Abstract: The evolution properties of quantum information fidelity in a system of atomic Bose-Einstein condensate interacting with Pólya field state have been studied using quantum information theory and numerical calculation methods. The influences of the coupling intensity among the atoms of Bose- Einstein condensates, and the probability and distribution parameters of Pólya light field on the fidelity of quantum state are mainly focused. The results indicate that the fidelity of quantum information during the transmission depends on the coupling intensity among the atoms, as well as the optical field parameters. Among the three physical parameters, the probability parameter of the light field η have a crucial effect on the fidelity of quantum state. When η = 0.01, the fidelity of quantum information is very close to that in ideal transmission process for information. On the other hand, the oscillating frequency of the system fidelity would have the larger values with the increasing of coupling intensity among the atoms of Bose- Einstein condensate, but the range of system fidelity values remains unchanged.

Key words: quantum optics, fidelity, Bose-Einstein condensate, Pólya state field