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Journal of Hebei Normal University

Evolution of the Fidelity of Binomial State for Radiation Field Interacting with Two-level Atom

Yanli Zhang

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

The properties of the evolution of the fidelities under the interaction of binomial state for radiation field with two-level atom have been investigated.The influences of average photons and detuning on the fidelity have been discussed.The numerical results show that the more the average photons are,the lower the fidelities are;the higher detuning value is,the higher the fidelities are.

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Acta Sinica Quantum Optica•Jan 1, 2011•0 citations
The properties of the evolution of the fidelities under the interaction of binomial state for radiation field with two-level atom have been investigated.The influences of average photons and detuning on the fidelity have been discussed.The numerical results show that the more the average photons are,the lower the fidelities are;the higher detuning value is,the higher the fidelities are.
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 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.
The fidelity evolution of quantum state under the interaction of the binomial photon field and atomic Bose-Einstein condensate (BEC) are studied by full quantum theory.The influences of the interaction among atoms of BEC,the average atomic number of atomic BEC and the parameter of light field on the fidelity are investigated.The results indicate that the amplitude and oscillated period of fidelity of quantum information for the interaction system can be controlled by choosing the intensity of the interaction among atoms and the average atomic number on the ground state.And the change of the light parameter only plays a role on the fidelity effect.The higher fidelity can be obtained.by choosing suitable parameters.
By means of the quantum theory and the method of the negative eigenvalues of the partial transposition,the properties of entanglement evolution in the system of two two-level atoms coupled to a light field in the binomial state for radiation field are investigated in the presence of phase decoherence in the multiphoton Tavis-Cumming Model.The influences of the maximum number of photons,the coefficient of binomial state for radiation field,the phase decoherence coefficient and the number of the transitional photons on the entanglement degree between two atoms have been discussed.The results show that the entanglement between two atoms will get steady state more easily,and the steady value of the entanglement degree is bigger than before with the increase of the maximum number of photons in the presence of phase decoherence.The entanglement between two atoms will approach a steady state more easily.The steady value will be diminished with the increase of the coefficient of binomial state for radiation field in selecting the proper parameter.The periods of the entanglement evolution are more obvious when the coefficient η of binomial state for radiation field is smaller.The entanglement evolution does not have the periodicity and tends the disentanglement phenomenon easily with the increase of the phase decoherence coefficient.The periods of the entanglement evolution is shorten and the entanglement intensity is weaken with the increase of the number of the transitional photons.