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Chinese Journal of Quantum Electronics

Fidelity of quantum state for interacting system of the binomial photon field and atomic Bose-Einstein condensate

Gong Yan-li

Published Jan 1, 2008• 0 citations
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Abstract

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.

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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 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 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.
The squeezing properties of binomial state field interacting with Bose-Einstein condensate of two-level atoms are investigated within and without rotating-wave approximation by means of quantum theory. The influences of atomic eigenfrequency, the coupling constant between light field and atoms，the parameter of light field and the virtual photon field on squeezing properties have been discussed. The results show that two quadrature components can be squeezed periodically, and the duration of squeezing light has something to do with atomic eigenfrequency ω, and the degree of squeezing with the parameter of the binomial states field η and the virtual photon field. The frequency of light fluctuations collapse and revival is determined by the coupling constant between light field and atoms.
The squeezing properties of the binomial states field interacting with Bose-Einstein condensate(BEC) of two-level atoms were studied in this paper.The results indicated that one of the two quadrature components of light field evolves periodically with time and can be squeezed,and the system parameters influence the squeezing depth;the fluctuations of two quadrature components of the atomic laser can be squeezed alternatively as the variety of the parameter of light field interacting with atoms and the interaction among the atoms in BEC is disadvantageous to the squeezing of atomic lasers,whereas the atomic laser can show complete squeezing effects as the influence of light field is considered.