglement between the two identical two-level atoms simultaneously interacting with vacuum cavity field as an application. This paper compares conditional entropy of entanglement and concurrence at the same condition, and the result shows that the curves of their evolvements are identical. These obtained results test and verifys that conditions of an entanglement measure may be taken as the entanglement measure of the prue state and a kind of mixed state of bipartite quantum system.
When one of the two entangled two-level atoms interacts with a single-mode vacuum cavity resonantly,an arbitrary state measurement is made on one part of the system to control the entanglement state of the other two parts through choosing evolution times.The paper investigates the evolution characteristics of the three-body entanglement and the entanglement between two parts of the system at different initial state when measurements are not made.The results show that all entanglement in this system oscillates periodically,w-entangled state can be gotten via choosing appropriate initial state and interaction time,and the initial entanglement information between two atoms can be completely transferred to the atom outside of the cavity and the cavity field at a particular evolution moment.
The dynamics of entanglement of three two-level atoms initially in GHZ state system interacting with a Fock state field are investigated by means of concurrence and linear entropy.The effect of photon number on the time evolution of concurrence and linear entropy is analyzed.The results show that the phenomenon of sudden birth of entanglement between two atoms trapped in a cavity occurs and the threshold time and maximum for the creation of the entanglement can be controlled by the photon number.The measurement of the atom outside the cavity leads to the periodic evolution of the concurrence and an increase of the photon number results in decreasing in the maximum of concurrence and shortening of the evolution period of the time behavior of concurrence.
Under the condition of two-mode squeezed vacuum state field interacting with an atom via the intensity-dependent coupling,the degree of entanglement between the two mode fields is investigated by using quantum relative entropy.It is found that the evolution of degree of two-mode fields entanglement is periodic.When the initial field is strong,the degree of entanglement reach maximum at scaled time gt=kπ(k=0,1,2,…),and the different between the maximum and minimum of the entanglement measures is about 1.3 generally.When the initial field is very weak,the influence of atom initial state on the entanglement evolution is sensitive.And the maximum entanglement appears under the situation of atom in a superposition state of upper level and lower level with equal probability.The entanglement of the two mode fields can be adjusted by controlling the time of the atom passing the cavity and the initial state of the atom.
Considering two two-level atoms initially in the entanglement state,one atom of two atoms is put into initially Fock state light cavity and has resonant interaction.The entanglement evolution between atom in cavity and light field is investigated.Negativity is used to quantify the degree of entanglement.Through comparing the results if direct selective measurement is performed or not,the influences of state-selective measurement of the atom outside the cavity on the entanglement properties of between atom inside cavity and field are discussed.The results obtained using the numerical method show that the entanglement between atom inside cavity and light field is strengthened through the state-selective measurement of the atom outside the cavity.
In this article,the time evolution properties of the field entropy in the system of the two identical two-level entangled atoms interacting with the single-mode coherent light field are studied by means of full quantum theory.The influences of the initial states and the degree of entanglement of two identical two-level entangled atoms and the intensity of the light field on the field entropy are discussed by numerical calculations.The results show that the average value and the oscillation frequency of the field entropy increases with the increasing of the mean photon number,the oscillation of the field entropy presents stated periods in the weak light field and presents collapses and revivals in the increased light field,the amplitudes of field entropy increase with increasing initial degree of entanglement of two entangled atoms.