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Journal of Weinan Normal University

STUDY on Evolution Properties of Fidelity of the Atomic Entangled State in the Union System

Wang Ju-xiaa

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

The evolution process of atomic entangled state is discussed in the interaction of light-field with atoms by use of the complete quantum theory.The influence of multi-parameter on atomic fidelity is studied.Taking advantage of computation,the results show that atoms are always in partly entangled states during the process of interaction atoms with light fields.The evolution properties of fidelity of the atomic quantum state with time appear oscillatory and collapse-revert in a manner similar to Rabi oscillation.Its oscillatory frequency is mainly modulated by the radiation intensity or photon numbers,the coupling intensity between atoms and fight field,the complex probability amplitude of atoms jump,and the complex probability amplitude of annihilate a photon in the light field.And other factors hardly effect on the atomic fidelity.Hence,the entanglement degree and fidelity of atoms could be enhanced or weakened through controlling the three above parameters.

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The evolution process of atomic entangled state is discussed in the interaction of light-field with atoms by use of the complete quantum theory.The influence of multi-parameter on atomic fidelity is studied.Taking advantage of computation,the results show that atoms are always in partly entangled states during the process of interaction atoms with light fields.The evolution properties of fidelity of the atomic quantum state with time appear oscillatory and collapse-revert in a manner similar to Rabi oscillation.Its oscillatory frequency is mainly modulated by the radiation intensity or photon numbers,the coupling intensity between atoms and fight field,the complex probability amplitude of atoms jump,and the complex probability amplitude of annihilate a photon in the light field.And other factors hardly effect on the atomic fidelity.Hence,the entanglement degree and fidelity of atoms could be enhanced or weakened through controlling the three above parameters.
Abstract The atom fidelity is investigated in a system consisting of Mtwo-level atoms and M single-mode fields by use of complete quantum theory and numerical evaluation method. The influences of various system parameters on the evolution of atomic fidelity are studied. The results show that the atomic fidelity evolves in a Rabi oscillation manner. The oscillation frequency is mainly modulated by the coupling strength between atoms and light field, the atomic transition probabilities and the average photon numbers. Other factors hardly impact on the atomic fidelity. The present results may provide a useful approach to the maintenance of the atomic fidelity in the atom cavity field systems.
The process of two-atom interacting with light field under considering atom-atom coupling and intensity-dependent coppling are investigated by mean of full quantum theory.The analysis law of evolutionary process of atomical fidelity is obtained.It is found that the variation of atomical fidelity with time presents the oscillation characteristics.The light field could revert to the initial coherent state at some microtime and the value of atomical fidelity less than 1 during most of interacting process,that is,both light fields and atoms are in complex entangled states.The above mentioned show that the interaction between atoms and light fields may leads to maintaining or cancaling the initial entanglement states.
The atom fidelity is investigated in a system consisting of Mtwo-level atoms and M single-mode Gelds by use of complete quantum theory and numerical evaluation method.The influences of various system parameters on the evolution of atomic Sdelity are studied.The results show that the atomic Sdelity evolves in a Rabi oscillation manner.The oscillation frequency is mainly modulated by the coupling strength between atoms and light Geld,the atomic transition probabilities and the average photon numbers.Other factors hardly impact on the atomic fidelity.The present results may provide a useful approach to the maintenance of the atomic Sdelity in the atom cavity Seld systems.
The evolution of quantum information of light field fidelity in the percedure interaction between two atoms and light field under considering atom-atom coupling and intensity-dependent coupling are investigated by mean of full quantum theory and numerical computation method.The results show that the light field fidelity relates closely with intensity of initial light field,coefficient of field-atom coupling,and coefficient of atom-atom coupling.The influence of these factors leads to fidelity oscillation.It is advantageous of improving the light field fidelity if controlling and making intensity of light weak and atom-atom coupling strong.The more stronger initial light intensity or atom-field coupling,the faster the frequency of light field fidelity and the more obvious varying regularity.The fidelity present also collapse-revert when initial light intensity or atom-atom coupling is strong.The light field could keep steady state during strongly coupling between atom and light field.
The atom fidelity and degree of entanglement were calculated in the system consisting of M two-level atoms and M multi-mode fields by use of complete quantum theory and number computing method.Through number computing and analyzing,it was found that the atom fidelity and the atom entangled degree present always oscillatory with opposite in phase if initial atoms are in separate state, and both of their frequency gradually increase with the intensity of light field increasing.The atom fidelity tends to 0and degree of entanglement tends to 1under strongly coupling between atoms and light fields.The small fidelity is disadvantage of information transfer but high-fidelity atom information transfer can still obtained by controlling appropriately interaction time.
The time evolution properties of the quantum fidelity in a system of multi-mode coherent light field resonantly interacting with a two-level atom via any Nj-degenerate N∑-photon transition process are studied by the fully quantum theory and numerical calculations. The analytical expressions of the quantum fidelity of field and atom, and the numerical calculation results for three-mode field interacting with the atom are obtained. Our attention focuses on the discussion of the influences of the initial average photon number, the atomic distribution angle, the phase angle of the atom dipole, the field excitation angle, and the atomic degeneracy on the evolution of the quantum fidelity. The results obtained from the numerical calculation indicate that the above factors lead to the quantum fidelity changing with oscillation behavior. The quantum fidelity of field and atom will drastically decrease as the initial light increases, which is correlated sensitively with the fidelity. The speed change of quantum fidelity is strongly dependent on the atomic degeneracy and the intensity coupling between atoms and fields. The value and frequency of the quantum fidelity change lightly with the atomic distribution angle and the angle of light field excitation as well. The phase angles of the atom dipole almost have no influences on the quantum fidelity of field and atom. According to these properties of the quantum fidelity, we can control the speed and value of quantum fidelity in the system by these constraint conditions.