  Slowing/stopping the light travelling in free space with electromagnetically
induced transparency to im- plement the optical quantum information processings
and store information has been paid much attention in recent years. For the
waveguide photons, here, we propose an approach to stop them with a
controllable atomic cavity generated by a pair of atomic mirrors; one of them
reflects the photon completely and an- other one with the adjustable
reflected/transmitted probability of the photons. Based on the full quantum
mechanical theory in real space, we show that the reflected/transmitted
probability of the waveguide photon with a fixed frequency can be controlled by
adjusting the energy-splitting of the driven two-level atomic scatters (i.e.,
atomic mirrors). As a consequence, the photon can be controllably
transmitted/reflected along the waveguide by the aside atomic mirrors with the
adjustable atomic energy levels. Ideally, the photons could be stopped in the
atomic cavity. This provides a novel mechanism to stop/retravel the waveguide
photon in a controllable ways. The feasibility of the proposal with the current
integrated optical devices is also discussed.
