Atom-field interaction in the single-quantum limit in a two dimensional travelling-wave cavity

We analyze the interaction of an atom with two dimensional travelling-wave cavity modes in the strong coupling region, with the quantized atomic cente r of mass motion taken into account, Analytic and numerical calculation sho ws that the atom in two independent pairs of travelling wave modes can be m ade to interact only with a particular travelling mode by matching the init ial momentum and the detuning of the cavities. We also numerically investig ate the atomic momentum deflection in the cavities.