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Chinese Optics Letters

Fidelity of quantum state for interacting system of light field and atomic Bose-Einstein condensate

黄春佳, 周明, 孔凡志, 方家元, 莫克威

Published Jan 1, 2005• 0 citations
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Abstract

The evolution characteristics of quantum state fidelity in an interacting system of single-mode light field and atomic Bose-Einstein condensate have been studied and the influence of the initial light field intensity and the interaction among atoms of Bose-Einstein condensate on the quantum state fidelity respectively have been discussed.

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Jiguang zazhi•Jan 1, 2012•0 citations
The evolution characteristics of quantum state fidelity in an interacting system of single-mode light field and atomic Bose-Einstein condensate have been studied and the influence of the initial light field intensity and the interaction among atoms of Bose-Einstein condensate on the quantum state fidelity respectively have been discussed.
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.
We investigate the system of Bose-Einstein condensates interacting with SU(1, 1) coherent state in two-photon transition process, the entanglement of atom-field and the entanglement between the two-mode light field using the quantum reduced entropy and quantum relative entropy are studied, respectively . The influences of the coherent parameter of light field, two-mode photon number difference and interaction between atoms on the evolution of the entanglement of atom-field and the entanglement between the two-mode light field have been discussed.
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 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.
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.