引入了由N+1个单模腔构成的有心结构耦合腔物理模型.其中，中心腔起耦合器作用，其余N个腔通过N条光纤与中心腔耦合，并且每个腔囚禁1个二能级原子.在系统激发数等于1的情况下，给出了系统态矢的演化规律，研究了两原子间和两腔场间的几何量子失谐.通过数值计算，讨论了耦合腔数目和原子与腔场间耦合强度对几何量子失谐的影响.研究结果表明：随着腔数目的增加两原子间和两腔场间的几何量子失谐都减弱；随着原子与腔场间耦合系数增大，两原子间几何量子失谐减弱，但两腔场间几何量子失谐却加强.

A coupled-cavity system with a center is introduced. It is composed of N+1 single-mode cavities, each containing an identical two-level atom. One of them is at the center of the structure and is connected with other N cavities by optical fibers. The situation is considered that atom resonantly interacts with cavity field via a one-photon hopping, and the total excitation number of the system equals one. The evolution of the state vector of the system is derived. The geometrical quantum discords between atoms and that between cavities are investigated. The influences of atom-cavity coupling coefficient and the number of couple cavities on the geometrical quantum discords between two subsystems are studied. The results obtained by the numerical method show:the geometrical quantum discords between atoms and that between cavities are weakened with the increase of the number of coupled cavities; the atom-atom geometrical quantum discords is weakened, and the cavity-cavity geometrical quantum discords is strengthened with the increase of atom-cavity coupling constant.