The interaction of two-level atoms with two modes of a resonator, formed by
two weakly coupled cavities, is investigated. The first atom, passing thro
ugh one of the two cavities, excites the two field modes. The second atom t
hen, passing through the other cavity, tests the excitation. Since the phot
on generated by the first atom may be in the first or the second cavity, qu
antum interference phenomena are observed. Furthermore, the setup can be us
ed to generate maximum en tang led pairs of atoms. [S1050-2947(99)08709-0].