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Journal of Hebei Normal University

Control of Fidelity in the System of a Fock State Field Interacting with Two Atoms

SU Shaolon

Published Jan 1, 2015• 0 citations
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Abstract

By means of numerical methods,the fidelity of the system of a fock state field interacting with the two two-level atoms have been studied.The effects of cavity-atoms detuning,photon number and manipulation of the atom on fidelity of the system are discussed.The results show that the information is undistorted completely in the initial moment in the absence of manipulation of the atom.Moreover the frequency of the oscillation,the peak and the period of fidelity of the system can be controlled by cavity-atoms detuning,photon number and manipulation of the atom.The Information is distorted in the initial moment in the presence of the manipulation of atom.Fidelity of the system can be controlled by the manipulation of the classical filed.

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By means of numerical methods,the fidelity of the system of a fock state field interacting with the two two-level atoms have been studied.The effects of cavity-atoms detuning,photon number and manipulation of the atom on fidelity of the system are discussed.The results show that the information is undistorted completely in the initial moment in the absence of manipulation of the atom.Moreover the frequency of the oscillation,the peak and the period of fidelity of the system can be controlled by cavity-atoms detuning,photon number and manipulation of the atom.The Information is distorted in the initial moment in the presence of the manipulation of atom.Fidelity of the system can be controlled by the manipulation of the classical filed.
The character of the time evolution of the fidelity of quantum state in a system of a Fock state field interacting with three two-level atoms have been studied by means of numerical calculation and quantum fidelity.The variation of the fidelity of different quantum states which was taken the track on the field and the atomic and the influence of photon number on the fidelity of different quantum states have been discussed.The numerical results show that the greater the photon numbers are,the faster frequency of the oscillation of the fidelity of quantum state becomes.
The interaction between radiation and two-level atom was investigated by semi-classical theory and quantum theory respectively.The fidelity of the two-level atom's quantum state was written out, The influences of the radiation intensity in the case of semi-classical theory and the photon number of the radiation in the case of quantum theory on the fidelity were discussed for different atomic initial states.It is found that the fidelity of quantum state is independent of radiation intensity when the atom is initially in a superposition state and the atom interacts resonantly with the radiation field in semi-classical theory. The atom's quantum fidelity evolves periodically with time,and its frequency is modulated by radiation intensity.Furthermore,it can effectively change quantum information fidelity when the appropriate detuning is selected.
By means of numerical methods,we studied the fidelity of the system which contained a moving two-level atom and the binomial light field.The impact of different initial states is discussed to the fidelity of quantum states.The result showed that the velocity of atom effect the oscillation period of the fidelity,and different initial state of atom and the optical field parameters on the fidelity have a bigger influence.When the atom is in superposition state and the field has a bigger initial average number of photons the fidelity of the system has a higher value.
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.
By means of the full quantum theory,we investigate the fidelity of quantum informationin an arbitrary(pure and mixed) states of the two identical atoms system in highly detunedcavity QED,the influence of the initial state of systems and the degree of the atoms coupledon the fidelity of quantum information is discussed,and the physical properties of the fidelityevolution is revealed.It is showed that the fidelity of systems evolves periodic,the amplitudeof the fidelity evolution is modulated by the mixture of the atoms,and the evolution frequencyis controlled by the degree of atoms coupled.Choose a suitable initial state of the two-atomscoupled parameter and controlling the interaction time properlyone can get a high fidelityoutput,and emerge periodic quantum echo.