Abstract
In this paper we studied the dynamics of the geometric quantum discord (GQD) in the two-dimensional coupled cavities system, composed of four single-mode cavities, each of which holds one two-level atom and is placed at one vertice of a square. The atoms resonantly interact with the corresponding cavity modes, and any pair of cavities placed on the same side are coupled via photon hopping. The evolutions of the GQDs between any pair of atoms and between any pair cavities are studied. The dependences of GQDs on the cavity-cavity coupling constant are discussed. The numerical simulations show that, with increase of cavity-cavity coupling, the GQDs between the atoms are strengthened, while those between the cavities are weakened.
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